Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-05-04
J. Math. Phys. 36 1995 5453
Physics
High Energy Physics
High Energy Physics - Theory
21 pages Latex
Scientific paper
10.1063/1.531271
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.
No associations
LandOfFree
Path integral treatment of two- and three-dimensional delta-function potentials and application to spin-1/2 Aharonov-Bohm problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Path integral treatment of two- and three-dimensional delta-function potentials and application to spin-1/2 Aharonov-Bohm problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path integral treatment of two- and three-dimensional delta-function potentials and application to spin-1/2 Aharonov-Bohm problem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389222