Algebraic Construction of the Eigenstates for the Second Conserved Operator of the Quantum Calogero Model
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概要
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An algebraic construction of the eigenstates for the quantum Calogero model is investigated.Extending the method of Lapointe and Vinet, we construct the eigenstates for the second con-served operator of the quantum Calogero model. All the eigenstates can be factorized intosymmetric polynomials which we call "Hi-Jack symmetric polynomials" and the ground statewave function. The conjectured formula for the eigenvalue of the second conserved operatoris confirmed. The Hi-Jack polynomials are strong candidates for the orthogonal basis of thequantum Calogero model.
- 社団法人日本物理学会の論文
- 1996-03-15
著者
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Ujino Hideaki
Department Of Physics Graduate School Of Science University Fo Tokyo
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