منابع مشابه
Truncated Calogero-Sutherland models
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...
متن کاملDensity-correlation functions in Calogero-Sutherland models.
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...
متن کاملA Lecture on the Calogero-sutherland Models
In these lectures, I review some recent results on the Calogero-Sutherland model and the Haldane Shatry-chain. The list of topics I cover are the following: 1) The Calogero-Sutherland Hamiltonien and fractional stastistics. The form factor of the density operator. 2) The Dunkl operators and their relations with monodromy matrices, Yangians and aane-Hecke algebras. 3) The Haldane-Shastry chain i...
متن کاملShape Invariance in the Calogero and Calogero-Sutherland Models
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...
متن کاملExact Solutions of Generalized Calogero-sutherland Models
Using a collective field method, we obtain explicit solutions of the generalized CalogeroSutherland models that are characterized by the roots of the classical groups BN and CN . Starting from the explicit wave functions for AN−1 type expressed in terms of the singular vectors of the WN algebra, we give a systematic method to construct wave functions and derive energy eigenvalues for other type...
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: Physical Review B
سال: 2017
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.95.205135