Quantum integrable systems of elliptic Calogero-Moser type

来源 :International Conference on Orthogonal Polynomials,Integrabl | 被引量 : 0次 | 上传用户:mokama1
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This seminar aims to give an overview of results concerning special classes of integrable N-particle quantum systems.Specifically,we focus on elliptic Calogero-Moser systems of nonrelativistic(differential operator)and relativistic(difference operator)type,related to the Lie algebras AN-1 and BCN.In the last part we sketch our own approach to the construction of joint eigenfunctions,based on kernel functions that give rise to Hilbert-Schmidt integral operators.
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