Skip to main content
SpringerLink
Log in

Application of quasi-classical methods in a study of the Belavkin quantum filtration

  • Brief Communications
  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. V. P. Belavkin, “A new wave equation for a continuous nondemolition measurement,” Phys. Lett. A.,140, 355–358 (1989).

    Google Scholar 

  2. V. P. Belavkin, “A reconstruction theorem for a quantum stochastic process,” Teor. Mat. Fiz.,62, No. 2, 409–431 (1985).

    Google Scholar 

  3. R. L. Hudson and K. R. Partasarathy, “Quantum Itô's formula and stochastic evolution,” Comm. Math. Phys.,93, 301–323 (1984).

    Google Scholar 

  4. A. S. Kholevo, “Quantum stochastic calculus,” in: Progress in Science and Technology. Contemporary Problems in Mathematics [in Russian], VINITI, Akad. Nauk SSSR,36, 3–28 (1989).

  5. A. V. Skorokhod, “Operator stochastic differentiable equations and stochastic semigroups,” Usp. Mat. Nauk,37, 157–183 (1982).

    Google Scholar 

  6. V. P. Maslov, Perturbation Theory and Asymptotic Methods, Moscow State Unviersity, Moscow (1967).

    Google Scholar 

  7. V. P. Maslov, Operational Methods, Mir, Moscow (1974).

    Google Scholar 

  8. V. P. Maslov, “Global exponential asymptotics of solutions of tunnel equations and large deviation problems,” Tr. Mat. Inst. Steklov, Akad. Nauk SSSR,163, 150–180 (1984).

    Google Scholar 

  9. S. Yu. Dobrokhotov, V. N. Kolokol'tsov and V. P. Maslov, “Splitting of lower energetic levels of the Schrödinger equation and the asymptotics of the fundamental solution of the equation h (∂u/∂t)=(h2Δ/2−V (x)) u, ” Teor. Mat. Fiz.,87, No. 3, 323–375 (1991).

    Google Scholar 

  10. V. P. Belavkin and V. N. Kolokol'tsov, “A quasi-classical asymptotic of quantum stochastic equations,” Teor. Mat. Fiz.,89, No. 2 (1991).

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Electrical Engineering, USSR

    V. N. Kolokol'tsov

Authors
  1. V. N. Kolokol'tsov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 50, No. 5, pp. 153–156, November, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kolokol'tsov, V.N. Application of quasi-classical methods in a study of the Belavkin quantum filtration. Mathematical Notes of the Academy of Sciences of the USSR 50, 1204–1206 (1991). https://doi.org/10.1007/BF01157713

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01157713

Keywords

Search

Navigation