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ВИДЕОТЕКА |
Международная конференция по математической физике,
посвященная столетию со дня рождения В. С. Владимирова
(Владимиров-100)
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Ternary Z3-graded Generalization of Heisenberg's Algebra R. Kerner Université Pierre & Marie Curie, Paris VI |
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Аннотация: Many Z2-graded algebraic structures can be generalized to the case of Z3-grading. Several such structures are presented: the Grassmann algenra, algebra of exterior forms, lie algebras. In the latter, the antisymmetric binary product is replaced by ternary Z3-skew symmetric product. Ternary Heisenberg algebra is then introduced and its Bogolyubov symmetry group established. The second quantization of this structure is introduces, and the sixth-order Hamiltonian defined, along with its eigenstates. The Bohr-Sommerfeld quantization is applied to the stationary periodic solutions and the eigenvalues of energy are computed. Язык доклада: английский |