Analogies between optical physics and quantum mechanics

DOI10.1088/1361-6404/AC0878zbMath1527.81045OpenAlexW3170879893MaRDI QIDQ6108093

Bárbara P. Carneiro, A. V. Andrade-Neto, Unnamed Author, J. C. Ríos

Publication date: 29 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/ac0878

zbMATH Keywords

quantum mechanicsHelmholtz's equationoptical physicspotential barrierpotential step

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Physical optics (78A10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to optics and electromagnetic theory (78-01)

Cites Work

• The classical roots of wave mechanics: Schrödinger's transformations of the optical-mechanical analogy
• Emergence of a non-Fowler-nordheim-type behavior for a general planar tunneling barrier
• From classical to quantum mechanics through optics

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