Nonlinear coherent states associated with conditionally exactly solvable problems

DOI10.1016/S0375-9601(99)00317-5zbMath0934.81016arXivquant-ph/9807081MaRDI QIDQ1966874

Pinaki Roy, Georg Junker

Publication date: 8 March 2000

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9807081

zbMATH Keywords

symmetrynonlinear algebras

Mathematics Subject Classification ID

Coherent states (81R30) Supersymmetry and quantum mechanics (81Q60)

Related Items (14)

Generalized coherent states associated with the \(C_ \lambda\)-extended oscillator. ⋮ Isospectral partners of a complex PT-invariant potential ⋮ \(\mathcal{PT}\) symmetry of a conditionally exactly solvable potential ⋮ Construction of the Barut-Girardello type of coherent states for Pöschl-Teller potential ⋮ Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry ⋮ Partial phase state as a nonlinear coherent state and some of its properties ⋮ Holstein–Primakoff realization of Higgs algebra and its q-extension ⋮ Some non-classical properties of a class of new nonlinear coherent states ⋮ Two-boson realizations of the polynomial angular momentum algebra and some applications ⋮ SU\((1,1)\) coherent states for the generalized two-mode time-dependent quadratic Hamiltonian system ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ \(q\)-deformation by intertwining with application to the singular oscillator ⋮ Generalized Susskind–Glogower coherent states ⋮ COHERENT STATE OF THE EXTENDED SCARF I POTENTIAL AND SOME OF ITS PROPERTIES

Cites Work

• Conditionally exactly solvable potentials: A supersymmetric construction method
• Conditionally exactly solvable problems and nonlinear algebras.
• New 'coherent' states associated with non-compact groups
• G-invariant polynomial extensions of Lie algebras in quantum many-body physics
• New class of conditionally exactly solvable potentials in quantum mechanics
• Recursively minimally-deformed oscillators
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