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

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

2005-09-06

arxiv.org/abs/math-ph/0509010v1

Physics

Mathematical Physics

9 pages, 4 figures

Scientific paper

The 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.

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