GraFar - Repository of the Faculty of Civil Engineering
Faculty of Civil Engineering of the University of Belgrade
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrilic)
    • Serbian (Latin)
  • Login
View Item 
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Operator method for calculating q symbols and their relation to weyl-wigner symbols and symplectic tomogram symbols

Authorized Users Only
2014
Authors
Andreev, Vladimir A.
Davidović, Ljubica D.
Davidović, Milena
Davidović, Milos D.
Man'ko, V. I.
Manko, M. A.
Article (Published version)
Metadata
Show full item record
Abstract
We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.
Keywords:
quantum mechanics / Husimi function / Wigner function / symplectic tomogram / scaling transformation
Source:
Theoretical and Mathematical Physics, 2014, 179, 2, 559-573
Publisher:
  • Maik Nauka Publishing / Springer SBM
Projects:
  • Physical Implications of Modified Spacetime (RS-171031)
  • A new approach to foundational problems of quantum mechanics related to applications in quantum technologies and interpretations of signals of various origins (RS-171028)
  • Russian Foundation for Basic Research 11-02-01269
  • Russian Foundation for Basic Research 10-02-00312
  • Russian Foundation for Basic Research 11-02-00456

DOI: 10.1007/s11232-014-0162-1

ISSN: 0040-5779

WoS: 000337055200004

Scopus: 2-s2.0-84927604217
[ Google Scholar ]
6
5
URI
http://grafar.grf.bg.ac.rs/handle/123456789/645
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
Institution
GraFar

DSpace software copyright © 2002-2015  DuraSpace
About GraFar - Repository of the Faculty of Civil Engineering | Send Feedback

OpenAIRERCUB
 

 

All of DSpaceInstitutionsAuthorsTitlesSubjectsThis institutionAuthorsTitlesSubjects

Statistics

View Usage Statistics

DSpace software copyright © 2002-2015  DuraSpace
About GraFar - Repository of the Faculty of Civil Engineering | Send Feedback

OpenAIRERCUB