Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Theoretical and Mathematical Physics

Methods of weyl representation of the phase space and canonical transformations. II

Vladimir Budanov

Published Jul 1, 1985• 0 citations
Publisher
DOI
10.1007/bf01017032

Related papers

Methods of Weyl representation of the phase space and canonical transformations. I

Vladimir Budanov

Theoretical and Mathematical Physics•Dec 1, 1984•3 citations

Construction of a Weyl Representation from a Weak Weyl Representation of the Canonical Commutation Relation

Asao Arai, Yasumichi Matsuzawa

Letters in Mathematical Physics•Jan 15, 2008•13 citations

The Weyl correspondence in the linear canonical transform domain

Amit Kumar, Akhilesh Prasad, Pankaj Jain

The main objective of the paper is to generalize and enrich the Weyl transform by introducing the Weyl correspondence in the linear canonical transform (LCT) domain. In this paper, we propose the linear canonical-Wigner transform in harmonic analysis of phase space along with the admissible Wigner-Ville distribution (WVD) and Weyl transform in the LCT domain and discuss some useful results. Further we establish the relationship between the Wigner-Ville distribution and the Weyl transform in the LCT domain.

Filomat•Jan 1, 2023•3 citations

Complex phase space and Weyl’s commutation relations

Sergio A Albeverio, Ambar N. Sengupta

Expositiones Mathematicae•Dec 31, 2015•7 citations

The Weyl representation in classical and quantum mechanics

Alfredo M. Ozorio de Almeida

Physics Reports•Mar 1, 1998•212 citations

Analogue of the Weyl representation of algebra of canonical commutation relations in the case of nonphysical particles

Yu. S. Vernov, M. N. Mnatsakanova, S. G. Salynskii

An analogue of the Weyl representation of the algebra of canonical commutation relations is proved to exist in the anti-Fock case achieved in Krein space.

Physics of Particles and Nuclei Letters•May 1, 2012•3 citations
The main objective of the paper is to generalize and enrich the Weyl transform by introducing the Weyl correspondence in the linear canonical transform (LCT) domain. In this paper, we propose the linear canonical-Wigner transform in harmonic analysis of phase space along with the admissible Wigner-Ville distribution (WVD) and Weyl transform in the LCT domain and discuss some useful results. Further we establish the relationship between the Wigner-Ville distribution and the Weyl transform in the LCT domain.