New SUSYQM coherent states for Pöschl–Teller potentials: a detailed mathematical analysis

DOI10.1088/1751-8113/45/24/244028zbMath1248.81073arXiv1112.0935OpenAlexW2079376325MaRDI QIDQ2896238

Ahmed Youssef, Petr Siegl, H. Bergeron

Publication date: 13 July 2012

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

Full work available at URL: https://arxiv.org/abs/1112.0935

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30) Supersymmetry and quantum mechanics (81Q60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

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Coherent states and modified de Broglie-Bohm complex quantum trajectories ⋮ Construction of the Barut-Girardello type of coherent states for Pöschl-Teller potential ⋮ Pöschl-Teller Hamiltonian: Gazeau-Klauder type coherent states, related statistics, and geometry ⋮ Generalized Heisenberg algebra and (non linear) pseudo-bosons ⋮ Epsilon coherent states with polyanalytic coefficients for the harmonic oscillator ⋮ Are the Weyl and coherent state descriptions physically equivalent? ⋮ Coherent States Quantization and Affine Symmetry in Quantum Models of Gravitational Singularities ⋮ Ladder operators and coherent states for the Rosen–Morse system and its rational extensions

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