Critical Properties of Quantum Many-Body Systems with 1/r2 Interaction | Zendy

N. Kawakami | Zendy

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Critical Properties of Quantum Many-Body Systems with 1/r2 Interaction

Author(s) -

N. Kawakami

Publication year - 1994

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp/91.2.189

Subject(s) - physics , bethe ansatz , harmonic oscillator , mathematical physics , conformal field theory , quantum mechanics , boson , quantum , spin (aerodynamics) , conformal map , quantum field theory , theoretical physics , quantum electrodynamics , mathematical analysis , mathematics , thermodynamics

We review recent results obtained for a class of one-dimensional quantummodels with $1/r^2$ long-range interaction. Based on the asymptoticBethe-ansatz solution and conformal field theory, we study critical propertiesof the continuum boson model, the SU($\nu$) spin chain, the OSp($\nu$,1)supersymmetric {\it t-J} model, and a new hierarchy of models related to thefractional quantum Hall effect. We further investigate the class of $1/r^2$models with harmonic confinement by means of a newly proposed method of therenormalized-harmonic oscillator solution.Comment: 46pages, Revte

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