On the solution of the Schrödinger equation with time dependent boundary conditions

DOI10.1016/0375-9601(94)90615-7zbMath0941.81522OpenAlexW1987349309MaRDI QIDQ1964458

Zaida Parra, Rafael Almeida, Daniel A. Morales

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90615-7

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (4)

Singular potentials and moving boundaries in 3D ⋮ Fundamental equations of quantum mechanics in time-varying domain ⋮ Exact solvability of moving boundary problems ⋮ Problems on time-varying domains: formulation, dynamics, and challenges

Cites Work

• A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
• Schrödinger equation with time-dependent boundary conditions
• Symmetry of time-dependent Schrödinger equations. II. Exact solutions for the equation {∂x x+2i∂t−2g2(t)x2−2g1(t)x −2g0(t)}Ψ(x, t) = 0
• Two classes of exactly solvable quantum models with moving boundaries
• A Note on the Time-Dependent Harmonic Oscillator
• Exact Quantization Conditions. II
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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