Math @ Duke

Publications [#287127] of Ingrid Daubechies
Papers Published
 Daubechies, I; Klauder, JR; Paul, T, Wiener measures for path integrals with affine kinematic variables,
Journal of Mathematical Physics, vol. 28 no. 1
(1987),
pp. 85102, ISSN 00222488
(last updated on 2018/06/17)
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 welldefined Wiener integral, involving Wiener measure on the Lobachevsky halfplane, 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.


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