Two classes of exactly solvable quantum models with moving boundaries

DOI10.1088/0305-4470/25/11/040zbMath0761.35088OpenAlexW2035326618MaRDI QIDQ4022387

Adam J. Makowski

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/11/040

zbMATH Keywords

Dirichlet boundary conditionsnon-stationary Schrödinger equation

Mathematics Subject Classification ID

Model quantum field theories (81T10) PDEs in connection with quantum mechanics (35Q40) Free boundary problems for PDEs (35R35)

Related Items (9)

A quantum particle in a moving finite harmonic potential ⋮ Quantum dynamics in a time-dependent cylindrical trap ⋮ A class of exactly solvable Schrödinger equation with moving boundary condition ⋮ On the solution of the Schrödinger equation with time dependent boundary conditions ⋮ Fundamental equations of quantum mechanics in time-varying domain ⋮ The quantum square well with moving boundaries: a numerical analysis ⋮ Exact evolving states for a class of generalized time-dependent quantum harmonic oscillators with a moving boundary ⋮ Quantum particle in a box with moving walls ⋮ Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential

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