BARUT–GIRARDELLO COHERENT STATES CONSTRUCTED BY Ym m(θ,φ) AND Ym+1 m(θ,φ) FOR A FREE PARTICLE ON THE SPHERE

DOI10.1142/S021773230401504XzbMath1081.81056MaRDI QIDQ4670258

Hossein Fakhri, A. Chenaghlou

Publication date: 18 April 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

spherical harmonicsLie algebrasquantum mechanicscoherent statesdynamical symmetrySpecial functionsshape invariance

Mathematics Subject Classification ID

Coherent states (81R30) Spherical harmonics (33C55)

Related Items (12)

New ladder operators for the monopole harmonics ⋮ Generalized Heisenberg algebra coherent states for nonharmonic oscillators ⋮ Generalized Heisenberg algebra coherent states for power-law potentials ⋮ Bound states of the Dirac equation with vector and scalar Eckart potentials ⋮ Barut-Girardello and Klauder-Perelomov coherent states for the Kravchuk functions ⋮ Gazeau–Klauder coherent states for trigonometric Rosen–Morse potential ⋮ REPRESENTATION OF THE HEISENBERG ALGEBRA h₄ BY THE LOWEST LANDAU LEVELS AND THEIR COHERENT STATES ⋮ Coherency of su(1,1)-Barut–Girardello type and entanglement for spherical harmonics ⋮ GENERALIZED COHERENT STATES FOR THE SPHERICAL HARMONICS $Y_{m}^{m}(\theta,\phi)$ ⋮ Barut-Girardello coherent states for the parabolic cylinder functions ⋮ Dynamical symmetry group and quantum splittings for a free particle on the group manifold AdS3 ⋮ New generalized coherent states arising from generating functions: a novel approach

Cites Work

• \(SU(2)\) and \(SU(1,1)\) algebra eigenstates: A unified analytic approach to coherent and intelligent states
• Shape invariance symmetries for quantum states of the superpotentials \(A\tanh\omega y+B/A\) and \(- A\cot\omega \theta +B\csc\omega \theta \)
• New 'coherent' states associated with non-compact groups
• Coherent states for arbitrary Lie group
• Shape invariance and laddering equations for the associated hypergeometric functions
• Quantum mechanics on a sphere and coherent states
• Coherent states on spheres

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