Wavelength for de Broglie waves

Clash Royale CLAN TAG#URR8PPP

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Starting from this old question How to draw a sine wave on a circular path in tikz I have modified the source code according for my interest:

 documentclass[tikz]standalone
 usepackagepgfplots
 usepackageamsmath
 begindocument

 foreach n in3,4%
 begintikzpicture
 beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
 addplot[samples=400,domain=0:2*pi,very thick,red] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
 addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
 node at (axis cs:0,0)$colorbluebullet$;
 node at (axis cs:0,-1)$n=n$;
 endaxis
 endtikzpicture
 
enddocument

I have raised the following questions, hoping very much for your help:

• how to create wavelengths automatically with labels when the number n changes.

(see figure below)

• how you can create the waves of de Broglie (colored in violet) always with the same nucleus as from previous image.

Thank you very much for your patience and cooperation.
My greetings and thanks.

tikz-pgf

share|improve this question

edited 3 hours ago

asked 4 hours ago

Sebastiano

7,83941654

add a comment | 

up vote
3
down vote

favorite

Starting from this old question How to draw a sine wave on a circular path in tikz I have modified the source code according for my interest:

 documentclass[tikz]standalone
 usepackagepgfplots
 usepackageamsmath
 begindocument

 foreach n in3,4%
 begintikzpicture
 beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
 addplot[samples=400,domain=0:2*pi,very thick,red] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
 addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
 node at (axis cs:0,0)$colorbluebullet$;
 node at (axis cs:0,-1)$n=n$;
 endaxis
 endtikzpicture
 
enddocument

I have raised the following questions, hoping very much for your help:

• how to create wavelengths automatically with labels when the number n changes.

(see figure below)

• how you can create the waves of de Broglie (colored in violet) always with the same nucleus as from previous image.

Thank you very much for your patience and cooperation.
My greetings and thanks.

tikz-pgf

share|improve this question

edited 3 hours ago

asked 4 hours ago

Sebastiano

7,83941654

add a comment | 

up vote
3
down vote

favorite

up vote
3
down vote

favorite

Starting from this old question How to draw a sine wave on a circular path in tikz I have modified the source code according for my interest:

 documentclass[tikz]standalone
 usepackagepgfplots
 usepackageamsmath
 begindocument

 foreach n in3,4%
 begintikzpicture
 beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
 addplot[samples=400,domain=0:2*pi,very thick,red] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
 addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
 node at (axis cs:0,0)$colorbluebullet$;
 node at (axis cs:0,-1)$n=n$;
 endaxis
 endtikzpicture
 
enddocument

I have raised the following questions, hoping very much for your help:

• how to create wavelengths automatically with labels when the number n changes.

(see figure below)

• how you can create the waves of de Broglie (colored in violet) always with the same nucleus as from previous image.

Thank you very much for your patience and cooperation.
My greetings and thanks.

tikz-pgf

share|improve this question

edited 3 hours ago

asked 4 hours ago

Sebastiano

7,83941654

Starting from this old question How to draw a sine wave on a circular path in tikz I have modified the source code according for my interest:

 documentclass[tikz]standalone
 usepackagepgfplots
 usepackageamsmath
 begindocument

 foreach n in3,4%
 begintikzpicture
 beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
 addplot[samples=400,domain=0:2*pi,very thick,red] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
 addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
 node at (axis cs:0,0)$colorbluebullet$;
 node at (axis cs:0,-1)$n=n$;
 endaxis
 endtikzpicture
 
enddocument

I have raised the following questions, hoping very much for your help:

• how to create wavelengths automatically with labels when the number n changes.

(see figure below)

• how you can create the waves of de Broglie (colored in violet) always with the same nucleus as from previous image.

