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中国物理学会期刊

最一般的超矩阵量子非线性Schr?dinger模型的本征态研究

CSTR: 32037.14.aps.38.648

A STUDY ON THE EIGENSTATES OF QUANTUM NONLINEAR SCHR?DINGER MODEL WITH GENERAL SUPERMATRICES

CSTR: 32037.14.aps.38.648
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  • 本文用量子反散射方法讨论了最一般的超矩阵量子非线性Schr?dinger模型的本征态。特别是构造了玻色和费密粒子混合的N粒子束缚态。N粒子的散射态和束缚态的能量分别为∑j=1Nλj2和Np2-(c2/12)N(N2-1)。

     

    A quantum nonlinear Schr?dinger model with the most general supermatrices, having structure (n-k,k)(m-l,l), is studied by using the quantum inverse scattering method. The eigenstates of the Hamiltonian and the infinite number of the conserved quantities of the system are discussed, In particular, the N-particle bound states with the mixture of bosons and fermions are found. The energy of the N-particle eigenstate are ∑j=1Nλj2 and Np2-(c2/12)N(N2-1) for the scattering stateand the bound state respectively.

     

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