Madelung representation of damped parametric quantum oscillator and exactly solvable Schrödinger–Burgers equations

DOI10.1063/1.3524505zbMath1314.81032OpenAlexW1980203259MaRDI QIDQ5255469

Şirin A. Büyükaşık, Oktay K. Pashaev

Publication date: 15 June 2015

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

Full work available at URL: https://doi.org/10.1063/1.3524505

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Stochastic mechanics (including stochastic electrodynamics) (81P20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Exactly solvable Hermite, Laguerre, and Jacobi type quantum parametric oscillators ⋮ Exactly solvable madelung fluid and complex Burgers equations: a quantum Sturm-Liouville connection ⋮ Recursive formulation of Madelung continuity equation leads to propagation equation

Cites Work

• Relativistic Burgers and nonlinear Schrödinger equations
• Exactly solvable quantum Sturm–Liouville problems
• Integrable hierarchies and information measures
• Delta-convergent sequences that vanish at the support of the limit Dirac delta function
• Lie Algebraic Solution of Linear Differential Equations
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
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