Abstract:
Group-theoretical aspects of the problem of boson pair production in a homogeneous alternating external field are discussed. It is shown that the dynamical symmetry group of this
problem is $SU(N,N) (N=2S+1$, where $S$ is the particle spin) and that the state of the system
that arises during the process of evolution from the vacuum state is a generalized coherent
state. The pair production probability is given by the square of the modulus of the matrix
element of the representation of this group.
Citation:
A. M. Perelomov, “Boson pair production in an alternating external field”, TMF, 16:3 (1973), 303–314; Theoret. and Math. Phys., 16:3 (1973), 852–860
\Bibitem{Per73}
\by A.~M.~Perelomov
\paper Boson pair production in an alternating external field
\jour TMF
\yr 1973
\vol 16
\issue 3
\pages 303--314
\mathnet{http://mi.mathnet.ru/tmf3766}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 16
\issue 3
\pages 852--860
\crossref{https://doi.org/10.1007/BF01042423}
Linking options:
https://www.mathnet.ru/eng/tmf3766
https://www.mathnet.ru/eng/tmf/v16/i3/p303
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