Exactly solvable Hermite, Laguerre, and Jacobi type quantum parametric oscillators

DOI10.1063/1.4972293zbMath1353.81048OpenAlexW2561886951MaRDI QIDQ2951747

Şirin A. Büyükaşık, Zehra Çayiç

Publication date: 9 January 2017

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

Full work available at URL: http://hdl.handle.net/11147/6839

zbMATH Keywords

Wei-Norman Lie algebraic quantization

Mathematics Subject Classification ID

Unified quantum theories (81V22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

Exact time-evolution of a generalized two-dimensional quantum parametric oscillator in the presence of time-variable magnetic and electric fields ⋮ Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients ⋮ Quasi-coherent states for the Hermite oscillator ⋮ Squeezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillator ⋮ Semiclassical interpretation of Wei–Norman factorization for SU(1, 1) and its related integral transforms ⋮ Quadratic time dependent Hamiltonians and separation of variables ⋮ Time-evolution of squeezed coherent states of a generalized quantum parametric oscillator

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