Wavepacket for a Free Particle

Requires a Wolfram Notebook System

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

In general, the wavefunction of a free particle is a superposition of infinitely many harmonic waves. In this Demonstration the probability distribution of momenta is assumed to be a Gaussian with average and standard deviation . The Demonstration allows you to follow the time evolution of the real and imaginary parts of the wavefunction, of the probability distribution function, and of (the real part of) the five partial harmonic waves corresponding to , . The circle in the wavefunction and probability distribution plots shows the positions of a classical particle moving with momentum p = < p >. The circle on the crest of each partial harmonic wave moves with the respective phase velocity. Units: , .

Contributed by: Andrés Santos (January 2009)
Open content licensed under CC BY-NC-SA


Snapshots


Details



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