Exact results for the Schrödinger equation with moving localized potential

DOI10.1016/j.physleta.2021.127485OpenAlexW3168510696MaRDI QIDQ2234620

Aniruddha Chakraborty, Chinmoy Samanta

Publication date: 19 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2021.127485

zbMATH Keywords

time dependent Schrödinger equationanalytical methodquantum wellsmoving potentialGalilean transformationnon-eigen state

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Reaction-diffusion system: fate of a Gaussian probability distribution on flat potential with a sink
• Quantum particle in a box with moving walls
• Some exact results for the Schrödinger wave equation with a time-dependent potential
• Schrödinger equation with time-dependent boundary conditions
• Diffusion-like solutions of the Schrodinger equation for a time-dependent potential well
• On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type

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