Calogero-Sutherland type models in higher dimensions
نویسندگان
چکیده
منابع مشابه
N Fermion Ground State of Calogero-Sutherland type Models in Two and Higher Dimensions
I obtain the exact ground state of N-fermions in D-dimensions (D ≥ 2) in case the N particles are interacting via long-ranged two-body and three-body interactions and further they are also interacting via the harmonic oscillator potential. I also obtain the N-fermion ground state in case the oscillator potential is replaced by an N-body Coulomb-like interaction.
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A one-dimensional quantum many-body system consisting of particles confined in a harmonic potential and subject to finite-range two-body and three-body inverse-square interactions is introduced. The range of the interactions is set by truncation beyond a number of neighbors and can be tuned to interpolate between the Calogero-Sutherland model and a system with interactions among nearest and nex...
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Using arguments from two dimensional Yang-Mills theory and the collective coordinate formulation of the Calogero-Sutherland model, we conjecture the dynamical density correlation function for coupling l and 1/l, where l is an integer. We present overwhelming evidence that the conjecture is indeed correct. Submitted to Physical Review B, PACS numbers: 03.65.Ca, 05.30.Fk, 03.65.Fd ⋆ minahan@physi...
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We show that the Calogero and Calogero-Sutherland models possess an N -body generalization of shape invariance. We obtain the operator representation that gives rise to this result, and discuss the implications of this result, including the possibility of solving these models using algebraic methods based on this shape invariance. Our representation gives us a natural way to construct supersymm...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1997
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(97)00162-x