RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


TMF, 1974, Volume 19, Number 1, Pages 83–96 (Mi tmf3567)  

This article is cited in 5 scientific papers (total in 5 papers)

Creation of fermion pairs in a homogeneous alternating external field

A. M. Perelomov


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 $SU(2)\times SU(2)$.

Full text: PDF file (1458 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1974, 19:1, 368–377

Bibliographic databases:

Received: 09.02.1973

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

Citation in format AMSBIB
\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://www.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:
  • http://mi.mathnet.ru/eng/tmf3567
  • http://mi.mathnet.ru/eng/tmf/v19/i1/p83

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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  mathnet  crossref  mathscinet
    2. V. P. Karassiov, L. A. Shelepin, “Theory of Generalized coherent states of the groups $SU_n$”, Theoret. and Math. Phys., 45:1 (1980), 879–886  mathnet  crossref  mathscinet  isi
    3. V. M. Mostepanenko, “Particle creation and vacuum polarization by a nonstationary electric field”, Theoret. and Math. Phys., 45:2 (1980), 983–991  mathnet  crossref  mathscinet  isi
    4. 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  mathnet  crossref
    5. A. A. Lobashov, V. M. Mostepanenko, “Quantum effects associated with parametric generation of light and the theory of squeezed states”, Theoret. and Math. Phys., 88:3 (1991), 913–925  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:296
    Full text:108
    References:37
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021