Skip to main content
SpringerLink
Log in

Decay of Quasi-Stationary States of Nonrelativistic Quantum Systems in an Intense Electromagnetic Field

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

Abstract

We investigate the influence of intense electromagnetic fields on the formation and decay of quasi-stationary states of different quantum systems. Nonlinear equations that determine complex energy values are obtained from the expressions for the probability of the processes in an external electromagnetic field using the analytic continuation method. We obtain asymptotic expansions describing the action of weak and strong electromagnetic fields. If the distances that determine the formation of the processes in superstrong fields decrease significantly, this may lead to effects whose characteristic length scale corresponds to the formalism of the modified QED, i.e., “QED with fundamental mass.”

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

Similar content being viewed by others

REFERENCES

  1. L. D. Landau and E. M. Lifshitz, Theoretical Physics [in Russian] (4th ed.), Vol. 3, Quantum Mechanics: Nonrelativistic Theory, Nauka, Moscow (1989); English transl. prev. ed., Pergamon, New York (1985).

    Google Scholar 

  2. V. G. Kadyshevskii and V. N. Rodionov, Theor. Math. Phys., 125, 1668 (2000).

    Google Scholar 

  3. A. I. Nikishov and V. I. Ritus, Trudy Fiz. Inst. Lebedev., 111, 84 (1979); 168, 232 (1986).

    Google Scholar 

  4. N. B. Delone and V. P. Krainov, The Atom in a Strong Light Field [in Russian], Atomizdat, Moscow (1978).

    Google Scholar 

  5. V. N. Rodionov, JETP, 186, 11 (1998).

    Google Scholar 

  6. H. M. Nussenzveig, Causality and Dispersion Relations, Acad. Press, New York (1972).

    Google Scholar 

  7. D. E. Aspnes, Phys. Rev., 147, 554 (1966).

    Google Scholar 

  8. I. M. Ternov, V. R. Khalilov, and V. N. Rodionov, Interaction of Charged Particles with a Strong Electromagnetic Field [in Russian], Moscow State Univ. Press, Moscow (1982).

    Google Scholar 

  9. A. E. Lobanov and A. R. Muratov, JETP, 60, 651 (1984).

    Google Scholar 

  10. V. G. Kadyshevskii and V. N. Rodionov, “Electromagnetic length and fundamental mass in electrodynamics [in Russian],” in: Seminar on Symmetries and Integrable Systems: Proceedings (A. N. Sissakian, ed.), Joint Institute for Nuclear Research, Dubna (1999), p. 103.

    Google Scholar 

  11. V. G. Kadyshevskii, Fiz. Elem. Chast. At. Yadra, 11, 5 (1980).

    Google Scholar 

  12. V. G. Kadyshevsky and M. D. Mateev, Phys. Lett. B, 106, 139 (1981).

    Google Scholar 

  13. V. G. Kadyshevskii, Fiz. Elem. Chast. At. Yadra, 29, 563 (1998).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    V. G. Kadyshevskii

  2. Moscow State University, Moscow, Russia

    G. A. Kravtsova

  3. Moscow State Academy of Geological Exploration, Moscow, Russia

    V. N. Rodionov

Authors
  1. V. G. Kadyshevskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. A. Kravtsova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. N. Rodionov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kadyshevskii, V.G., Kravtsova, G.A. & Rodionov, V.N. Decay of Quasi-Stationary States of Nonrelativistic Quantum Systems in an Intense Electromagnetic Field. Theoretical and Mathematical Physics 130, 234–244 (2002). https://doi.org/10.1023/A:1014291416458

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1014291416458

Keywords

Search

Navigation