O. G. Smolyanov, A. Trumen, “Change of variable formulas for Feynman pseudomeasures”, TMF, 119:3 (1999), 355–367; Theoret. and Math. Phys., 119:3 (1999), 677

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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 3, Pages 355–367
DOI: https://doi.org/10.4213/tmf744 (Mi tmf744)

This article is cited in 5 scientific papers (total in 5 papers)

Change of variable formulas for Feynman pseudomeasures

O. G. Smolyanov^a, A. Trumen^b

^a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b University of Wales Swansea

Full-text PDF (267 kB) Citations (5)

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DOI: https://doi.org/10.4213/tmf744

Abstract: We derive formulas describing the transformations of Feynman pseudomeasures generated by nonlinear permutations of the phase space. In particular, we obtain analogues of the Ramer formula for the Gauss measures and of the change of variable formula proved by Elworthy and Truman.

Received: 05.06.1998
Revised: 18.02.1999

English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 3, Pages 677–686
DOI: https://doi.org/10.1007/BF02557378

Bibliographic databases:

Language: Russian

Citation: O. G. Smolyanov, A. Trumen, “Change of variable formulas for Feynman pseudomeasures”, TMF, 119:3 (1999), 355–367; Theoret. and Math. Phys., 119:3 (1999), 677–686

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf744

https://doi.org/10.4213/tmf744

https://www.mathnet.ru/eng/tmf/v119/i3/p355

This publication is cited in the following 5 articles:

Garsia-Naranjo L.C., Montaldi J., Smolyanov O.G., “Transformations of Feynman path integrals and generalized densities of Feynman pseudomeasures”, Dokl. Math., 93:3 (2016), 282–285
Gough J., Ratiu T.S., Smolyanov O.G., “Quantum Anomalies and Logarithmic Derivatives of Feynman Pseudomeasures”, Dokl. Math., 92:3 (2015), 764–768
Montaldi J., Smolyanov O.G., “Transformations of Measures Via Their Generalized Densities”, Russ. J. Math. Phys., 21:3 (2014), 379–385
Smolyanov, OG, “Hamiltonian Feynman path integrals via the Chernoff formula”, Journal of Mathematical Physics, 43:10 (2002), 5161
Smolyanov, OG, “Change-of-variable formulas in Feynman path integrals on compact Riemannian manifolds”, Doklady Mathematics, 64:2 (2001), 147

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	274
References:	62
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