Non-Invariant Ground States, Thermal Average, and generalized Fermionic Statistics

Details Non-Invariant Ground States, Thermal Average, and generalized Fermionic Statistics Non-Invariant Ground States, Thermal Average, and generalized Fermionic Statistics

1999-10-11

arxiv.org/abs/cond-mat/9910151v2

Phys. Lett. A, 263, 4 (1999) 411.

Physics

Condensed Matter

Statistical Mechanics

11 pages, accepted in Physics Letters A

Scientific paper

10.1016/S0375-9601(99)00739-2

We present an approach to generalised fermionic statistics which relates the existence of a generalised statistical behaviour to non-invariant ground states. Considering the thermal average of an operatorial generalization of the Heisenberg algebra, we get an occupation number which depends on the degree of mixing between symmetric and antisymmetric sectors of the ground state. A natural prescription is given for the construction of a supersymmetric statistics. We also show that the structure of the vacuum, and therefore the statistical behaviour of the system, can be accounted for in terms of a second order phase transition.

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