Calogero-Sutherland Model with Anti-periodic Boundary Conditions: Eigenvalues and Eigenstates

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dc.creatorChakraborty, Arindam
dc.creatorRay, Subhankar
dc.creatorShamanna, J.
dc.date2005-09-06
dc.date.accessioned2026-07-07T04:32:19Z
dc.date.available2026-07-07T04:32:19Z
dc.descriptionThe U(1) Calogero Sutherland Model with anti-periodic boundary condition is studied. The Hamiltonian is reduced to a convenient form by similarity transformation. The matrix representation of the Hamiltonian acting on a partially ordered state space is obtained in an upper triangular form. Consequently the diagonal elements become the energy eigenvalues. The eigenstates are constructed using Young diagram and represented in terms of Jack symmetric polynomials. The eigenstates so obtained are orthonormalized.
dc.description9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0509010
dc.identifierhttp://arxiv.org/abs/math-ph/0509010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58149
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleCalogero-Sutherland Model with Anti-periodic Boundary Conditions: Eigenvalues and Eigenstates
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