An analogue of the unitary displacement operator for the q-oscillator

DOI10.1088/0305-4470/27/6/026zbMath0842.46054OpenAlexW1970019081MaRDI QIDQ4861955

Roger McDermott, Allan I. Solomon

Publication date: 23 January 1996

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/6/026

zbMATH Keywords

\(q\)-coherent statesquantum complex planenon-standard Hilbert spaceunitary \(q\)-analogue of the Weyl-displacement operator

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of selfadjoint operator algebras to physics (46L60) Coherent states (81R30) Applications of functional analysis in quantum physics (46N50) Nonstandard functional analysis (46S20)

Related Items (6)

Even and odd \(q\)-coherent states in a finite-dimensional basis and their squeezing properties ⋮ \(q\)-coherent states associated with the noncommutative complex plane \(\mathbb C_{q^2}\) for the Biedenharn-Macfarlane \(q\)-oscillator ⋮ Nonclassical properties of the Arik–Coon q−1-oscillator coherent states on the noncommutative complex plane ℂq ⋮ Arik–Coon q-oscillator cat states on the noncommutative complex plane ℂq−1 and their nonclassical properties ⋮ Integrable representations of the ultra-commutation relations ⋮ Maths-type \(q\)-deformed coherent states for \(q>1\)

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