Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model

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概要

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• Orthogonality of the Hi-Jack polynotnials, which were introduced as the simultaneotrs eigen-functions of the first and second conserved operators of the Calogero model, is proved by showingthat they are non-degenerate sinaultaneotrs eigenfuractions for all the cornmuting conserved op-erators of the Calogero model. The fact that our definition of the Hi-Jack polynomials uniqtrelyspecifies the Hi-Jack polynomials, which is asstnred by the triangularity with respect to thedominance order among the Young tableatrx, plays an essential role in our proof.

• 社団法人日本物理学会の論文
• 1997-02-15

著者

• Wadati Miki

  Depatment Of Physics Graduate School Of Science The University Of Tokyo

• UJINO Hideki

  Depatment of Physics,Graduate School of Science,The University of Tokyo

• Ujino Hideki

  Depatment Of Physics Graduate School Of Science The University Of Tokyo

• Ujino Hideaki

  Depatment of Physics,Graduate School of Science,The University of Tokyo

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• Time-Dependent Random Matrix Theories on Non-Compact and Compact Non-Zero Curvature Spaces
• Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model

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