Open AccessA STUDY ON THE EIGENSTATES OF QUANTUM NONLINEAR SCHR?DINGER MODEL WITH GENERAL SUPERMATRICES
Author(s) -
Zhou Yu-Kui,
Yun Guo-hong
Publication year - 1989
Publication title -
wuli xuebao
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.