Mixing
Plotting sine function on a diagram
Clash Royale CLAN TAG#URR8PPP
up vote
6
down vote
favorite
1
I'm trying to plot a sine on a diagram (the wavefunction for a particle in a box). The intended result is:
However, the current situation is the following:
which is obtained from the following code:
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
beginaxis[
%axis lines = none,
xmin = 0, xmax = 3,
ymin = 0, ymax =1,
]
addplot[domain = 0 : pi]sin(deg(x));
endaxis
endtikzpicture
What would be the easiest way to plot the above?
More, specifically: some help with the syntax and options of axis and addplot related to scaling and translation will be greatly appreciated.
tikz-pgf
asked Aug 28 at 15:11
Ziezi
18929
add a comment |Â
up vote
6
down vote
favorite
1
I'm trying to plot a sine on a diagram (the wavefunction for a particle in a box). The intended result is:
However, the current situation is the following:
which is obtained from the following code:
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
beginaxis[
%axis lines = none,
xmin = 0, xmax = 3,
ymin = 0, ymax =1,
]
addplot[domain = 0 : pi]sin(deg(x));
endaxis
endtikzpicture
What would be the easiest way to plot the above?
More, specifically: some help with the syntax and options of axis and addplot related to scaling and translation will be greatly appreciated.
tikz-pgf
asked Aug 28 at 15:11
Ziezi
18929
add a comment |Â
up vote
6
down vote
favorite
1
up vote
6
down vote
favorite
1
1
I'm trying to plot a sine on a diagram (the wavefunction for a particle in a box). The intended result is:
However, the current situation is the following:
which is obtained from the following code:
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
beginaxis[
%axis lines = none,
xmin = 0, xmax = 3,
ymin = 0, ymax =1,
]
addplot[domain = 0 : pi]sin(deg(x));
endaxis
endtikzpicture
What would be the easiest way to plot the above?
More, specifically: some help with the syntax and options of axis and addplot related to scaling and translation will be greatly appreciated.
tikz-pgf
asked Aug 28 at 15:11
Ziezi
18929
I'm trying to plot a sine on a diagram (the wavefunction for a particle in a box). The intended result is:
However, the current situation is the following:
which is obtained from the following code:
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
beginaxis[
%axis lines = none,
xmin = 0, xmax = 3,
ymin = 0, ymax =1,
]
addplot[domain = 0 : pi]sin(deg(x));
endaxis
endtikzpicture
What would be the easiest way to plot the above?
More, specifically: some help with the syntax and options of axis and addplot related to scaling and translation will be greatly appreciated.
tikz-pgf
asked Aug 28 at 15:11
Ziezi
18929
asked Aug 28 at 15:11
Ziezi
18929
asked Aug 28 at 15:11
Ziezi
18929
asked Aug 28 at 15:11
Ziezi
18929
18929
add a comment |Â
add a comment |Â
3 Answers
3
active
oldest
votes
up vote
7
down vote
accepted
An option result like the first given image, and some of the nice summary of the code shown in other answers.
RESULT:
MWE:
documentclass[tikz,border=0pt]standalone
usetikzlibraryarrows.meta
usepackage[scaled]helvet
usepackagestix
begindocument
definecolorbgHTMLFFE4C7
pagecolorbg
begintikzpicture[
%Environment cfg
>=Stealth[length=9pt,inset=0],
font=sffamily
]
defL3
defDeep6
defBorder0.8
defh10.6
defAmp1
defSpread1.2
fill[black!40]
(0,0)
|- ++(L,-Deep)
|- ++(Border,Deep)
|- ++(-L -2*Border,-Deep -Border)
|- cycle;
draw[line width=2pt, <->]
(0,0)++(0,h1)
node[anchor=south](T1)$mathsfinfty$
|- ++(L,-Deep-h1) -- ++(0,Deep+h1)
node[anchor=south](T2)$mathsfinfty$;
draw[thick,<->]
(0,-Deep+0.5) -- ++ (L,0) node[midway,fill=bg]L = L;
foreach n in 1,2,3,4
draw[very thick]
(-0.4,-Deep+n*Spread) noden=n
plot[
variable=x,
domain=0:L,
smooth
](x,-Deep+n*Spread+0.4*sin(x*360*0.5*n/L));
endtikzpicture
enddocument
answered Aug 28 at 18:51
J Leon V.
