Boundary Conditions for a Semi-Infinite 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 the solutions to the time-independent Schrödinger equation, treating energy as a continuous parameter. Once appropriate boundary conditions are applied, the energy levels become quantized and the corresponding eigenfunction and its first derivative are continuous across the boundary. The left and right panels show the wavefunction and corresponding energy, respectively. If the energy is equal to one of its eigenvalues, the wavefunction is smooth across the boundary; otherwise it develops a kink.

Contributed by: Porscha McRobbie and Eitan Geva (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


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.
Send