Jump to content

File:Poschl-Teller potential.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (SVG file, nominally 720 × 540 pixels, file size: 19 KB)

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:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

2 January 2016

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current23:36, 2 January 2016Thumbnail for version as of 23:36, 2 January 2016720 × 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...

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata