Quantum/Classical Correspondence for the Harmonic Oscillator

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

The red regions show the probability density for a quantum harmonic oscillator with quantum number ; the blue curve shows the analogous classical probability distribution. Note that they approach one another as becomes large, in accord with Bohr's correspondence principle.

Contributed by: Niels Walet (March 2011)
Open content licensed under CC BY-NC-SA



This is a standard calculation that can be found in most quantum mechanics textbooks; for example, the Manchester University OER course.

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.