具有与“自旋”有关的接触相互作用的许多物体问题
Many Body Problems with "Spin"-Related Contact Interactions
摘要：
我们研究一维中具有与自旋相关的接触相互作用的量子力学系统。描述接触相互作用的边界条件依赖于粒子的自旋状态。特别是，我们调查的可积性的$N$体系统与$δ$相互作用和点自旋耦合。明确给出了Bethe的解析解、束缚态和散射矩阵。本文还讨论了广义分离边界条件的情形和与自旋有关的特殊边界条件对应的一些哈密顿算符。
英文摘要：
We study quantum mechanical systems with "spin"-related contact interactions in one dimension. The boundary conditions describing the contact interactions are dependent on the spin states of the particles. In particular we investigate the integrability of $N$-body systems with $δ$-interactions and point spin couplings. Bethe ansatz solutions, bound states and scattering matrices are explicitly given. The cases of generalized separated boundary condition and some Hamiltonian operators corresponding to special spin related boundary conditions are also discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
