Quantum Mechanical Path Integrals With Wiener Measures for All Polynomial Hamiltonians

Klauder, John R.; Daubechies, Ingrid

doi:10.1103/PhysRevLett.52.1161

Quantum Mechanical Path Integrals With Wiener Measures for All Polynomial Hamiltonians

John R. Klauder
(
- Bell Labs
)
,
Ingrid Daubechies
(
- Brussels U.
)

Jan, 1984

9 pages

Published in:

Phys.Rev.Lett. 52 (1984) 1161

DOI:

10.1103/PhysRevLett.52.1161

Report number:

Print-84-0090 (BTL)

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Abstract: (APS)

We construct arbitrary matrix elements of the quantum evolution operator for a wide class of self-adjoint canonical Hamiltonians, including those which are polynomial in the Heisenberg operators, as the limit of well defined path integrals involving Wiener measure on phase space, as the diffusion constant diverges. A related construction achieves a similar result for an arbitrary spin Hamiltonian.

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