File:Bloch function.svg
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Size of this PNG preview of this SVG file: 765 × 333 pixels. Other resolutions: 320 × 139 pixels | 640 × 279 pixels | 1,024 × 446 pixels | 1,280 × 557 pixels | 2,560 × 1,114 pixels.
Original file (SVG file, nominally 765 × 333 pixels, file size: 8 KB)
Summary
| Description |
English: Solid line: A schematic of a typical Bloch wave in one dimension. (The actual wave is complex; this is the real part.) The dotted line is from the eik·r factor. The light circles represent atoms.
Español: En línea sólida: Un esbozo de una onda de Bloch típica en una dimensión. (La onda es, en realidad, compleja, y aquí sólo se muestra la parte real). En línea punteada: el factor eik·r. Los círculos suaves representan átomos. |
| Date | |
| Source | Own work |
| Author | Nicoguaro |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
from scipy.special import mathieu_cem
x = np.linspace(-0.6, 0.8, 301)
y0 = np.cos(np.pi*x)
y1, _ = mathieu_cem(1, 1, 8*180*x)
y1 = y1 + 0.3*np.cos(24*np.pi*x + 3)
y1 = y0 * y1/np.max(y1)
fig = plt.figure(figsize=(10, 4))
centers = np.arange(-0.5, 0.8, 0.25)
plt.plot([-0.6, 0.8], [0, 0], 'k', zorder=3)
plt.scatter(centers, 0*centers, s=300, alpha=0.5, color="gray", zorder=4)
plt.plot(x, y0, '--k', lw=1, zorder=5)
plt.plot(x, y1, 'k', lw=2, zorder=6)
plt.axis([-0.6, 0.8, -1, 1])
plt.axis("off")
plt.savefig("Bloch function.svg", bbox_inches="tight", pad_inches=0.1)
plt.show()
|
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 4.0 International license.
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- 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.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:21, 10 February 2016 | | 765 × 333 (8 KB) | wikimediacommons>Nicoguaro | User created page with UploadWizard |
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