Abstract
The Lie superalgebraical properties of the ordinary quantum statistics are discussed. It is indicated that the algebra generated byn pairs of Fermi operator is isomorphic to the classical simple Lie algebraB n , whereasn pairs of Bose operators generate the simple Lie superalgebraB(0,n). An idea of how one can introduce new classes of creation and annihilation operators that satisfy the second quantization postulates and generate other simple Lie superalgebras is given. The statistics corresponding to the Lie algebraA n is considered in more details.
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Palev T., Thesis, Institute for Nuclear Research and Nuclear Energy, Sofia, 1976; for theA-statistics see also Preprint JINR, E 17-10550 (1977).
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Invited talk at the “Symposium on Mathematical Methods in the Theory of Elementary Particles”, Liblice castle, Czechoslovakia, June 18–23, 1978.
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Palev, T. Lie-superalgebraical approach to the second quantization. Czech J Phys 29, 91–98 (1979). https://doi.org/10.1007/BF01603809
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DOI: https://doi.org/10.1007/BF01603809