A physically important class of integrals expressed as a parameter derivative

DOI10.1016/J.AOP.2006.09.005zbMath1128.81008OpenAlexW2084401549MaRDI QIDQ996351

Per Olof Fröman, Staffan Yngve

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.aop.2006.09.005

zbMATH Keywords

quantum mechanicsBessel functionexpectation valuesscattering phase shiftLegendre functionjost functionde Alfaro and Regge normalization formuladifferential equation of the Sturm-Liouville typeHellmann-Feynmann formulaquantal normalization integrals

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• Phase-integral formulas for quantal matrix elements
• A variation principle for arbitrary operators
• Forces in Molecules
• Two Notes on Phase-Integral Methods

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