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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 75, Number 3, Pages 403–415 (Mi tmf4953)  
This article is cited in 11 scientific papers (total in 11 papers)

Path reparametrization in a path integral on a finite-dimensional manifold

S. N. Storchak
Full-text PDF (1237 kB) Citations (11)
References:
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Abstract: The methods of the theory of random processes are used to consider path reparametrization in a path integral with imaginary time. It is shown that the measure is noninvariant, and the reparametrization Jacobian (14) is obtained.
Received: 21.07.1986
Revised: 09.07.1987
English version:
Theoretical and Mathematical Physics, 1988, Volume 75, Issue 3, Pages 610–618
DOI: https://doi.org/10.1007/BF01036262
Bibliographic databases:
Language: Russian
Citation: S. N. Storchak, “Path reparametrization in a path integral on a finite-dimensional manifold”, TMF, 75:3 (1988), 403–415; Theoret. and Math. Phys., 75:3 (1988), 610–618
Citation in format AMSBIB
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\yr 1988
\vol 75
\issue 3
\pages 610--618
\crossref{https://doi.org/10.1007/BF01036262}
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Linking options:
  • https://www.mathnet.ru/eng/tmf4953
  • https://www.mathnet.ru/eng/tmf/v75/i3/p403
    • This publication is cited in the following 11 articles:
    1. S N Storchak, “Dependent coordinates in path integral measure factorization”, J. Phys. A: Math. Gen., 37:27 (2004), 7019  crossref
    2. S N Storchak, “Path integrals on a manifold with group action”, J. Phys. A: Math. Gen., 34:43 (2001), 9329  crossref
    3. Grosche, C, “Handbook of Feynman path integrals - Introduction”, Handbook of Feynman Path Integrals, 145 (1998), 1  crossref  isi
    4. S. N. Storchak, “Nonstationary generalized Duru–Kleinert transformation of path integrals for systems of differential equations in the one-dimensional space”, Theoret. and Math. Phys., 109:1 (1996), 1260–1268  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. Christian Grosche, “Conditionally solvable path integral problems: II. Natanzon potentials”, J. Phys. A: Math. Gen., 29:2 (1996), 365  crossref
    6. C. Grosche, G. S. Pogosyan, A. N. Sissakian, “Path Integral Discussion for Smorodinsky-Winternitz Potentials: II. The Two- and Three-Dimensional Sphere”, Fortschr. Phys., 43:6 (1995), 523  crossref
    7. C Grosche, “Conditionally solvable path integral problems”, J. Phys. A: Math. Gen., 28:20 (1995), 5889  crossref
    8. S. N. Storchak, “Path reparametrization in functional integrals on vector bundles”, Theoret. and Math. Phys., 101:3 (1994), 1422–1429  mathnet  crossref  mathscinet  zmath  isi
    9. S.N. Storchak, “Path integrals on warped product manifolds”, Physics Letters A, 174:1-2 (1993), 13  crossref
    10. S. N. Storchak, “Homogeneous point transformation and reparametrization of paths in path integrals for fourth-order differential equations”, Theoret. and Math. Phys., 93:1 (1992), 1091–1100  mathnet  crossref  mathscinet  zmath  isi
    11. S. N. Storchak, “Remark on quantization of the hydrogen atom by the path-integral method”, Theoret. and Math. Phys., 82:1 (1990), 32–37  mathnet  crossref  mathscinet  isi
    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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    References:59
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