Unitary, continuum, stationary perturbation theory for the radial Schrödinger equation

DOI10.1063/5.0023630zbMath1461.81032arXiv2008.01831OpenAlexW3139338838MaRDI QIDQ5859112

Scott E. Hoffmann

Publication date: 15 April 2021

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

Full work available at URL: https://arxiv.org/abs/2008.01831

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Green's functions for ordinary differential equations (34B27) Perturbation theories for operators and differential equations in quantum theory (81Q15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (2)-body potential quantum scattering theory (81U05)

Related Items (1)

Incorporating the Coulomb potential into a finite, unitary perturbation theory

Uses Software

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Cites Work

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• On time-dependent perturbation theory in matrix mechanics and time averaging
• Unitary transformations depending on a small parameter
• On higher Born approximations in potential scattering
• Lectures on Quantum Mechanics

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