Some exact results for the Schrödinger wave equation with a time-dependent potential

DOI10.1088/1751-8113/42/36/365212zbMath1178.81056OpenAlexW2007200572MaRDI QIDQ3650375

Joel Campbell

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1088/1751-8113/42/36/365212

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Volterra integral equations (45D05)

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Exact solution of Schrödinger equation for two state problem with time dependent coupling ⋮ Transmission through a regular vs. a superoscillating barrier ⋮ Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations ⋮ Exact results for the Schrödinger equation with moving localized potential ⋮ Propagator calculations for time dependent Dirac delta potentials and corresponding two state models ⋮ Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal ⋮ Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential

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