PHYSICS AND MATHEMATICS

Study of probable and quasi-probable distributions with the help of specialized software

A. A. Koziy^a, I. I. Minchenko^a, M. G. Komarova^a, E. O. Kiktenko<sup>ab

a</sup> Bauman Moscow State Technical University
^b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: The article provides theoretical information on probability and quasi-probability (Wigner functions) distribution functions, as well as on the methods for finding them for various classical and quantum problems, respectively. We developed a computer program that enables the modeling of the evolution of the probability and quasi-probability distribution function for various problems. It is demonstrated that probable and quasi-probable distributions can have both similarities and differences for each particular problem.

Keywords: quasi-probability distribution, Wigner function, free particle, quantum harmonic oscillator, potential well with infinitely high walls.

DOI: 10.23670/IRJ.2017.60.004