Fractional dimensional Fock space and Haldane ’ s exclusion statistics . q / p case
نویسنده
چکیده
The discussion of Fractional dimensional Hilbert spaces in the context of Haldane exclusion statistics is extended from the case [10] of g = 1/p for the statistical parameter to the case of rational g = q/p with q, p-coprime positive integers. The corresponding statistical mechanics for a gas of such particles is constructed. This procedure is used to define the statistical mechanics for particles with irrational g. Applications to strongly correlated systems such as the Hubbard and t − J models are discussed.
منابع مشابه
Exclusion Statistics in Conformal Field Theory and the Ucpf for Wzw Models
In this paper we further elaborate on the notion of fractional exclusion statistics, as introduced by Haldane, in two-dimensional conformal field theory, and its connection to the Universal Chiral Partition Function as defined by McCoy and collaborators. We will argue that in general, besides the pseudo-particles introduced recently by Guruswamy and Schoutens, one needs additional ‘null quasi-p...
متن کاملHaldane exclusion statistics and the charge fractionalisation in chiral bags
It is proposed that the phenomenon of charge fractionalisation of the spatially confined particle in a topological chiral bag may be interpreted as a manifestation of the exclusion statistics proposed by Haldane. The fractional exclusion statistics parameter is just the fractional baryon charge Q of the particle in this case. We also state the necessary conditions for Haldane fractional to occu...
متن کاملKinetic Approach to Fractional Exclusion Statistics
Abstract: We show that the kinetic approach to statistical mechanics permits an elegant and efficient treatment of fractional exclusion statistics. By using the exclusion-inclusion principle recently proposed [Phys. Rev. E 49, 5103 (1994)] as a generalization of the Pauli exclusion principle, which is based on a proper definition of the transition probability between two states, we derive a var...
متن کاملCombinatorial interpretation of Haldane-Wu fractional exclusion statistics.
Assuming that the maximal allowed number of identical particles in a state is an integer parameter, q, we derive the statistical weight and analyze the associated equation that defines the statistical distribution. The derived distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases q=1 and q--> infinity (n(i)/q-->1), respectively. We show that the derived statistical weig...
متن کاملO ct 1 99 9 Field - theoretic methods for systems of particles with exotic exclusion statistics
We calculate the partition function of a gas of particles obeying Haldane exclusion statistics, using a definition of a Hilbert space having a ‘fractional dimension’ and constructing appropriate coherent states. The fractional dimension is expressed though the form of the identity operator in the Hilbert space. We find that there many possible generalisations of the Pauli exclusion principle, w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1995