Quantum Particle in a Multi-step Potential Well

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows solutions of the one-dimensional Schrödinger equation in a multi-step potential well, confined between . The controls on the left determine the heights and widths of the segments of the potential well. Select a quantum number (from 1 to 20) to plot the eigenfunction of the Schrödinger equation . The Schrödinger equation is then solved numerically using Mathematica's built-in function NDEigensystem. Energies are expressed in units of . The wavefunctions are plotted in red, in arbitrary units, with the black curves showing the corresponding probability densities.

Contributed by: Srivishnupreeth Rendla (July 2016)
(Wolfram Summer Camp 2016)
Open content licensed under CC BY-NC-SA




[1] A. Messiah, Quantum Mechanics, New York: John Wiley & Sons, 1958.

[2] R. Shankar, Principles of Quantum Mechanics, 2nd ed., New York: Plenum, 1994.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.