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Eigenvalues of the Anti-periodic Calogero - Sutherland Model

High Energy Physics - Theory 2007-05-23 v2 Statistical Mechanics Mathematical Physics math.MP

Abstract

The U(1) Calogero Sutherland Model (CSM) 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.

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Cite

@article{arxiv.hep-th/0412200,
  title  = {Eigenvalues of the Anti-periodic Calogero - Sutherland Model},
  author = {Arindam Chakraborty and Subhankar Ray},
  journal= {arXiv preprint arXiv:hep-th/0412200},
  year   = {2007}
}

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