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Matematicheskie Zametki, 1978, Volume 24, Issue 5, Pages 699–706 (Mi mzm8255)  
This article is cited in 7 scientific papers (total in 7 papers)

Representation of solution of the Schrödinger equation in the form of mathematical expectation of a functional of a transition process

A. M. Chebotarev

Moscow Electronic Machine Construction Institute
Full-text PDF (527 kB) Citations (7)
Received: 25.01.1977
English version:
Mathematical Notes, 1978, Volume 24, Issue 5, Pages 873–877
DOI: https://doi.org/10.1007/BF01141547
Bibliographic databases:
UDC: 517.948
Language: Russian
Citation: A. M. Chebotarev, “Representation of solution of the Schrödinger equation in the form of mathematical expectation of a functional of a transition process”, Mat. Zametki, 24:5 (1978), 699–706; Math. Notes, 24:5 (1978), 873–877
Citation in format AMSBIB
\Bibitem{Che78}
\by A.~M.~Chebotarev
\paper Representation of solution of the Schrödinger equation in the form of mathematical expectation of a~functional of a~transition process
\jour Mat. Zametki
\yr 1978
\vol 24
\issue 5
\pages 699--706
\mathnet{http://mi.mathnet.ru/mzm8255}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=517430}
\zmath{https://zbmath.org/?q=an:0402.60062}
\transl
\jour Math. Notes
\yr 1978
\vol 24
\issue 5
\pages 873--877
\crossref{https://doi.org/10.1007/BF01141547}
Linking options:
  • https://www.mathnet.ru/eng/mzm8255
  • https://www.mathnet.ru/eng/mzm/v24/i5/p699
    • This publication is cited in the following 7 articles:
    1. Faddeev M.M. Ibragimov I.A. Smorodina N.V., “a Stochastic Interpretation of the Cauchy Problem Solution For the Equation Partial Derivative(T)U = (SIGMA(2)/2)Delta U Plus V(X)U With Complex SIGMA”, Markov Process. Relat. Fields, 22:2 (2016), 203–226  mathscinet  zmath  isi
    2. Ibragimov I.A. Smorodina N.V. Faddeev M.M., “Limit Theorems For Symmetric Random Walks and Probabilistic Approximation of the Cauchy Problem Solution For Schrodinger Type Evolution Equations”, Stoch. Process. Their Appl., 125:12 (2015), 4455–4472  crossref  isi
    3. I. A. Ibragimov, N. V. Smorodina, M. M. Faddeev, “Limit theorems on convergence of expectations of functionals of sums of independent random variables to solutions of initial boundary value problems”, Theory Probab. Appl., 59:2 (2015), 244–259  mathnet  crossref  crossref  isi  elib  elib
    4. I. A. Ibragimov, N. V. Smorodina, M. M. Faddeev, “On a probabilistic method of solving a one-dimensional initial-boundary value problem”, Theory Probab. Appl., 58:2 (2014), 242–263  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    5. A. M. Chebotarev, A. V. Polyakov, “Deviation Estimates for Random Walks and Stochastic Methods for Solving the Schrödinger Equation”, Math. Notes, 76:4 (2004), 564–577  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. A. V. Polyakov, A. M. Chebotarëv, “Monte-Carlo method for the Schrödinger equation with a periodic asymmetric potential”, Comput. Math. Math. Phys., 44:10 (2004), 1807–1817  mathnet  mathscinet  zmath  elib
    7. A. A. Konstantinov, V. P. Maslov, A. M. Chebotarev, “Probability representations of solutions of the Cauchy problem for quantum mechanical equations”, Russian Math. Surveys, 45:6 (1990), 1–26  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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