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Path integral in the energy representation in quantum mechanics

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Abstract

We consider an alternative path integral approach to quantum mechanics. We present a resolvent of a Hamiltonian (which is the Laplace transform of the evolution operator) in a form that has the meaning of “the sum over paths” but is much better defined than the usual functional integral. We investigate this representation from different standpoints and compare such an approach to quantum mechanics with the standard approaches.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    P. A. Putrov

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  1. P. A. Putrov
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Correspondence to P. A. Putrov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 156, No. 1, pp. 92–111, July, 2008.

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Putrov, P.A. Path integral in the energy representation in quantum mechanics. Theor Math Phys 156, 1041–1057 (2008). https://doi.org/10.1007/s11232-008-0097-5

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  • DOI: https://doi.org/10.1007/s11232-008-0097-5

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