Geodesic
Creation of fermion pairs in a~homogeneous alternating external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 1, pp. 83-96

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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 $SU(2)\times SU(2)$. 
@article{TMF_1974_19_1_a7,
     author = {A. M. Perelomov},
     title = {Creation of fermion pairs in a~homogeneous alternating external field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {83--96},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_19_1_a7/}
}
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A. M. Perelomov. Creation of fermion pairs in a~homogeneous alternating external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 1, pp. 83-96. http://geodesic.mathdoc.fr/item/TMF_1974_19_1_a7/