Analytic representations based onSU(1 , 1) coherent states and their applications
From MaRDI portal
Publication:4393631
DOI10.1088/0305-4470/29/18/017zbMath0902.22016arXivquant-ph/9607022OpenAlexW3102483766MaRDI QIDQ4393631
A. Vourdas, Constantin Brif, Ady Mann
Publication date: 3 December 1998
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9607022
Applications of Lie groups to the sciences; explicit representations (22E70) Quantum optics (81V80) Coherent states (81R30)
Related Items (26)
COHERENT AND GENERALIZED INTELLIGENT STATES FOR INFINITE SQUARE WELL POTENTIAL AND NONLINEAR OSCILLATORS ⋮ Coadjoint orbits and Kähler structure: examples from coherent states ⋮ Generalized coherent and intelligent states for exact solvable quantum systems ⋮ SU (N) coherent states ⋮ Analytic representations based on su(3) coherent states and Robertson intelligent states ⋮ \(SU(2)\) and \(SU(1,1)\) algebra eigenstates: A unified analytic approach to coherent and intelligent states ⋮ SU(1,1) solution for the Dunkl–Coulomb problem in two dimensions and its coherent states ⋮ Construction of the Barut-Girardello type of coherent states for Pöschl-Teller potential ⋮ Generalized intelligent states of the \(\text{su}(N)\) algebra ⋮ Analytic representations based on \(\text{SU}(1,1)\) Lie algebra coherent states for squeezed displaced Fock states ⋮ Arik–Coon q-oscillator cat states on the noncommutative complex plane ℂq−1 and their nonclassical properties ⋮ \(SU(1,1)\) coherent states for position-dependent mass singular oscillators ⋮ Bargmann and Barut-Girardello models for the Racah algebra ⋮ \(\mathrm{SU}(1,1)\) coherent states for Dirac-Kepler-Coulomb problem in \(D+1\) dimensions with scalar and vector potentials ⋮ An uncertainty relation for the orbital angular momentum operator ⋮ Coherent states for SU(3) ⋮ Higher-order uncertainty relations ⋮ sl(2)-modules by sl(2)-coherent states ⋮ SU(1, 1) and SU(2) Perelomov number coherent states: algebraic approach for general systems ⋮ PERELOMOV AND BARUT–GIRARDELLO SU(1, 1) COHERENT STATES FOR HARMONIC OSCILLATOR IN ONE-DIMENSIONAL HALF SPACE ⋮ Holomorphic representation of coherent states of a singular oscillator and their Darboux transformation ⋮ Aspects of coherent states of nonlinear algebras ⋮ Two-photon Jaynes-Cummings model: a two-level atom interacting with the para-Bose field ⋮ Generalized phase states and dynamics of generalized coherent states ⋮ Analytic controllability of time-dependent quantum control systems ⋮ Extended Voros product in the coherent states framework
This page was built for publication: Analytic representations based onSU(1 , 1) coherent states and their applications