6,331528
add a comment |Â
up vote
7
down vote
You do not necessarily need pgfplots for that. EDIT: Error fixed, big thanks to Max!
documentclass[tikz,border=3.14mm]standalone
begindocument
definecolormygrayRGB127,127,127
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[latex-latex,very thick] (0, 0) to (6, 0);
draw[-latex,very thick] (2, 0) to (2, 4);
draw[-latex,very thick] (4, 0) to (4, 4);
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,1+0.4*cos(x*120));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,2-0.4*sin(x*180));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,3-0.4*cos(x*270));
endtikzpicture
enddocument
answered Aug 28 at 15:58
marmot
55.9k461122
@Max Good catch, thanks! +1 to your beautiful answer.
– marmot
Aug 28 at 16:13
1
No problem! You don't have to refer to me for such tiny details, the answer is still yours completely :)
– Max
Aug 28 at 16:14
1
@Max I thank you because I am really grateful. (One should not post answers while sitting in talks and having unstable internet .... ;-)
– marmot
Aug 28 at 17:09
add a comment |Â
up vote
7
down vote
An alternative to @marmot's answer which uses the sin and cos path commands:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.5
draw (2,1) sin ++(1,amplitude) cos ++(1,-amplitude);
draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
Edit
Just for fun, the same solution but now using a nested foreach to draw an arbitrary number of waves with increasing frequency:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.2
foreach i in 1,...,8
draw[blue] (2,(i-1)*amplitude*2.2+1.1*amplitude) foreach j [evaluate=j as dir using (-1)^j]in 1,...,i
sin ++(1/i,-1*dir*amplitude) cos ++(1/i,dir*amplitude)
;
%draw (2,1) sin ++(1/1,amplitude) cos ++(1/1,-amplitude);
%draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
%draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
answered Aug 28 at 16:01
Max
5,96811727
add a comment |Â
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
7
down vote
accepted
An option result like the first given image, and some of the nice summary of the code shown in other answers.
RESULT:
MWE:
documentclass[tikz,border=0pt]standalone
usetikzlibraryarrows.meta
usepackage[scaled]helvet
usepackagestix
begindocument
definecolorbgHTMLFFE4C7
pagecolorbg
begintikzpicture[
%Environment cfg
>=Stealth[length=9pt,inset=0],
font=sffamily
]
defL3
defDeep6
defBorder0.8
defh10.6
defAmp1
defSpread1.2
fill[black!40]
(0,0)
|- ++(L,-Deep)
|- ++(Border,Deep)
|- ++(-L -2*Border,-Deep -Border)
|- cycle;
draw[line width=2pt, <->]
(0,0)++(0,h1)
node[anchor=south](T1)$mathsfinfty$
|- ++(L,-Deep-h1) -- ++(0,Deep+h1)
node[anchor=south](T2)$mathsfinfty$;
draw[thick,<->]
(0,-Deep+0.5) -- ++ (L,0) node[midway,fill=bg]L = L;
foreach n in 1,2,3,4
draw[very thick]
(-0.4,-Deep+n*Spread) noden=n
plot[
variable=x,
domain=0:L,
smooth
](x,-Deep+n*Spread+0.4*sin(x*360*0.5*n/L));
endtikzpicture
enddocument
answered Aug 28 at 18:51
J Leon V.
6,331528
add a comment |Â
up vote
7
down vote
accepted
An option result like the first given image, and some of the nice summary of the code shown in other answers.
RESULT:
MWE:
documentclass[tikz,border=0pt]standalone
usetikzlibraryarrows.meta
usepackage[scaled]helvet
usepackagestix
begindocument
definecolorbgHTMLFFE4C7
pagecolorbg
begintikzpicture[
%Environment cfg
>=Stealth[length=9pt,inset=0],
font=sffamily
]
defL3
defDeep6
defBorder0.8
defh10.6
defAmp1
defSpread1.2
fill[black!40]
(0,0)
|- ++(L,-Deep)
|- ++(Border,Deep)
|- ++(-L -2*Border,-Deep -Border)
|- cycle;
draw[line width=2pt, <->]
(0,0)++(0,h1)
node[anchor=south](T1)$mathsfinfty$
|- ++(L,-Deep-h1) -- ++(0,Deep+h1)
node[anchor=south](T2)$mathsfinfty$;
draw[thick,<->]
(0,-Deep+0.5) -- ++ (L,0) node[midway,fill=bg]L = L;
foreach n in 1,2,3,4
draw[very thick]
(-0.4,-Deep+n*Spread) noden=n
plot[
variable=x,
domain=0:L,
smooth
](x,-Deep+n*Spread+0.4*sin(x*360*0.5*n/L));
endtikzpicture
enddocument
answered Aug 28 at 18:51
J Leon V.
