Geodesic
Boson pair production in an alternating external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 303-314

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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. 
@article{TMF_1973_16_3_a2,
     author = {A. M. Perelomov},
     title = {Boson pair production in an alternating external field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {303--314},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a2/}
}
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A. M. Perelomov. Boson pair production in an alternating external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 303-314. http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a2/