Address from August 1993 on: II. Institut für Theoretische Physik, Universität Hamburg, Luzaper Chaussee 149, D-22761 Hamburg, Germany.
δ-function perturbations and boundary problems by path integration
Version of Record online: 14 MAR 2006
Copyright © 1993 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Volume 505, Issue 6, pages 557–589, 1993
How to Cite
Grosche, C. (1993), δ-function perturbations and boundary problems by path integration. Ann. Phys., 505: 557–589. doi: 10.1002/andp.19935050606
- Issue online: 14 MAR 2006
- Version of Record online: 14 MAR 2006
- Manuscript Accepted: 16 MAR 1993
- Manuscript Received: 17 FEB 1993
- Quantum mechanics;
- Path integrals;
A wide class of boundary problems in quantum mechanics is discussed by using path integrals. This includes motion in half-spaces, radial boxes, rings, and moving boundaries. As a preparation the formalism for the incorporation of δ-function perturbations is outlined, which includes the discussion of multiple δ-function perturbations, δ-function perturbations along perpendicular lines and planes, and moving δ-function perturbations. The limiting process, where the strength of the δ-function perturbations gets infinitely repulsive, has the effect of producing impenetrable walls at the locations of the δ-function perturbations, i.e. a consistent description for boundary problems with Dirichlet boundary-condition emerges. Several examples illustrate the formalism.