6,331528
add a comment |Â
up vote
7
down vote
accepted
up vote
7
down vote
accepted
An option result like the first given image, and some of the nice summary of the code shown in other answers.
RESULT:
MWE:
documentclass[tikz,border=0pt]standalone
usetikzlibraryarrows.meta
usepackage[scaled]helvet
usepackagestix
begindocument
definecolorbgHTMLFFE4C7
pagecolorbg
begintikzpicture[
%Environment cfg
>=Stealth[length=9pt,inset=0],
font=sffamily
]
defL3
defDeep6
defBorder0.8
defh10.6
defAmp1
defSpread1.2
fill[black!40]
(0,0)
|- ++(L,-Deep)
|- ++(Border,Deep)
|- ++(-L -2*Border,-Deep -Border)
|- cycle;
draw[line width=2pt, <->]
(0,0)++(0,h1)
node[anchor=south](T1)$mathsfinfty$
|- ++(L,-Deep-h1) -- ++(0,Deep+h1)
node[anchor=south](T2)$mathsfinfty$;
draw[thick,<->]
(0,-Deep+0.5) -- ++ (L,0) node[midway,fill=bg]L = L;
foreach n in 1,2,3,4
draw[very thick]
(-0.4,-Deep+n*Spread) noden=n
plot[
variable=x,
domain=0:L,
smooth
](x,-Deep+n*Spread+0.4*sin(x*360*0.5*n/L));
endtikzpicture
enddocument
answered Aug 28 at 18:51
J Leon V.
6,331528
An option result like the first given image, and some of the nice summary of the code shown in other answers.
RESULT:
MWE:
documentclass[tikz,border=0pt]standalone
usetikzlibraryarrows.meta
usepackage[scaled]helvet
usepackagestix
begindocument
definecolorbgHTMLFFE4C7
pagecolorbg
begintikzpicture[
%Environment cfg
>=Stealth[length=9pt,inset=0],
font=sffamily
]
defL3
defDeep6
defBorder0.8
defh10.6
defAmp1
defSpread1.2
fill[black!40]
(0,0)
|- ++(L,-Deep)
|- ++(Border,Deep)
|- ++(-L -2*Border,-Deep -Border)
|- cycle;
draw[line width=2pt, <->]
(0,0)++(0,h1)
node[anchor=south](T1)$mathsfinfty$
|- ++(L,-Deep-h1) -- ++(0,Deep+h1)
node[anchor=south](T2)$mathsfinfty$;
draw[thick,<->]
(0,-Deep+0.5) -- ++ (L,0) node[midway,fill=bg]L = L;
foreach n in 1,2,3,4
draw[very thick]
(-0.4,-Deep+n*Spread) noden=n
plot[
variable=x,
domain=0:L,
smooth
](x,-Deep+n*Spread+0.4*sin(x*360*0.5*n/L));
endtikzpicture
enddocument
answered Aug 28 at 18:51
J Leon V.
6,331528
edited Aug 28 at 23:14
answered Aug 28 at 18:51
J Leon V.
6,331528
answered Aug 28 at 18:51
J Leon V.
6,331528
answered Aug 28 at 18:51
J Leon V.
6,331528
6,331528
add a comment |Â
add a comment |Â
up vote
7
down vote
You do not necessarily need pgfplots for that. EDIT: Error fixed, big thanks to Max!
documentclass[tikz,border=3.14mm]standalone
begindocument
definecolormygrayRGB127,127,127
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[latex-latex,very thick] (0, 0) to (6, 0);
draw[-latex,very thick] (2, 0) to (2, 4);
draw[-latex,very thick] (4, 0) to (4, 4);
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,1+0.4*cos(x*120));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,2-0.4*sin(x*180));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,3-0.4*cos(x*270));
endtikzpicture
enddocument
answered Aug 28 at 15:58
marmot
55.9k461122
@Max Good catch, thanks! +1 to your beautiful answer.
