Abstract
The influence of intense electromagnetic fields on the formation and decay of quasistationary states of different quantum systems is investigated based on exact solutions of quantum equations for charged particle motion. The method allows examining systems where a spontaneous decay may occur as well as phenomena that occur only under the action of the field. Different values of the total magnetic moment of the system are taken into account in this consideration. A consistent use of the analytic continuation method allows obtaining nonlinear equations that determine complex energies in an external field. The asymptotic expansions for real and imaginary energy values under the action of weak and strong electromagnetic fields are investigated. The developed approach allows establishing the characteristic values for the length parameters that determine the formation of the processes in superstrong fields. We note that a significant decrease of distances in strong fields may lead to effects with a new characteristic length scale, characterizing a modified quantum electrodynamics (QED) formalism, namely, the “QED with the fundamental mass” formalism.
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REFERENCES
A. Baz, Ya. Zeldovich, and A. Perelomov, Scattering, Reactions, and Decays in Nonrelativistic Quantum Mechanics [in Russian], Nauka, Moscow (1966); English transl., Israel Program for Sci. Translations, Jerusalem (1969).
V. G. Kadyshevskii and V. N. Rodionov, Theor. Math. Phys., 125, 1668 (2000).
V. G. Kadyshevskii, G. A. Kravtsova, and V. N. Rodionov, Theor. Math. Phys., 130, 234 (2002).
N. S. Krylov and V. A. Fock, Zh. Eksp. Teor. Fiz., 17, 93 (1947).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian] (4th ed.), Vol. 3, QuantumMechanics: Nonrelativistic Theory, Nauka, Moscow (1989); English transl. prev. ed., Pergamon, New York (1985). 6. L. V. Keldysh, JETP, 47, 1945 (1964).
A. I. Nikishov and V. I. Ritus, Trudy FIAN, 111, 84 (1979).
A. I. Nikishov and V. I. Ritus, Trudy FIAN, 168, 232 (1986).
I. M. Ternov, V. R. Khalilov, and V. N. Rodionov, Interaction of Charged Particles with a Strong Electromagneti Field [in Russian], Moscow State University, Moscow (1982).
N. B. Delone and V. P. Krainov, Atom in a Strong Field of Light [in Russian], Atomizdat, Moscow (1978).
L. P. Rapoport, B. A. Zon, and N. P. Manakov, Theory of Multiphoton Processes in Atoms [in Russian], Atomizdat, Moscow (1978).
V. N. Rodionov, JETP, 84, 1 (1997); 86, 11 (1998); Vestn. Mosk. Univ. Ser. Fiz. Astr., No. 2, 5 (1999).
H. M. Nussenzveig, Causality and Dispersion Relations, Acad. Press, New York (1972).
D. E. Aspnes, Phys. Rev., 147, 554 (1966).
V. N. Rodionov and A. M. Mandel', Vestn. Mosk. Univ. Ser. Fiz. Astr., No. 3, 25 (2001).
I. M. Ternov, V. N. Rodionov, and O. F. Dorofeev, Fiz. Elem. Chast. At. Yadra, 20, 51 (1989).
L. B. Okun, Leptons and Quarks [in Russian], Nauka, Moscow (1981); English transl., North-Holland, Amsterdam (1982).
N. L. Manakov, M. V. Frolov, B. Borca, and A. F. Starace, JETP, 52, 294 (2000).
N. N. Bogoliubov, B. V. Medvedev, and M. K. Polivanov, Problems of Dispersion Relations Theory [in Russian], Fizmatlit, Moscow (1958).
V. G. Kadyshevsky and V. N. Rodionov, "Electromagnetic length and fundamental mass in electrodynamics," in: Proc. Seminar "Symmetries and Integrable Systems" (A. N. Sissakian, ed.) [in Russian], Joint Inst. Nucl. Res., Dubna (1999), p. 103.
V. G. Kadyshevskii, Fiz. Elem. Chast. At. Yadra, 11, 5 (1980).
V. G. Kadyshevskii, Fiz. Elem. Chast. At. Yadra, 29, 563 (1998).
V. G. Kadyshevskii and D. V. Fursaev, Theor. Math. Phys., 83, 474 (1990).
V. N. Rodionov, G. A. Kravtsova, and A. M. Mandel', JETP Letters, 75, 363 (2002).
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Kadyshevskii, V.G., Kravtsova, G.A., Mandel', A.M. et al. Threshold Phenomena in Intense Electromagnetic Fields. Theoretical and Mathematical Physics 134, 198–211 (2003). https://doi.org/10.1023/A:1022276004037
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DOI: https://doi.org/10.1023/A:1022276004037