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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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:
w:en:Creative Commons
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Date/TimeThumbnailDimensionsUserComment
current23:36, 2 January 2016Thumbnail for version as of 23:36, 2 January 2016720 × 540 (19 KB)Nicoguaro (talk | contribs){{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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