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Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial
Akinori Nishino, Hideaki Ujino, Miki Wadati
Extending a method developed by Takamura and Takano, we present the Rodrigues formula for the nonsymmetric multivariable Laguerre polynomials which form the orthogonal basis for th…
Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
Hideaki Ujino, Miki Wadati
Applying a method developed by Takamura and Takano for the nonsymmetric Jack polynomial, we present the Rodrigues formula for the nonsymmetric multivariable Hermite polynomial.
Exact spectrum and partition function of SU(m|n) supersymmetric Polychronakos model
B. Basu-Mallick, H. Ujino, M. Wadati
By using the fact that Polychronakos-like models can be obtained through the `freezing limit' of related spin Calogero models, we calculate the exact spectrum as well as partition…
Integrable semi-discretization of the coupled nonlinear Schrödinger equations
T. Tsuchida, H. Ujino, M. Wadati
A system of semi-discrete coupled nonlinear Schrödinger equations is studied. To show the complete integrability of the model with multiple components, we extend the discrete versi…