Eigenfunctions for a Linear Potential Field

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 computes the quantum-mechanical eigenvalues and eigenfunctions for a particle in a linear potential field (with ℏ=1, for simplicity). This corresponds to the classical case of a constant external force. The solutions involve Airy functions, which behave asymptotically like decreasing exponentials to the right of the turning point and sinusoidally to the left.

Contributed by: Soobin Sinn (June 2009)
Suggested by: Mahn-Soo Choi (Korea University)
Open content licensed under CC BY-NC-SA




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.