Dimensional transmutation and dimensional regularization in quantum mechanics. I: General theory

DOI10.1006/aphy.2000.6092zbMath0985.81026arXivhep-th/0003255OpenAlexW3122212435MaRDI QIDQ5938528

Huner Fanchiotti, Horacio E. Camblong, Carlos A. García Canal, Luis N. Epele

Publication date: 22 July 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0003255

zbMATH Keywords

bound-state and scatteringdelta-function potentialenergy scalescale-invariant potentialsstrong-coupling regime

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05)

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• Classical and quantum scattering on a spinning cone
• Symmetry groups and geometrical phases in quantum mechanics
• Two-dimensional electron gas in a uniform magnetic field in the presence of a -impurity
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• Aharonov-Bohm scattering of particles with spin
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• The Scattering of Slow Neutrons by Bound Protons. I. Methods of Calculation
• Singular Potentials
• Simplified Impurity Calculation

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