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J. Math. Phys. 28, 85 (1987); http://dx.doi.org/10.1063/1.527812 (18 pages)
Wiener measures for path integrals with affine kinematic variables
(Received 12 June 1986; accepted 3 September 1986)
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Add to FacebookThe 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.
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J. R. Klauder, “Path integrals for affine variables,” in Functional Integration Theory and Applications, edited by J. P. Antoine and E. Tirapagui (Plenum, New York, 1980), p. 101.
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