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

ZHOU YU-KUI | Zendy; Guohong Yun | Zendy

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

Author(s) -

ZHOU YU-KUI,

Guohong Yun

Publication year - 1989

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.38.648

Subject(s) - physics , eigenvalues and eigenvectors , hamiltonian (control theory) , bound state , boson , fermion , quantum , quantum inverse scattering method , nonlinear system , quantum mechanics , scattering , mathematical physics , inverse scattering problem , inverse scattering transform , mathematics , mathematical optimization

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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