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A linear model of intermediate statistics

A Dasnières de Veigy

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Approximate Hamiltonians for the one-dimensional (1D) Calogero and two-dimensional (2D) anyon models in a harmonic well are constructed. These Hamiltonians are exactly diagonalizable, and their spectra interpolate linearly between the Bose statistics and the Fermi statistics. In particular, in 2D, the thermodynamics is similar to that of a system obeying a generalized exclusion principle and may be viewed as a starting approximation for the thermodynamics of anyons.


PACS

05.30.Jp Boson systems

03.65.Yz Decoherence; open systems; quantum statistical methods

05.70.-a Thermodynamics

05.30.Pr Fractional statistics systems (anyons, etc.)

05.30.Fk Fermion systems and electron gas

MSC

82B30 Statistical thermodynamics (See also 80-XX)

82B10 Quantum equilibrium statistical mechanics (general)

Subjects

Quantum gases, liquids and solids

Quantum information and quantum mechanics

Statistical physics and nonlinear systems

Dates

Issue 8 (21 April 1997)

Received 2 August 1996



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