1994/05/04 by D. K. Park · 2 citations
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #hep-th
paper · pdf · doi:10.1063/1.531271
published as J. Math. Phys. 36 1995 5453 · 21 pages Latex
arxiv created 1994/05/04 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Delta-function potentials in two- and three-dimensional quantum mechanics are analyzed by the incorporation of the self-adjoint extension method to the path integral formalism. The energy-dependent Green functions for free particle plus delta-function potential systems are explicitly calculated. Also the energy-dependent Green function for the spin-1/2 Aharonov-Bohm problem is evaluated. It is found that the only one special value of the self-adjoint extension parameter gives a well-defined and non-trivial time-dependent propagator. This special value corresponds to the viewpoint of the spin-1/2 Aharonov-Bohm problem when the delta-function is treated as a limit of the infinitesimal radius.