– marmot
Aug 28 at 16:13
1
No problem! You don't have to refer to me for such tiny details, the answer is still yours completely :)
– Max
Aug 28 at 16:14
1
@Max I thank you because I am really grateful. (One should not post answers while sitting in talks and having unstable internet .... ;-)
– marmot
Aug 28 at 17:09
add a comment |Â
up vote
7
down vote
You do not necessarily need pgfplots for that. EDIT: Error fixed, big thanks to Max!
documentclass[tikz,border=3.14mm]standalone
begindocument
definecolormygrayRGB127,127,127
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[latex-latex,very thick] (0, 0) to (6, 0);
draw[-latex,very thick] (2, 0) to (2, 4);
draw[-latex,very thick] (4, 0) to (4, 4);
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,1+0.4*cos(x*120));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,2-0.4*sin(x*180));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,3-0.4*cos(x*270));
endtikzpicture
enddocument
answered Aug 28 at 15:58
marmot
55.9k461122
@Max Good catch, thanks! +1 to your beautiful answer.
– marmot
Aug 28 at 16:13
1
No problem! You don't have to refer to me for such tiny details, the answer is still yours completely :)
– Max
Aug 28 at 16:14
1
@Max I thank you because I am really grateful. (One should not post answers while sitting in talks and having unstable internet .... ;-)
– marmot
Aug 28 at 17:09
add a comment |Â
up vote
7
down vote
up vote
7
down vote
You do not necessarily need pgfplots for that. EDIT: Error fixed, big thanks to Max!
documentclass[tikz,border=3.14mm]standalone
begindocument
definecolormygrayRGB127,127,127
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[latex-latex,very thick] (0, 0) to (6, 0);
draw[-latex,very thick] (2, 0) to (2, 4);
draw[-latex,very thick] (4, 0) to (4, 4);
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,1+0.4*cos(x*120));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,2-0.4*sin(x*180));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,3-0.4*cos(x*270));
endtikzpicture
enddocument
answered Aug 28 at 15:58
marmot
55.9k461122
You do not necessarily need pgfplots for that. EDIT: Error fixed, big thanks to Max!
documentclass[tikz,border=3.14mm]standalone
begindocument
definecolormygrayRGB127,127,127
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[latex-latex,very thick] (0, 0) to (6, 0);
draw[-latex,very thick] (2, 0) to (2, 4);
draw[-latex,very thick] (4, 0) to (4, 4);
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,1+0.4*cos(x*120));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,2-0.4*sin(x*180));
draw[blue,thick] plot[variable=x,domain=-1:1,smooth] (x+3,3-0.4*cos(x*270));
endtikzpicture
enddocument
answered Aug 28 at 15:58
marmot
55.9k461122
edited Aug 28 at 16:12
answered Aug 28 at 15:58
marmot
55.9k461122
answered Aug 28 at 15:58
marmot
55.9k461122
answered Aug 28 at 15:58
marmot
55.9k461122
55.9k461122
@Max Good catch, thanks! +1 to your beautiful answer.
– marmot
Aug 28 at 16:13
1
No problem! You don't have to refer to me for such tiny details, the answer is still yours completely :)
– Max
Aug 28 at 16:14
1
@Max I thank you because I am really grateful. (One should not post answers while sitting in talks and having unstable internet .... ;-)
– marmot
Aug 28 at 17:09
add a comment |Â
@Max Good catch, thanks! +1 to your beautiful answer.
– marmot
Aug 28 at 16:13
1
No problem! You don't have to refer to me for such tiny details, the answer is still yours completely :)
– Max
Aug 28 at 16:14
1
@Max I thank you because I am really grateful. (One should not post answers while sitting in talks and having unstable internet .... ;-)
– marmot
Aug 28 at 17:09
@Max Good catch, thanks! +1 to your beautiful answer.
– marmot
Aug 28 at 16:13
@Max Good catch, thanks! +1 to your beautiful answer.
