LIE SUPERALGEBRAICAL APPROACH TO THE SECOND QUANTIZATION. (TALK)
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Abstract: (Springer)
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 algebraBn, 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 algebraAn is considered in more details.- FIELD THEORY: STATISTICAL
- ALGEBRA: LIE
- FERMION: QUANTIZATION
- BOSON: QUANTIZATION
- FERMION: STATISTICS
- BOSON: STATISTICS
- FIELD THEORY: COMMUTATION RELATIONS
- parastatistics
- ALGEBRA: SUPERSYMMETRY
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