Solutions of Helmholtz and Schrödinger equations with side condition and nonregular separation of variables

DOI10.3842/SIGMA.2012.089zbMath1291.35244arXiv1209.2019MaRDI QIDQ352404

Philip Broadbridge, Willard jun. Miller, Claudia Maria Chanu

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2019

zbMATH Keywords

Schrödinger equationHelmholtz equationnonregular separation of variables

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Block-separation of variables: a form of partial separation for natural Hamiltonians ⋮ Huygens triviality of the time-independent Schrödinger equation. Applications to atomic and high energy physics

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