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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 1, Pages 92–111
DOI: https://doi.org/10.4213/tmf6232 (Mi tmf6232) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Path integral in the energy representation in quantum mechanics

P. A. Putrov

Saint-Petersburg State University
Full-text PDF (640 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6232
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.
Keywords: path integral, quantum mechanics, instanton.
Received: 05.04.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 1, Pages 1041–1057
DOI: https://doi.org/10.1007/s11232-008-0097-5
Bibliographic databases:
Language: Russian
Citation: P. A. Putrov, “Path integral in the energy representation in quantum mechanics”, TMF, 156:1 (2008), 92–111; Theoret. and Math. Phys., 156:1 (2008), 1041–1057
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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