The quantum square well with moving boundaries: a numerical analysis

DOI10.1016/j.camwa.2009.09.011zbMath1189.81047OpenAlexW2063897037MaRDI QIDQ980296

O. Fojón, L. P. Lara, Manuel Gadella

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.09.011

zbMATH Keywords

Schrödinger equationchaotic behaviortime dependent potentialdiscretization on the space variableRunge-Kutta method of seventh order

Mathematics Subject Classification ID

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

Related Items

Study of uncertainty, average energy, and thermodynamic quantities of the time dependent quantum system ⋮ Single particle nonlocality, geometric phases and time-dependent boundary conditions ⋮ Infinite Square-Well, Trigonometric Pöschl-Teller and Other Potential Wells with a Moving Barrier ⋮ Quantum dynamics of a nucleon in the Fermi accelerator ⋮ Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential

Cites Work

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• Modified explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation
• Schrödinger equation with time-dependent boundary conditions
• Two classes of exactly solvable quantum models with moving boundaries
• Surprises in the suddenly-expanded infinite well
• On the Origin of the Cosmic Radiation