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• W2069452634 endingPage "1194" @default.
• W2069452634 startingPage "1191" @default.
• W2069452634 abstract "Quantum integrable particle systems with inverse square interactions in one-dimensional space are investigated by use of the quantum inverse scattering method. For the case of particles with $mathrm{SU}(ensuremath{nu})$ spins, a hidden symmetry is the $mathrm{SU}(ensuremath{nu})ensuremath{bigotimes}mathrm{U}(1)ensuremath{simeq}mathrm{U}(ensuremath{nu})$ current algebra. The system has a higher symmetry, the ${W}_{1+ensuremath{infty}}$ algebra. This $W$ algebra structure unifies the Calogero type ($frac{1}{{x}^{2}}$ interactions) and the Sutherland type ($frac{1}{{sin}^{2}x}$ interactions). The energy spectra of the systems are obtained in a simple manner based on the fermion representation of the algebra." @default.
• W2069452634 created "2016-06-24" @default.
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• W2069452634 date "1994-08-29" @default.
• W2069452634 modified "2023-10-01" @default.
• W2069452634 title "Integrable Systems with Long-Range Interactions,W∞Algebra, and Energy Spectrum" @default.
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• W2069452634 doi "https://doi.org/10.1103/physrevlett.73.1191" @default.
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