Abstract:
Group-theoretical aspects of the problem of fermion pair creation in a homogeneous alternating external field are considered. It is shown that the dynamical symmetry group of this problem is SU(2N) (N=2s+1, where s is the particle spin) and that the state of the system that arises during evolution is a generalized coherent state associated with this group. The probability of pair creation is given by the square of the modulus of the matrix element of a definite representation of SU(2N). For particles of spin 1/2 in certain cases the symmetry
group reduces to SU(2)×SU(2).
Citation:
A. M. Perelomov, “Creation of fermion pairs in a homogeneous alternating external field”, TMF, 19:1 (1974), 83–96; Theoret. and Math. Phys., 19:1 (1974), 368–377
\Bibitem{Per74}
\by A.~M.~Perelomov
\paper Creation of fermion pairs in a~homogeneous alternating external field
\jour TMF
\yr 1974
\vol 19
\issue 1
\pages 83--96
\mathnet{http://mi.mathnet.ru/tmf3567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468752}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 19
\issue 1
\pages 368--377
\crossref{https://doi.org/10.1007/BF01037193}
Linking options:
https://www.mathnet.ru/eng/tmf3567
https://www.mathnet.ru/eng/tmf/v19/i1/p83
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Yuval Kluger, Emil Mottola, Judah M. Eisenberg, “Quantum Vlasov equation and its Markov limit”, Phys. Rev. D, 58:12 (1998)
J. E. Seger, A. B. Balantekin, “Fermion pair production from an electric field varying in two dimensions”, Journal of Mathematical Physics, 37:1 (1996), 219
J. Rau, B. Müller, “From reversible quantum microdynamics to irreversible quantum transport”, Physics Reports, 272:1 (1996), 1
A. A. Lobashev, V. M. Mostepanenko, “Quantum effects in nonlinear insulating materials in the presence of a nonstationary electromagnetic field”, Theoret. and Math. Phys., 86:3 (1991), 303–309
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E. S. Fradkin, D. M. Gitman, Sh. M. Shvartsman, Springer Series in Nuclear and Particle Physics, Quantum Electrodynamics, 1991, 107
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Hiroshi Kuratsuji, “Semiclassical asymptotics for fermion systems based on the coherent-state path integral”, Physics Letters A, 108:3 (1985), 139
A. I. Nikishov, “Problems of intense external-field intensity in quantum electrodynamics”, J Russ Laser Res, 6:6 (1985), 619
Lawrence R. Mead, N. Papanicolaou, “Holstein-Primakoff theory for many-body systems”, Phys. Rev. B, 28:3 (1983), 1633
N Papanicolaou, “Pseudo-spin and classical correspondence for Fermi fields”, Annals of Physics, 136:1 (1981), 210
V. P. Karassiov, L. A. Shelepin, “Theory of Generalized coherent states of the groups SUn”, Theoret. and Math. Phys., 45:1 (1980), 879–886
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A. A. Grib, V. M. Mostepanenko, V. M. Frolov, “Creation and scattering of particles by a nonstationary electromagnetic field in the canonical formalism”, Theoret. and Math. Phys., 26:2 (1976), 148–155
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