Publications [#287127] of Ingrid Daubechies

Papers Published

1. Daubechies, I; Klauder, JR; Paul, T, Wiener measures for path integrals with affine kinematic variables, Journal of Mathematical Physics, vol. 28 no. 1 (January, 1987), pp. 85-102, AIP Publishing, ISSN 0022-2488 [doi]
   (last updated on 2026/01/14)

   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. © 1987 American Institute of Physics.