Inverse generators in the algebraic description of quantum confined systems: Properties and connections with nonlinear quantum deformation process and phase operators

DOI10.1063/1.4999035zbMath1377.81051OpenAlexW2773130593MaRDI QIDQ4600240

A. N. F. Aleixo, A. Baha Balantekin

Publication date: 8 January 2018

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

Full work available at URL: https://doi.org/10.1063/1.4999035

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Operator algebra methods applied to problems in quantum theory (81R15) Formal methods and deformations in algebraic geometry (14D15)

Related Items (2)

The close connection between the definition and construction of raised and decreased coherent states with the inverse generators in the algebraic description of quantum confined systems ⋮ A consistent bridge for the construction of generalized nonclassical states for confined systems through the inclusion of inverse generators in the algebraic formalism

Cites Work

• Unnamed Item
• Inverse operators and some new completeness relations in \(q\)-deformed Fock space
• Generalized coherent, squeezed and intelligent states for exactly solvable quantum systems and the analogue of the displacement and squeezing operators
• Algebraic construction of coherent states for nonlinear quantum deformed systems
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Coherent state of a nonlinear oscillator and its revival dynamics
• Normal ordering for nonlinear deformed ladder operators and the f-generalization of the Stirling and Bell numbers
• The quantum group SU_q(2) and a q-analogue of the boson operators
• New nonlinear coherent states associated with inverse bosonic andf-deformed ladder operators
• Multiparameter deformation theory for quantum confined systems
• An algebraicq-deformed form for shape-invariant systems
• Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
• Parasupersymmetric formulation of a three-level atom coupled to af-deformed two-dimensional potential system: eigenstates, spectrum and accidental degeneracies
• The Factorization Method

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