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Russian Mathematical Surveys, 1992, Volume 47, Issue 1, Pages 53–116
DOI: https://doi.org/10.1070/RM1992v047n01ABEH000862
(Mi rm4471)
 

This article is cited in 18 scientific papers (total in 18 papers)

Chaotic states and stochastic integration in quantum system

V. P. Belavkin

Moscow Institute of Electronic Engineering
References:
Received: 27.05.1991
Bibliographic databases:
Document Type: Article
UDC: 519.248
Language: English
Original paper language: Russian
Citation: V. P. Belavkin, “Chaotic states and stochastic integration in quantum system”, Russian Math. Surveys, 47:1 (1992), 53–116
Citation in format AMSBIB
\Bibitem{Bel92}
\by V.~P.~Belavkin
\paper Chaotic states and stochastic integration in quantum system
\jour Russian Math. Surveys
\yr 1992
\vol 47
\issue 1
\pages 53--116
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\crossref{https://doi.org/10.1070/RM1992v047n01ABEH000862}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1171863}
\zmath{https://zbmath.org/?q=an:0821.46093}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992RuMaS..47...53B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KE77300002}
Linking options:
  • https://www.mathnet.ru/eng/rm4471
  • https://doi.org/10.1070/RM1992v047n01ABEH000862
  • https://www.mathnet.ru/eng/rm/v47/i1/p47
  • This publication is cited in the following 18 articles:
    1. A. I. Trubilko, A. M. Basharov, “Hierarchy of times of open optical quantum systems and the role of the effective Hamiltonian in the white noise approximation”, JETP Letters, 111:9 (2020), 532–538  mathnet  crossref  crossref  isi  elib
    2. A. I. Trubilko, A. M. Basharov, “Collective atomic dynamics in resonance fluorescence”, JETP Letters, 111:12 (2020), 672–678  mathnet  crossref  crossref  isi  elib
    3. A. I. Trubilko, A. M. Basharov, “Delay of superradiance as a signature of the non-Wiener dynamics of the generalized Dicke model”, JETP Letters, 109:2 (2019), 77–82  mathnet  crossref  crossref  isi  elib
    4. M. F. Brown, “A canonical dilation of the Schrödinger equation”, Russ. J. Math. Phys, 21:3 (2014), 316  crossref
    5. Basharov A.M., “Lanzhevenovskii i obobschennyi lanzhevenovskii tipy spontannogo izlucheniya kvantovykh chastits”, Optika i spektroskopiya, 112:3 (2012), 381–381  elib
    6. A. Basharov, “Stark interaction of identical particles with the vacuum electromagnetic field as quantum Poisson process suppressing collective spontaneous emission”, Phys. Rev. A, 84:1 (2011)  crossref
    7. A. M. Basharov, “Stark-interaction stabilization of the excited state of identical particles”, JETP Letters, 94:1 (2011), 27–33  mathnet  crossref  isi
    8. V. P. Belavkin, L. Gregory, “Representations of homogeneous quantum Lévy fields”, Proc Math Sci, 116:4 (2006), 477  crossref  mathscinet  zmath  isi
    9. V. P. BELAVKIN, V. N. KOLOKOL'TSOV, “STOCHASTIC EVOLUTION AS A QUASICLASSICAL LIMIT OF A BOUNDARY VALUE PROBLEM FOR Schrödinger EQUATIONS”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top, 05:01 (2002), 61  crossref
    10. V. P. Belavkin, Lecture Notes in Statistics, 128, Probability Towards 2000, 1998, 74  crossref
    11. V. P. Belavkin, Lecture Notes in Physics, 504-504, Irreversibility and Causality Semigroups and Rigged Hilbert Spaces, 1998, 82  crossref
    12. V. P. Belavkin, “On the generators of quantum stochastic evolution equations”, Theoret. and Math. Phys., 110:1 (1997), 35–46  mathnet  crossref  crossref  mathscinet  zmath  isi
    13. Philippe Biane, Lecture Notes in Mathematics, 1608, Lectures on Probability Theory, 1995, 1  crossref
    14. B. M. Garraway, P. L. Knight, Quantum Communications and Measurement, 1995, 463  crossref
    15. V. P. Belavkin, O. Melsheimer, Quantum Communications and Measurement, 1995, 201  crossref
    16. V. P. Belavkin, “Measurement and Filtering of Quantum Diffusion II”, Theory Probab Appl, 39:3 (1994), 363  mathnet  crossref  mathscinet  zmath  isi
    17. V. P. Belavkin, “Quantum Diffusion, Measurement and Filtering I”, Theory Probab Appl, 38:4 (1993), 573  mathnet  crossref  mathscinet  zmath  isi
    18. D. V. Yur'ev, “Quantum projective field theory: Quantum-field analogs of the Euler formulas”, Theoret. and Math. Phys., 92:1 (1992), 814–816  mathnet  crossref  mathscinet  isi
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