Exact Solution of the Sutherland Model with arbitrary symmetry

Abstract

An elementary theory is presented for solving the Sutherland model with arbitrary internal symmetry such as SU($\nu$) or a supersymmetry SU($\nu ,\mu$). The ground state wave function and all the energy levels are derived. One starts with solving a variant of the model with distinguishable particles, and then (anti)symmetrizes the solution. The theory is also applied to various lattice versions of the model. It is proved that the Gutzwiller-type wave function is not only an eigenstate of the supersymmetric \it t-J \rm model, but is indeed the ground state.

10page, revtex 3.0

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• Spin-Charge Separation at Finite Temperature in the Supersymmetric t-J Model with Long-Range Interactions
• The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model
• Collective Field Description of Spin Calogero-Sutherland Models
• Exact Charge Dynamics in the Supersymmetric t-J Model with Inverse-Square Interaction
• Elementary Excitations and Dynamical Correlation Functions of the Calogero-Sutherland Model with Internal Symmetry
• Nonlinear dynamics of spin and charge in spin-Calogero model
• Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
• Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field
• On Spin Calogero-Moser system at infinity
• A note on inverse-square exchange models
• Fractional Exclusion Statistics for the Multicomponent Sutherland Model
• Partially Solvable Anisotropic t-J Model with Long-Range Interactions
• Algebraic study on the $A_{N-1}$- and $B_N$-Calogero models with bosonic, fermionic and distinguishable particles
• Fermionic limit of the Calogero-Sutherland system
• Supersymmetric $t$-$J$ models with long-range interactions: thermodynamics and criticality
• Dynamical Properties of the 1/r^2-Type Supersymmetric t-J Model in a Magnetic Field: Manifestation of Spin-Charge Separation
• Particle Propagator of Spin Calogero-Sutherland Model
• Spinless Calogero-Sutherland model with twisted boundary condition
• Matrix elements of vertex operators and fermionic limit of spin Calogero-Sutherland system