File:Wignerfunction fock 4.png
![File:Wignerfunction fock 4.png](http://upload.wikimedia.org/wikipedia/commons/thumb/3/37/Wignerfunction_fock_4.png/800px-Wignerfunction_fock_4.png)
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Summary
DescriptionWignerfunction fock 4.png |
English: Wigner function of a Fock state with photon number n=4. |
Date | |
Source |
Own work![]() This diagram was created with Mathematica by n. |
Author | Geek3 |
Source code
fock[n_, q_, p_] := (-1)^n /
Pi Exp[-q ^2 - p^2] LaguerreL[n, 2 q^2 + 2 p^2];
rq = 4; rp = 4; t = 0.003; FontS = 20;
For[n = 0, n <= 4, n++, plot = Show[Plot3D[fock[n, q, p],
{q, -rq, rq}, {p, -rp, rp}, ImageSize -> 800,
Mesh -> {Range[-Floor[rq], Floor[rq] ],
Range[-Floor[rp], Floor[rp] ], Range[-1, 1, 1/4]/Pi},
MeshFunctions -> {#1 &, #2 &, #3 &},
MeshStyle -> {Directive[Black, Thickness[t] ],
Directive[Black, Thickness[t] ],
Directive[White, Thickness[t] ]},
PlotRange -> {-1/Pi, 1/Pi}, PlotPoints -> 81, MaxRecursion -> 4,
Method -> {Refinement -> {ControlValue -> 0.02} },
PerformanceGoal -> "Quality",
PlotStyle -> Opacity[0.85], Lighting -> "Classic",
ColorFunction -> ({RGBColor[1, 1, 0.75], Glow[GrayLevel[0.06] ],
Specularity[0.5, 60]} &),
Axes -> False, Boxed -> False,
ViewPoint ->
FromSphericalCoordinates[{Sqrt[229/20], Pi/3, -0.64 Pi}] ],
Graphics3D[{Thickness -> t, Black,
Line[{ {-rq, rp, 0}, {-rq, -rp, 0}, {rq, -rp, 0} }]}],
Graphics3D[{Thickness -> t, Black,
Line[{ {-rq, rp, -1/Pi}, {-rq, rp, 1/Pi} }]}],
(* q ticks *)
Sequence @@
Table[Graphics3D[{Thickness -> t, Black,
Line[{ {x, -rp, 0}, {x, -0.2 - rp, 0} }]}], {x, -Floor[rq],
Floor[rq]}],
(* p ticks *)
Sequence @@
Table[Graphics3D[{Thickness -> t, Black,
Line[{ {-rq, y, 0}, {-rq - 0.2, y, 0} }]}], {y, -Floor[rp],
Floor[rp - 1/2]}],
(*W ticks *)
Sequence @@
Table[Graphics3D[{Thickness -> t, Black,
Line[{ {-rq, rp, z/(2 Pi)}, {-rq - 0.2, rp,
z/(2 Pi)} }]}], {z, -2, 2}],
(* box *)
(*Graphics3D[{Thickness\[Rule]t/2,Gray,Line[{ {rq,-rp,1/Pi},{rq,rp,
1/Pi},{-rq,rp,1/Pi} }],Line[{ {rq,rp,0},{rq,rp,1/Pi} }],
Line[{ {rq,-rp,0},{rq,-rp,1/Pi} }]}],*)
(* axes labels *)
Graphics3D[Text[Style["q", FontS, Black], {0, -rp*1.15, -0.07}] ],
Graphics3D[Text[Style["p", FontS, Black], {-rq*1.15, 0, -0.07}] ],
Graphics3D[
Text[Style["W", FontS, Black], {-rq*0.93, rp*0.93, 0.8/Pi}] ],
Sequence @@
Table[Graphics3D[{Text[
Style[TextString[x], FontS,
Black], {x, -rp - 0.10 Max[rq, rp], 0}, {0,
1}]}], {x, -Floor[rq], Floor[rq]}],
Sequence @@
Table[Graphics3D[{Text[
Style[TextString[y], FontS, Black], {-rq - 0.10 Max[rq, rp],
y, 0}, {0, 1}]}], {y, -Floor[rp], Floor[rp - 1/2]}],
Sequence @@
Table[Graphics3D[{Text[
Style[If[z == 0, "0", ToString[z/(2 Pi), TraditionalForm] ],
FontS, Black], {-rq - 0.3, rp, z/2/Pi}, {1, 0}]}], {z, -2,
2}],
BoxRatios -> {Automatic, Automatic, 6}, PlotRange -> All
];
trim = { {0., .25}, {.95, .91} };
imgname = "Wignerfunction_fock_" <> TextString[n] <> ".png";
Export[imgname,
ImageResize[
ImageTrim[Image[plot, ImageResolution -> 400], trim,
DataRange -> { {0, 1}, {0, 1} }], 2000, Resampling -> "Linear"] ];
]
Licensing
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![attribution](https://upload.wikimedia.org/wikipedia/commons/thumb/1/11/Cc-by_new_white.svg/24px-Cc-by_new_white.svg.png)
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- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
![]() |
This image has been assessed using the Quality image guidelines and is considered a Quality image.
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 16:45, 20 May 2019 | ![]() | 2,000 × 1,250 (885 KB) | Geek3 | User created page with UploadWizard |
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