Gauge momentum operators for the Calogero-Sutherland model with anti-periodic boundary condition

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dc.creatorChakraborty, Arindam
dc.creatorRay, Subhankar
dc.creatorShamanna, J.
dc.date2006-07-17
dc.date2007-01-15
dc.date.accessioned2026-07-07T07:40:29Z
dc.date.available2026-07-07T07:40:29Z
dc.descriptionThe integrability of a classical Calogero systems with anti-periodic boundary condition is studied. This system is equivalent to the periodic model in the presence of a magnetic field. Gauge momentum operators for the anti-periodic Calogero system are constructed. These operators are hermitian and simultaneously diagonalizable with the Hamiltonian. A general scheme for constructing such momentum operators for trigonometric and hyperbolic Calogero-Sutherland model is proposed. The scheme is applicable for both periodic and anti-periodic boundary conditions. The existence of these momentum operators ensures the integrability of the system. The interaction parameter $λ$ is restricted to a certain subset of real numbers. This restriction is in fact essential for the construction of the hermitian gauge momentum operators.
dc.description2 figures, detailed calculation of commutation in general case added in the appendix
dc.identifierhttps://arxiv.org/abs/hep-th/0607108
dc.identifierhttp://arxiv.org/abs/hep-th/0607108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121791
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleGauge momentum operators for the Calogero-Sutherland model with anti-periodic boundary condition
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