Fundamental equations of quantum mechanics in time-varying domain

DOI10.1007/s10773-007-9510-3zbMath1140.81359OpenAlexW1975368323MaRDI QIDQ930157

Lakhdar Gaffour

Publication date: 23 June 2008

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-007-9510-3

zbMATH Keywords

Quantum mechanicsWave equationWave functionTime-varying boundary value problemsTime-varying domains

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

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• An example of pure stability for the wave equation with moving boundary
• On the solution of the Schrödinger equation with time dependent boundary conditions
• On the solution of the wave equation with moving boundaries
• Schrödinger equation with time-dependent boundary conditions
• Two classes of exactly solvable quantum models with moving boundaries
• Newtonian trajectories and quantum waves in expanding force fields