FRACTIONAL STATISTICS IN SOME EXACTLY SOLVABLE MODELS WITH PT INVARIANT INTERACTIONS

DOI10.1142/S0217979202011585zbMath1073.81663arXivcond-mat/0201074OpenAlexW1988967790MaRDI QIDQ5312043

Bireswar Basu-Mallick

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0201074

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (3)

PSEUDO-HERMITIAN INTERACTION BETWEEN AN OSCILLATOR AND A SPIN-1/2 PARTICLE IN THE EXTERNAL MAGNETIC FIELD ⋮ PSEUDO-HERMITIAN INTERACTIONS IN DIRAC THEORY: EXAMPLES ⋮ PHASE SHIFT ANALYSIS OF PT-SYMMETRIC NONHERMITIAN EXTENSION OF A_N-1 CALOGERO MODEL WITHOUT CONFINING INTERACTION

Cites Work

• The Calogero-Sutherland model and polynomials with prescribed symmetry
• A PT-invariant potential with complex QES eigenvalues
• A family of complex potentials with real spectrum
• Fock Spaces for the Calogero Models with Distinguishable Particles
• A Simple Derivation of Multivariable Hermite and Legendre Polynomials
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• Thermodynamics of a One-Dimensional Ideal Gas with Fractional Exclusion Statistics
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• On an exactly solvable \(B_N\) type Calogero model with non-Hermitian PT invariant interaction

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