Math @ Duke

Publications [#287115] of Ingrid Daubechies
Papers Published
 Daubechies, I; Klauder, JR, Constructing measures for path integrals,
Journal of Mathematical Physics, vol. 23 no. 10
(1981),
pp. 18061822, ISSN 00222488
(last updated on 2018/02/18)
Abstract: The overcompleteness of the coherent states for the HeisenbergWeyl 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 quantummechanical evolution operator for certain dynamical systems in the form of a path integral that involves genuine (Wiener) measures on continuous phasespace paths. To achieve this goal it is necessary to employ an expression for the classical action different from the usual one. © 1982 American Institute of Physics.


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