Thank you very much for your patience and cooperation.
My greetings and thanks.

tikz-pgf

tikz-pgf

share|improve this question

edited 3 hours ago

asked 4 hours ago

Sebastiano

7,83941654

share|improve this question

edited 3 hours ago

asked 4 hours ago

Sebastiano

7,83941654

share|improve this question

share|improve this question

edited 3 hours ago

edited 3 hours ago

edited 3 hours ago

asked 4 hours ago

Sebastiano

7,83941654

asked 4 hours ago

Sebastiano

7,83941654

asked 4 hours ago

Sebastiano

7,83941654

7,83941654

add a comment | 

add a comment | 

1 Answer
1

active

oldest

votes

up vote
2
down vote

Here is a proposal. Of course, one can further tune it.

documentclass[tikz]standalone
usepackagepgfplots
usepackageamsmath
usetikzlibrarydecorations.markings,calc
begindocument
tikzsetmark two maxima/.style n args=3%
postaction=decorate,decoration=markings,
mark=at position #1 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway] (x0);,
mark=at position #2 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway](x1);
path let p1=($(x1)-(x0)$),n1=atan2(y1,x1) in pgfextraxdefmyangn1;
draw [purple,rotate=-90+2*myang,latex-latex] (x1) arc(#2*360:0:2.15cm+6pt) node[midway,fill=white]#3
-- (x0);
foreach n in3,4%
begintikzpicture
beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
addplot[samples=400,domain=0:2*pi,very thick,red,
mark two maxima=01/n$lambda_n$] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
node at (axis cs:0,0)$colorbluebullet$;
node at (axis cs:0,-1)$n=n$;
endaxis
endtikzpicture

enddocument

share|improve this answer

edited 3 hours ago

answered 3 hours ago

marmot

69.4k476148

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you very much. +1. lambda_3 is very near to dashed circunference: why? Can you to find a better alternative, please, putting also the arrows with the tick violet marks instead of black?
  – Sebastiano
  3 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Sebastiano Better now. (The transformations to the tangent space are tricky and confused me for a while.)
  – marmot
  3 hours ago
  

  
  
  
  

add a comment | 

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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
2
down vote

Here is a proposal. Of course, one can further tune it.

documentclass[tikz]standalone
usepackagepgfplots
usepackageamsmath
usetikzlibrarydecorations.markings,calc
begindocument
tikzsetmark two maxima/.style n args=3%
postaction=decorate,decoration=markings,
mark=at position #1 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway] (x0);,
mark=at position #2 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway](x1);
path let p1=($(x1)-(x0)$),n1=atan2(y1,x1) in pgfextraxdefmyangn1;
draw [purple,rotate=-90+2*myang,latex-latex] (x1) arc(#2*360:0:2.15cm+6pt) node[midway,fill=white]#3
-- (x0);
foreach n in3,4%
begintikzpicture
beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
addplot[samples=400,domain=0:2*pi,very thick,red,
mark two maxima=01/n$lambda_n$] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
node at (axis cs:0,0)$colorbluebullet$;
node at (axis cs:0,-1)$n=n$;
endaxis
endtikzpicture

enddocument

share|improve this answer

edited 3 hours ago

answered 3 hours ago

marmot

69.4k476148

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you very much. +1. lambda_3 is very near to dashed circunference: why? Can you to find a better alternative, please, putting also the arrows with the tick violet marks instead of black?
  – Sebastiano
  3 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Sebastiano Better now. (The transformations to the tangent space are tricky and confused me for a while.)
  – marmot
  3 hours ago
  

  
  
  
  

add a comment | 

up vote
2
down vote

Here is a proposal. Of course, one can further tune it.

documentclass[tikz]standalone
usepackagepgfplots
usepackageamsmath
usetikzlibrarydecorations.markings,calc
begindocument
tikzsetmark two maxima/.style n args=3%
postaction=decorate,decoration=markings,
mark=at position #1 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway] (x0);,
mark=at position #2 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway](x1);
path let p1=($(x1)-(x0)$),n1=atan2(y1,x1) in pgfextraxdefmyangn1;
draw [purple,rotate=-90+2*myang,latex-latex] (x1) arc(#2*360:0:2.15cm+6pt) node[midway,fill=white]#3
-- (x0);
foreach n in3,4%
begintikzpicture
beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
addplot[samples=400,domain=0:2*pi,very thick,red,
mark two maxima=01/n$lambda_n$] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
node at (axis cs:0,0)$colorbluebullet$;
node at (axis cs:0,-1)$n=n$;
endaxis
endtikzpicture

enddocument

share|improve this answer

edited 3 hours ago

answered 3 hours ago

marmot

69.4k476148

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you very much. +1. lambda_3 is very near to dashed circunference: why? Can you to find a better alternative, please, putting also the arrows with the tick violet marks instead of black?
  – Sebastiano
  3 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Sebastiano Better now. (The transformations to the tangent space are tricky and confused me for a while.)
  – marmot
  3 hours ago
  

