Macroscopic properties of A-statistics

Abstract

A-statistics is defined in the context of the Lie algebra sl(n+1). Some thermal properties of A-statistics are investigated under the assumption that the particles interact only via statistical interaction imposed by the Pauli principle of A-statistics. Apart from the general case, three particular examples are studied in more detail: (a) the particles have one and the same energy and chemical potential; (b) equidistant energy spectrum; (c) two species of particles with one and the same energy and chemical potential within each class. The grand partition functions and the average number of particles are among the thermodynamical quantities written down explicitly.

27 pages, 4 figures; to be published in J. Phys. A

References in corpus (1)

• Jacobson generators, Fock representations and statistics of sl(n+1)

Cited by in corpus (8)

• Jacobson generators, Fock representations and statistics of sl(n+1)
• A classification of generalized quantum statistics associated with classical Lie algebras
• Microscopic and macroscopic properties of A-superstatistics
• On classical $Z_2\times Z_2$-graded Lie algebras
• A classification of generalized quantum statistics associated with the exceptional Lie (super)algebras
• Solutions of the compatibility conditions for a Wigner quantum oscillator
• A classification of generalized quantum statistics associated with basic classical Lie superalgebras
• Jacobson generators of the quantum superalgebra $U_q[sl(n+1|m)]$ and Fock representations