Skip to main content
SpringerLink
Log in

Properties of translationally invariant quantum-dynamical semigroups

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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. E. B. Davies, Quantum Theory of Open Systems, Academic Press, London (1976).

    Google Scholar 

  2. L. Van Hove, Physica (Utrecht),21, 617 (1955).

    Google Scholar 

  3. G. V. Pule, Commun. Math. Phys.,38, 241 (1974).

    Google Scholar 

  4. E. B. Davies, Commun. Math. Phys.,39, 91 (1974).

    Google Scholar 

  5. V. Gorini, A. Frigerio, M. Verri, A. Kossakowski, and E. C. G. Sudarshan, Rep. Math. Phys.,13, 149 (1978).

    Google Scholar 

  6. H. Spohn, Rev. Mod. Phys.,52, 569 (1980).

    Google Scholar 

  7. A. Sh. Domnenkov, Teor. Mat. Fiz.,79, 263 (1989).

    Google Scholar 

  8. D. D. Botvich and V. A. Malyshev, Commun. Math. Phys.,91, 301 (1983).

    Google Scholar 

  9. D. D. Botvich and V. A. Malyshev, Izv. Akad. Nauk SSSR, Ser. Mat.,54, 132 (1990).

    Google Scholar 

  10. A. Sh. Dommenkov and V. A. Malyshev, Dokl. Akad. Nauk SSSR,304, 326 (1989).

    Google Scholar 

  11. V. A. Malyshev, Commun. Math. Phys.,119, 501 (1988).

    Google Scholar 

  12. V. V. Aizenshtadt, D. D. Botvich, and V. A. Malyshev, in: Reviews of Science and Technology, Vol. 27, Theory of Probability, Mathematical Statistics, Theory of Cybernetics [in Russian], VINITI, Moscow (1990), pp. 3–78.

    Google Scholar 

  13. G. Lindblad, Commun. Math. Phys.,48, 119 (1976).

    Google Scholar 

  14. H. Spohn, Rep. Math. Phys.,10, 189 (1976).

    Google Scholar 

  15. H. Spohn, Lett. Math. Phys.,2, 33 (1977).

    Google Scholar 

  16. A. Frigerio, Lett. Math. Phys.,2, 79 (1977).

    Google Scholar 

  17. A. Frigerio, Commun. Math. Phys.,63, 269 (1977).

    Google Scholar 

  18. A. Frigerio and M. Verri, Math. Z.,180, 275 (1982).

    Google Scholar 

  19. O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vols. 1 and 2, New York (1979, 1981).

  20. T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin (1966).

    Google Scholar 

  21. E. Christensen and D. E. Evans, J. London Math. Soc. (2),20, 358 (1979).

    Google Scholar 

  22. M. Meed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Academic Press, New York (1972).

    Google Scholar 

  23. D. E. Evans and Hanche-Olsen, J. Func. Anal.,32, 207 (1979).

    Google Scholar 

  24. O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vol. 2, Springer (1981).

  25. A. D. Manita, in: Functional and Stochastic Analysis and Applications [in Russian] (eds. P. L. Ul'yanov and B. V. Gnedenko), Moscow State University, Moscow (1991), pp. 54–58.

    Google Scholar 

  26. D. D. Botvich, V. A. Malyshev, and A. D. Manita, Helv. Phys. Acta,64, 1072 (1991).

    Google Scholar 

  27. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 2, Academic Press, New York (1975).

    Google Scholar 

Download references

Authors
  1. A. D. Manita
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 89, No. 3, pp. 366–379, December, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Manita, A.D. Properties of translationally invariant quantum-dynamical semigroups. Theor Math Phys 89, 1271–1281 (1991). https://doi.org/10.1007/BF01017821

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017821

Search

Navigation