  
  
  
  

add a comment | 

up vote
2
down vote

up vote
2
down vote

Here is a proposal. Of course, one can further tune it.

documentclass[tikz]standalone
usepackagepgfplots
usepackageamsmath
usetikzlibrarydecorations.markings,calc
begindocument
tikzsetmark two maxima/.style n args=3%
postaction=decorate,decoration=markings,
mark=at position #1 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway] (x0);,
mark=at position #2 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway](x1);
path let p1=($(x1)-(x0)$),n1=atan2(y1,x1) in pgfextraxdefmyangn1;
draw [purple,rotate=-90+2*myang,latex-latex] (x1) arc(#2*360:0:2.15cm+6pt) node[midway,fill=white]#3
-- (x0);
foreach n in3,4%
begintikzpicture
beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
addplot[samples=400,domain=0:2*pi,very thick,red,
mark two maxima=01/n$lambda_n$] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
node at (axis cs:0,0)$colorbluebullet$;
node at (axis cs:0,-1)$n=n$;
endaxis
endtikzpicture

enddocument

share|improve this answer

edited 3 hours ago

answered 3 hours ago

marmot

69.4k476148

Here is a proposal. Of course, one can further tune it.

documentclass[tikz]standalone
usepackagepgfplots
usepackageamsmath
usetikzlibrarydecorations.markings,calc
begindocument
tikzsetmark two maxima/.style n args=3%
postaction=decorate,decoration=markings,
mark=at position #1 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway] (x0);,
mark=at position #2 with draw[purple] (0,0) -- (0,-12pt) coordinate[midway](x1);
path let p1=($(x1)-(x0)$),n1=atan2(y1,x1) in pgfextraxdefmyangn1;
draw [purple,rotate=-90+2*myang,latex-latex] (x1) arc(#2*360:0:2.15cm+6pt) node[midway,fill=white]#3
-- (x0);
foreach n in3,4%
begintikzpicture
beginaxis[axis equal,
 xmin=-3,xmax=3,
 ymin=-3,ymax=3,
 axis lines=none]
addplot[samples=400,domain=0:2*pi,very thick,red,
mark two maxima=01/n$lambda_n$] ((2+.3*cos(deg(n*x)))*cos(deg(x)),(2+.3*cos(deg(n*x)))*sin(deg(x)));
addplot[samples=40,domain=0:2*pi,dashed] (2*cos(deg(x)),2*sin(deg(x)));
node at (axis cs:0,0)$colorbluebullet$;
node at (axis cs:0,-1)$n=n$;
endaxis
endtikzpicture

enddocument

share|improve this answer

edited 3 hours ago

answered 3 hours ago

marmot

69.4k476148

share|improve this answer

share|improve this answer

edited 3 hours ago

edited 3 hours ago

edited 3 hours ago

answered 3 hours ago

marmot

69.4k476148

answered 3 hours ago

marmot

69.4k476148

answered 3 hours ago

marmot

69.4k476148

69.4k476148

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you very much. +1. lambda_3 is very near to dashed circunference: why? Can you to find a better alternative, please, putting also the arrows with the tick violet marks instead of black?
  – Sebastiano
  3 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Sebastiano Better now. (The transformations to the tangent space are tricky and confused me for a while.)
  – marmot
  3 hours ago
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Thank you very much. +1. lambda_3 is very near to dashed circunference: why? Can you to find a better alternative, please, putting also the arrows with the tick violet marks instead of black?
  – Sebastiano
  3 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Sebastiano Better now. (The transformations to the tangent space are tricky and confused me for a while.)
  – marmot
  3 hours ago
  

  
  
  
  

Thank you very much. +1. lambda_3 is very near to dashed circunference: why? Can you to find a better alternative, please, putting also the arrows with the tick violet marks instead of black?
– Sebastiano
3 hours ago

Thank you very much. +1. lambda_3 is very near to dashed circunference: why? Can you to find a better alternative, please, putting also the arrows with the tick violet marks instead of black?
– Sebastiano
3 hours ago

@Sebastiano Better now. (The transformations to the tangent space are tricky and confused me for a while.)
– marmot
3 hours ago

@Sebastiano Better now. (The transformations to the tangent space are tricky and confused me for a while.)
– marmot
3 hours ago

add a comment | 

 

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