– marmot
Aug 28 at 16:13
1
1
No problem! You don't have to refer to me for such tiny details, the answer is still yours completely :)
– Max
Aug 28 at 16:14
No problem! You don't have to refer to me for such tiny details, the answer is still yours completely :)
– Max
Aug 28 at 16:14
1
1
@Max I thank you because I am really grateful. (One should not post answers while sitting in talks and having unstable internet .... ;-)
– marmot
Aug 28 at 17:09
@Max I thank you because I am really grateful. (One should not post answers while sitting in talks and having unstable internet .... ;-)
– marmot
Aug 28 at 17:09
add a comment |Â
up vote
7
down vote
An alternative to @marmot's answer which uses the sin and cos path commands:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.5
draw (2,1) sin ++(1,amplitude) cos ++(1,-amplitude);
draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
Edit
Just for fun, the same solution but now using a nested foreach to draw an arbitrary number of waves with increasing frequency:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.2
foreach i in 1,...,8
draw[blue] (2,(i-1)*amplitude*2.2+1.1*amplitude) foreach j [evaluate=j as dir using (-1)^j]in 1,...,i
sin ++(1/i,-1*dir*amplitude) cos ++(1/i,dir*amplitude)
;
%draw (2,1) sin ++(1/1,amplitude) cos ++(1/1,-amplitude);
%draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
%draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
answered Aug 28 at 16:01
Max
5,96811727
add a comment |Â
up vote
7
down vote
An alternative to @marmot's answer which uses the sin and cos path commands:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.5
draw (2,1) sin ++(1,amplitude) cos ++(1,-amplitude);
draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
Edit
Just for fun, the same solution but now using a nested foreach to draw an arbitrary number of waves with increasing frequency:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.2
foreach i in 1,...,8
draw[blue] (2,(i-1)*amplitude*2.2+1.1*amplitude) foreach j [evaluate=j as dir using (-1)^j]in 1,...,i
sin ++(1/i,-1*dir*amplitude) cos ++(1/i,dir*amplitude)
;
%draw (2,1) sin ++(1/1,amplitude) cos ++(1/1,-amplitude);
%draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
%draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
answered Aug 28 at 16:01
Max
5,96811727
add a comment |Â
up vote
7
down vote
up vote
7
down vote
An alternative to @marmot's answer which uses the sin and cos path commands:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.5
draw (2,1) sin ++(1,amplitude) cos ++(1,-amplitude);
draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
Edit
Just for fun, the same solution but now using a nested foreach to draw an arbitrary number of waves with increasing frequency:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.2
foreach i in 1,...,8
draw[blue] (2,(i-1)*amplitude*2.2+1.1*amplitude) foreach j [evaluate=j as dir using (-1)^j]in 1,...,i
sin ++(1/i,-1*dir*amplitude) cos ++(1/i,dir*amplitude)
;
%draw (2,1) sin ++(1/1,amplitude) cos ++(1/1,-amplitude);
%draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
%draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
answered Aug 28 at 16:01
Max
5,96811727
An alternative to @marmot's answer which uses the sin and cos path commands:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.5
draw (2,1) sin ++(1,amplitude) cos ++(1,-amplitude);
draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
Edit
Just for fun, the same solution but now using a nested foreach to draw an arbitrary number of waves with increasing frequency:
documentclass[tikz,margin=2mm]standalone
definecolormygraygray0.4
begindocument
% Diagram of a particle in 1D infinite potential well.
newcommandvandbarrier[1]%
node at (#1, 1) scriptsize $V = infty$;
node[scale = 0.5] at (#1, 0.5) textbf(Barrier);%
newcommandvabove[1]%
node[anchor = south] at (#1, 2) scriptsize $V = infty$;%
begintikzpicture
fill[mygray] % mygray is custom defined color.
(0, 0) rectangle (2, 4)
(4, 0) rectangle (6, 4);
vandbarrier1.0
vandbarrier5.0
node[anchor = north] at (2, 0) scriptsize 0;
node[anchor = north] at (4, 0) scriptsize $L$;
node[anchor = north] at (6, 0) scriptsize $x$;
draw[<->] (0, 0) to (6, 0);
draw[->] (2, 0) to (2, 4);
draw[->] (4, 0) to (4, 4);
pgfmathsetmacroamplitude0.2
foreach i in 1,...,8
draw[blue] (2,(i-1)*amplitude*2.2+1.1*amplitude) foreach j [evaluate=j as dir using (-1)^j]in 1,...,i
sin ++(1/i,-1*dir*amplitude) cos ++(1/i,dir*amplitude)
;
%draw (2,1) sin ++(1/1,amplitude) cos ++(1/1,-amplitude);
%draw (2,2) sin ++(1/2,amplitude) cos ++(1/2,-amplitude) sin ++(1/2,-amplitude) cos ++(1/2,amplitude);
%draw (2,3) sin ++(1/3,amplitude) cos ++(1/3,-amplitude) sin ++(1/3,-amplitude) cos ++(1/3,amplitude) sin ++(1/3,amplitude) cos ++(1/3,-amplitude);
endtikzpicture
enddocument
answered Aug 28 at 16:01
Max
5,96811727
edited Aug 28 at 16:20
answered Aug 28 at 16:01
Max
5,96811727
answered Aug 28 at 16:01
Max
5,96811727
answered Aug 28 at 16:01
Max
5,96811727
5,96811727
add a comment |Â
add a comment |Â
Â
draft saved
draft discarded
Â
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f448166%2fplotting-sine-function-on-a-diagram%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
