Abstract
A free nonrelativistic particle moving in a one-dimensional box can be described by any of a four-parameter family of self-adjoint Hamiltonians each of which guarantees that probability does not leave the box. Included are cases where the particle striking one wall may reappear at the other. We construct a four-parameter family of Brownian functional integrals which include paths that jump from wall to wall. Their analytic continuation in time results in the same quantum Green's functions as those which arise directly from the Hamiltonians.
- Received 27 April 1990
DOI:https://doi.org/10.1103/PhysRevD.42.1194
©1990 American Physical Society
