Bogolyubov transformations corresponding to symplectic transformations
type: Item
instance of: scholarly article
title: Bogolyubov transformations corresponding to symplectic transformations
zbMATH Open document ID: 1094.81506
author: I. D. Tveritinov
published in: Moscow University Mathematics Bulletin
publication date: 2004-03-21T00:00:00Z
review text: The author establishes explicit formulas for unitary Bogolyubov transforms corresponding to the symplectic transformations of a finite-dimensional symplectic space or, what is the same, formulas for projective unitary representation of a symplectic group. To this end a natural action of a symplectic group on the Schrödinger representation operators of Heisenberg algebra was used.
Mathematics Subject Classification ID: 81R05
Mathematics Subject Classification ID: 47N50
zbMATH DE Number: 2061493
zbMATH Keywords: Bogolyubov transforms
zbMATH Keywords: symplectic transformations
MaRDI profile type: Publication
Recommended article: On symplectic transformations
Recommended article: Q4841674
Recommended article: On some aspects of the Bohl transformation for Hamiltonian and symplectic systems
Recommended article: Disconjugacy and transformations for symplectic systems
Recommended article: Symplectic birational transformations of the plane
Recommended article: Symplectic structures, their Bäcklund transformations and hereditary symmetries
Recommended article: Bäcklund transformations induced by symmetries
Recommended article: Symplectic transformations of the differential geometry of
Recommended article: Integrable symplectic maps via reduction of Bäcklund transformation
Recommended article: Trigonometric transformations of symplectic difference systems
description: scientific article; zbMATH DE number 2061493