Exactly solvable madelung fluid and complex Burgers equations: a quantum Sturm-Liouville connection

DOI10.1007/s10910-012-0060-4zbMath1310.81079OpenAlexW1983864953MaRDI QIDQ1934317

Şirin A. Büyükaşık, Oktay K. Pashaev

Publication date: 28 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10910-012-0060-4

zbMATH Keywords

Burgers equationSturm-Liouville problemsquantum hydrodynamicsexact solvabilityMadelung fluidpole dynamicsSchroedinger equationdamped parametric harmonic oscillatortime variable parameters

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

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

Cites Work

• Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons
• Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation
• Quantum dynamics with trajectories. Introduction to quantum hydrodynamics.
• Exactly solvable quantum Sturm–Liouville problems
• The semiclassical limit of the defocusing NLS hierarchy
• K -Theory of Twisted Differential Operators
• Madelung representation of damped parametric quantum oscillator and exactly solvable Schrödinger–Burgers equations
• Lie Algebraic Solution of Linear Differential Equations
• The partial differential equation u_t + uu_x = μ_xx
• An Operator Calculus Having Applications in Quantum Electrodynamics
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