The Quantum Hydrodynamics of the Sutherland Model

Abstract

We show that the form of the chiral condition found by Abanov et al., in the quantum hydrodyamics of the Sutherland model arises because there are two distinct inner products with respect to which the chiral Hamitonian hermitian, but only one with respect to which the full, non-chiral, Hamiltonian is hermitian.

23 pages, revtex4, typos corrected, 1 reference added

References in corpus (11)

• Quantum Hall states as matrix Chern-Simons theory
• Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra
• Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model
• Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
• Quantum Hall Physics = Noncommutative Field Theory
• Waves and Solitons in the Continuum Limit of the Calogero-Sutherland Model
• Explicit Relation of Quantum Hall Effect and Calogero-Sutherland Model
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• Luttinger States at the Edge
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Cited by in corpus (7)

• Matrix model version of AGT conjecture and generalized Selberg integrals
• Dynamics of waves in 1D electron systems: Density oscillations driven by population inversion
• Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems
• Equilibration in one-dimensional quantum hydrodynamic systems
• The classical hydrodynamics of the Calogero-Sutherland model
• Homolumo Gap and Matrix Model
• Conformal field theory, solitons, and elliptic Calogero--Sutherland models