Generalized coherent states for a relativistic model of the linear oscillator in a homogeneous external field

DOI10.1016/0034-4877(89)90014-1zbMath0732.34066OpenAlexW2054281468MaRDI QIDQ809263

Kurt Bernardo Wolf, Natig M. Atakishiyev

Publication date: 1989

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(89)90014-1

zbMATH Keywords

linear oscillatorrelativistic quasipotential modelSU(1,1) coherent statesSU(1,1) unitary operatorwave functions of the discrete spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Equations of motion in general relativity and gravitational theory (83C10) Free motions in linear vibration theory (70J30)

Related Items

Coherency of su(1,1)-Barut–Girardello type and entanglement for spherical harmonics ⋮ Newton-equivalent Hamiltonians for the harmonic oscillator ⋮ Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group ⋮ New generalized coherent states arising from generating functions: a novel approach

Cites Work

• Group theory approach to scattering
• Group theory approach to scattering. III: Realistic models
• Coherent states for arbitrary Lie group
• Irreducible unitary representations of the Lorentz group
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential
• The unitary irreducible representations of SL(2, R) in all subgroup reductions
• Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory
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