Wiener measures for path integrals with affine kinematic variables
Authors:
- 1 January 1987
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 28 (1) , 85-102
Abstract
The results obtained earlier have been generalized to show that the path integral for the affine coherent state matrix element of a unitary evolution operator exp(−iTH) can be written as a well-defined Wiener integral, involving Wiener measure on the Lobachevsky half-plane, in the limit that the diffusion constant diverges. This approach works for a wide class of Hamiltonians, including, e.g., −d2/dx2+V(x) on L2(R+), with V sufficiently singular at x=0.Keywords
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