Coherent states for the quantum complex plane

DOI10.1063/1.530162zbMath0790.46059OpenAlexW1970866478MaRDI QIDQ4203207

Jakub Rembieliński, Krzysztof Kowalski

Publication date: 7 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530162

zbMATH Keywords

reproducing kernelBargmann representationBerezin integralquantum complex planeboson and fermion Fock spacecoherent states for fermionsquantum Gaussian integral

Mathematics Subject Classification ID

Coherent states (81R30) Applications of functional analysis in quantum physics (46N50) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

Harmonic analysis with respect to heat kernel measure, \(q\)-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, \(q\)-functional integrals in anyonic physics, Path integrals with generalized Grassmann variables, Quasi-classical limit in \(q\)-deformed systems, non-commutativity and the \(q\)-path integral., Basic-deformed quantum mechanics, Maths-type \(q\)-deformed coherent states for \(q>1\), QUANTUM OPTICS: GROUP AND NON-GROUP METHODS

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