No Access Submitted: 15 December 1981 Accepted: 26 March 1982 Published Online: 04 June 1998
J. Math. Phys. 23, 1806 (1982);
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  • Ingrid Daubechies
  • John R. Klauder
The overcompleteness of the coherent states for the Heisenberg–Weyl group implies that many different integral kernels can be used to represent the same operator. Within such an equivalence class we construct an integral kernel to represent the quantum‐mechanical evolution operator for certain dynamical systems in the form of a path integral that involves genuine (Wiener) measures on continuous phase‐space paths. To achieve this goal it is necessary to employ an expression for the classical action different from the usual one.
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  1. © 1982 American Institute of Physics.