Rodrigues Formula for Hi-Jack Symmetric Polynomials Associated with the Quantum Calogero Model
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概要
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The Hi-Jack synazaaetric polynounials, which are associated with the simultaneous eigenstatesfor the first and second conserved operators of the quantum Calogero model, are studied. Usingthe algebraic properties of the Dunkl operators for the model, we derive the Rodrigtues formulafor the Hi-Jack symmetric polynomials, Some properties of the Hi-Jack polynomials and the rela-tionships with the Jack syanmetric polynornials and with the basis given by the QISIVI approachare presented. The Hi-Jack symunetric polynomials are strong candidates for the orthogonalbasis of the quantum Calogero model.
- 社団法人日本物理学会の論文
- 1996-08-15
著者
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Wadati Miki
Department Of Physics Faculty Of Science University Of Tokyo
-
UJINO Hideaki
Department of Physics,Graduate School of Science,University of Tokyo
-
Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
-
Ujino Hideaki
Department Of Physics Graduate School Of Science University Fo Tokyo
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