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Meždunar. nauč.-issled. žurn., 2017, Issue 6-3(60), Pages 72–81 (Mi irj186)  

PHYSICS AND MATHEMATICS

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

A. A. Koziya, I. I. Minchenkoa, M. G. Komarovaa, E. O. Kiktenkoab

a 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.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation MK-2815.2017.1
The authors of the paper express their deep gratitude to Skuibin BG. For the given opportunity to perform work within the framework of the project of the student experimental physics laboratory (SELF) MSTU. N.E. Bauman. The work of K.E.O. Was supported by the grant of the President of the Russian Federation No. MK-2815.2017.1.


DOI: https://doi.org/10.23670/IRJ.2017.60.004

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Document Type: Article

Citation: A. A. Koziy, I. I. Minchenko, M. G. Komarova, E. O. Kiktenko, “Study of probable and quasi-probable distributions with the help of specialized software”, Meždunar. nauč.-issled. žurn., 2017, no. 6-3(60), 72–81

Citation in format AMSBIB
\Bibitem{KozMinKom17}
\by A.~A.~Koziy, I.~I.~Minchenko, M.~G.~Komarova, E.~O.~Kiktenko
\paper Study of probable and quasi-probable distributions with the help of specialized software
\jour Me{\v z}dunar. nau{\v{c}}.-issled. {\v z}urn.
\yr 2017
\issue 6-3(60)
\pages 72--81
\mathnet{http://mi.mathnet.ru/irj186}
\crossref{https://doi.org/10.23670/IRJ.2017.60.004}


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