On the connection between bound and scattering states of finite square-well potentials: a unified approach

DOI10.1088/1361-6404/abcc40zbMath1523.81157OpenAlexW3110164386MaRDI QIDQ6163466

Brandon Mitchell, Ian A. Morrison, Unnamed Author, Unnamed Author

Publication date: 9 June 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/abcc40

zbMATH Keywords

transmission coefficienttransfer matrices1D potentialsundergraduate quantum mechanics

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Atomic physics (81V45) (2)-body potential quantum scattering theory (81U05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Unnamed Item
• Unnamed Item
• Introduction to Classical Integrable Systems
• Quantum Integrable Systems
• Approximate approaches to the one-dimensional finite potential well
• Quantum propagation and confinement in 1D systems using the transfer-matrix method
• Principles of Optics
• Analytical solution of the finite quantum square-well problem

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