Structure of canonical variables in the theory of quantum systems with finitely and infinitely many degrees of freedom

Research output

Abstract

Representations of an associative countably generated*-algebra by unbounded operators must be analyzed not only in connection with representations of canonical variables in quantum theory but also in different questions of the theory of representations of finite-dimensional and some infinite-dimensional Lie groups (in a consideration of the corresponding Lie algebras). In all such cases our theorem on the decomposition of unbounded representations into irreducible (factor) representations can be used.

Original languageEnglish
Pages (from-to)325-331
Number of pages7
JournalTheoretical and Mathematical Physics
Volume19
Issue number1
DOIs
Publication statusPublished - 1 Apr 1974

Fingerprint

Infinite-dimensional Lie Group
Unbounded Operators
Quantum Theory
Quantum Systems
Lie Algebra
degrees of freedom
Degree of freedom
Decompose
Algebra
Theorem
algebra
quantum theory
theorems
decomposition
operators

Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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