Green’s-function approach to two- and three-dimensional delta-function potentials and application to the spin-1/2 Aharonov–Bohm problem

DOI10.1063/1.531271zbMath0865.46057arXivhep-th/9405020OpenAlexW1571424762MaRDI QIDQ4873444

Dae Kil Park

Publication date: 13 May 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9405020

zbMATH Keywords

Green's functiondelta-function potentialsenergy-dependent Green's functionsselfadjoint extension parameterspin-1/2 Aharonov-Bohm systemtime-dependent propagator

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Applications of functional analysis in quantum physics (46N50)

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Cites Work

• Derivation of the time-dependent propagator for the three-dimensional Schrodinger equation with one point interaction
• Explicit time-dependent Schrodinger propagators
• Path integrals for two‐ and three‐dimensional δ‐function perturbations
• Time-dependent propagator with point interaction
• delta '-function perturbations and Neumann boundary conditions by path integration