Exactly solvable quantum Sturm–Liouville problems

DOI10.1063/1.3155370zbMath1298.81108OpenAlexW1963865450MaRDI QIDQ3069134

Esra Tigrak-Ulas, Şirin A. Büyükaşık, Oktay K. Pashaev

Publication date: 24 January 2011

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

Full work available at URL: https://doi.org/10.1063/1.3155370

zbMATH Keywords

quantum theoryharmonic oscillatorspolynomialsSturm-Liouville equationparametric oscillators

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

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 ⋮ Squeezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillator ⋮ Exactly solvable Hermite, Laguerre, and Jacobi type quantum parametric oscillators ⋮ Exactly solvable madelung fluid and complex Burgers equations: a quantum Sturm-Liouville connection ⋮ Madelung representation of damped parametric quantum oscillator and exactly solvable Schrödinger–Burgers equations

Cites Work

• Unnamed Item
• Unnamed Item
• Relativistic Burgers and nonlinear Schrödinger equations
• On Dissipative Systems and Related Variational Principles
• Lie Algebraic Solution of Linear Differential Equations
• Coherent and Incoherent States of the Radiation Field
• An Operator Calculus Having Applications in Quantum Electrodynamics
• The quantum damped harmonic oscillator

This page was built for publication: Exactly solvable quantum Sturm–Liouville problems