REGULARIZED GREEN'S FUNCTION FOR THE INVERSE SQUARE POTENTIAL

DOI10.1142/S0217732302006990zbMath1083.81545arXivhep-th/0110278OpenAlexW2075542705MaRDI QIDQ5312288

Carlos R. Ordóñez, Horacio E. Camblong

Publication date: 31 August 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0110278

zbMATH Keywords

perturbation theoryboundary conditionsrenormalizationbound statessingular potentialsanomaliesPath integrals

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40)

Related Items (7)

Classical and quantum dynamics in an inverse square potential ⋮ Spectral properties of the symmetry generators of conformal quantum mechanics: A path-integral approach ⋮ Green’s function approach in approximate controllability for nonlinear physical processes ⋮ Classical and quantum motion in an inverse square potential ⋮ The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects ⋮ PATH INTEGRAL TREATMENT OF SINGULAR PROBLEMS AND BOUND STATES ⋮ INSTABILITY IN SCALAR CHANNEL OF FERMION–ANTIFERMION SCATTERING AMPLITUDE IN MASSLESS QED₃ AND ANOMALOUS DIMENSIONS OF COMPOSITE OPERATORS

Cites Work

• Discrete States for Singular Potential Problems
• The Inverse-Cube Central Force Field in Quantum Mechanics

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