Pöschl-Teller Hamiltonian: Gazeau-Klauder type coherent states, related statistics and geometry
arXiv:1309.6181 · doi:10.1063/1.4902932
Abstract
This work mainly addresses a construction of Gazeau-Klauder type coherent states for a Pöschl-Teller model. Relevant characteristics are investigated. Induced geometry and statistics are studied. Then the Berezin - Klauder - Toeplitz quantization of the classical phase space observables is presented.
arXiv commentarXiv admin note: text overlap with arXiv:1212.0244
References in corpus (25)
- Temporally stable coherent states for infinite well and Pöschl-Teller potentials
- Self-isospectrality, special supersymmetry, and their effect on the band structure
- Higher-order supersymmetric quantum mechanics
- Hidden supersymmetry in quantum bosonic systems
- New hydrogen-like potentials
- Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system
- Coherent states for Hamiltonians generated by supersymmetry
- Integral quantizations with two basic examples
- Spectral singularities in PT-symmetric periodic finite-gap systems
- Coherent states à la Klauder-Perelomov for the Pöschl-Teller potentials
- Finite-gap systems, tri-supersymmetry and self-isospectrality
- Extended SUSY quantum mechanics, intertwining operators and coherent states
- Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems
- Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
- Bohmian quantum trajectories from coherent states
- The factorization of the hypergeometric equation
- Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
- Generalized Intelligent States for an Arbitrary Quantum System
- Generalized coherent and intelligent states for exact solvable quantum systems
- New SUSYQM coherent states for Poschl-Teller potentials: a detailed mathematical analysis
- Self-isospectral tri-supersymmetry in PT-symmetric quantum systems with pure imaginary periodicity
- Pisot q-Coherent states quantization of the harmonic oscillator
- Extended supersymmetry of the self-isospectral crystalline and soliton chains
- Fermion in a multi-kink-antikink soliton background, and exotic supersymmetry
- Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics