File:Poschl-Teller potential.svg
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Original file (SVG file, nominally 720 × 540 pixels, file size: 19 KB)
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| Description |
English: Symmetric Pöschl-Teller potential: . It shows the eigenvalues for μ=1, 2, 3, 4, 5, 6.
Español: Potencial de Pöschl-Teller simétrico: . También se muestran los valores propios para μ=1, 2, 3, 4, 5, 6. |
| Date | |
| Source | Own work |
| Author | Nicoguaro |
This file was created with Python, SciPy and Matplotlib.
from __future__ import division
from numpy import cosh, arccosh, sqrt, linspace
import matplotlib.pyplot as plt
from matplotlib import rcParams
rcParams['font.family'] = 'serif'
rcParams['font.size'] = 16
lam = 6
x = linspace(-3, 3, 201)
y = -lam * (lam + 1)/(2 * cosh(x)**2)
plt.plot(x, y, 'k', lw=2, zorder=4)
for k in range(1, lam + 1):
yval = -0.5* k**2
xval = arccosh( sqrt(-lam**2/yval - lam/yval)/sqrt(2))
plt.plot([-xval, xval], [yval, yval], 'r', lw=2, zorder=3)
plt.xlabel(r"$x$")
plt.ylabel(r"$V(x)$")
plt.savefig("Poschl-Teller potential.svg")
plt.show()
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
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- to remix – to adapt the work
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:36, 2 January 2016 | | 720 × 540 (19 KB) | Nicoguaro | {{subst:Upload marker added by en.wp UW}} {{Information |Description = {{en|Symmetric Pöschl-Teller potential: <math> -\frac{\lambda(\lambda +1)}{2} \operatorname{sech}^2(x)</math>. It shows the eigenvalues for μ=1, 2, 3, 4, 5.}} |Source = {{own}} |D... |
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