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Wiener measures for path integrals with affine kinematic variables

Publication ,  Journal Article
Daubechies, I; Klauder, JR; Paul, T
Published in: Journal of Mathematical Physics
January 1, 1987

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

Published In

Journal of Mathematical Physics

DOI

ISSN

0022-2488

Publication Date

January 1, 1987

Volume

28

Issue

1

Start / End Page

85 / 102

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Daubechies, I., Klauder, J. R., & Paul, T. (1987). Wiener measures for path integrals with affine kinematic variables. Journal of Mathematical Physics, 28(1), 85–102. https://doi.org/10.1063/1.527812
Daubechies, I., J. R. Klauder, and T. Paul. “Wiener measures for path integrals with affine kinematic variables.” Journal of Mathematical Physics 28, no. 1 (January 1, 1987): 85–102. https://doi.org/10.1063/1.527812.
Daubechies I, Klauder JR, Paul T. Wiener measures for path integrals with affine kinematic variables. Journal of Mathematical Physics. 1987 Jan 1;28(1):85–102.
Daubechies, I., et al. “Wiener measures for path integrals with affine kinematic variables.” Journal of Mathematical Physics, vol. 28, no. 1, Jan. 1987, pp. 85–102. Scopus, doi:10.1063/1.527812.
Daubechies I, Klauder JR, Paul T. Wiener measures for path integrals with affine kinematic variables. Journal of Mathematical Physics. 1987 Jan 1;28(1):85–102.

Published In

Journal of Mathematical Physics

DOI

ISSN

0022-2488

Publication Date

January 1, 1987

Volume

28

Issue

1

Start / End Page

85 / 102

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences