| 最一般的超矩阵量子非线性Schr?dinger模型的本征态研究 |
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| 引用本文： | 周玉魁,云国宏. 最一般的超矩阵量子非线性Schr?dinger模型的本征态研究[J]. 物理学报, 1989, 38(4): 648-652 |
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| 作者姓名： | 周玉魁 云国宏 |
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| 作者单位： | (1)内蒙古大学物理系; (2)西北大学现代物理研究所 |
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| 摘 要： | 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)。关键词：
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| 关 键 词： | 量子结构模型 本征态 超矩阵 研究 |
| 收稿时间： | 1988-09-08 |
A STUDY ON THE EIGENSTATES OF QUANTUM NONLINEAR SCHR?DINGER MODEL WITH GENERAL SUPERMATRICES |
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| ZHOU YU-KUI and YUN GUO-HONG. A STUDY ON THE EIGENSTATES OF QUANTUM NONLINEAR SCHR?DINGER MODEL WITH GENERAL SUPERMATRICES[J]. Acta Physica Sinica, 1989, 38(4): 648-652 |
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| Authors: | ZHOU YU-KUI and YUN GUO-HONG |
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| Abstract: | 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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