DEFORMATIONS OF QUANTUM STATISTICS

The generalization of the Haldaine statistics giving all the possible statistics according to the deformation parameter and generalizing the Pauli principle has been constructed. The interpretation of the Haldaine statistics permitted to overcome the difficulties connected with fractional dimensionality of the state space and to construct the operators for generation and annihilation of g-ones has been proposed. The generalization of the Agranovich - Toshich transformation permitting to express the operators for generation and annihilation of any rank truncated bosons through the corresponding operators of usual bosons has been constructed. The time single-partial correlators for one-dimensional cyclic XY-model at finite temperatures have been calculatedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio