On position and momentum operators in theq-oscillator

DOI10.1088/0305-4470/38/20/011zbMath1067.81060OpenAlexW2041512276MaRDI QIDQ4681614

A. U. Klimyk

Publication date: 24 June 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/38/20/011

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of operator theory in the physical sciences (47N50) Groups and algebras in quantum theory and relations with integrable systems (81R12) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (7)

On suq(1,1)-models of quantum oscillator ⋮ Moments of \(q\)-normal and conditional \(q\)-normal distributions ⋮ Al-Salam-Chihara models of quantum oscillator ⋮ A MODEL OF QUANTUM OSCILLATOR WITH DISCRETE SPACE ⋮ The oscillator model for the Lie superalgebra $\mathfrak {sh}(2|2)$sh(2|2) and Charlier polynomials ⋮ A HOLOMORPHIC REPRESENTATION OF THE JACOBI ALGEBRA ⋮ DISCRETE COORDINATE REALIZATIONS OF THE q-OSCILLATOR WHEN q>1

This page was built for publication: On position and momentum operators in theq-oscillator