Wiener measures for path integrals with affine kinematic variables

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. © 1987 American Institute of Physics.

Duke Scholars

Author Ingrid Daubechies Mathematics