Abstract.There exists a great variety of quantum distribution functions in phase space that are widely used in many branches of quantum physics. The Kirkwood distribution function turned out to be a generating function for almost all of them. It is also known as Terletsky or Rihaczek quasi-probability. The goal of the work is to present some computer based graphical examples of Kirkwood and Wigner distribution functions for some typical systems, such as harmonic oscillator, potential and hydrogen atom, studied in physics.

Received: August 17, 2007

AMS Subject Classification: 30-04, 60-04

Key Words and Phrases: distribution functions, phase space, computer graphing

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4