Critical properties of the Calogero - Sutherland model with boundaries
نویسندگان
چکیده
منابع مشابه
Some Properties of the Calogero-Sutherland Model with Reflections
We prove that the Calogero-Sutherland Model with reflections (the BCN model) possesses a property of duality relating the eigenfunctions of two Hamiltonians with different coupling constants. We obtain a generating function for their polynomial eigenfunctions, the generalized Jacobi polynomials. The symmetry of the wave-functions for certain particular cases (associated to the root systems of t...
متن کاملA Multispecies Calogero-sutherland Model
Motivated by the concept of ideal mutual statistics, we study a multispecies Calogero-Sutherland model in which the interaction parameters and masses satisfy some specific relations. The ground state is exactly solvable if those relations hold, both on a circle and on a line with a simple harmonic potential. In the latter case, the one-particle densities can be obtained using a generalization o...
متن کاملQuantum Solitons in the Calogero-Sutherland Model
We show that the single quasi-particle Schrödinger equation for a certain form of one-body potential yields a stationary one soliton solution. The one-body potential is assumed to arise from the self-interacting charge distribution with the singular kernel of the Calogero-Sutherland model. The quasi-particle has negative or positive charge for negative or positive coupling constant of the inter...
متن کاملParticle Propagator of Spin Calogero-Sutherland Model
We obtained the particle propagator for spin 1/2 Calogero-Sutherland model for the finite system and in thermodynamic limit by Uglov’s method, the details of which are explained in the previous paper about the hole propagator of this model. Corresponding spectral functions in a full energy-momentum space are calculated numerically and the positions of the divergences of intensity are determined...
متن کاملThe Spinless Calogero-Sutherland model with twisted boundary condition
In this work, the Calogero-Sutherland model with twisted boundary condition is studied. The ground state wavefunctions, the ground state energies, the full energy spectrum are provided in details.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1996
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/29/2/012