Generalized su(1,1) algebra and the construction of nonlinear coherent states for Pöschl-Teller potential
From MaRDI portal
Publication:2213224
DOI10.1016/j.physleta.2020.126603zbMath1448.81369arXiv2005.11407OpenAlexW3028630869MaRDI QIDQ2213224
Abdessamad Belfakir, Yassine Hassouni
Publication date: 30 November 2020
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11407
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Coherent states (81R30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the construction of generalized \(\mathrm{SU}(1, 1)\) coherent states
- Generalized Heisenberg algebras, SUSYQM and degeneracies: infinite well and Morse potential
- Classical motion and coherent states for Pöschl-Teller potentials
- Generalized Heisenberg algebra and algebraic method: the example of an infinite square-well potential
- The Mellin transform in quantum calculus
- Nonlinear generalization of the sl(2) algebra
- New 'coherent' states associated with non-compact groups
- Coherent states for arbitrary Lie group
- Multi-parametric deformed Heisenberg algebras: a route to complexity
- Temporally stable coherent states for infinite well and Pöschl–Teller potentials
- Squeezed coherent states and the one-dimensional Morse quantum system
- Pöschl-Teller Hamiltonian: Gazeau-Klauder type coherent states, related statistics, and geometry
- Construction of the dual family of Gazeau–Klauder coherent states via temporally stable nonlinear coherent states
- Construction of coherent states for physical algebraic systems
- Generalized deformed oscillator and nonlinear algebras
- Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential
- Coherent states for the hydrogen atom
- Generalized Heisenberg algebra and (non linear) pseudo-bosons
- Nonlinear deformations of su(2) and su(1,1) generalizing Witten's algebra
- Application of nonlinear deformation algebra to a physical system with Pöschl-Teller potential
- Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory
- Coherent states of the Pöschl–Teller potential and their revival dynamics
- Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
- Hidden symmetries in generalized su(2) algebras
- Coherent states à la Klauder-Perelomov for the Pöschl-Teller potentials
