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arXiv quant-ph/0001089quant-phcond-mathep-th
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关于一维点相互作用多体问题的一个注记

A Remark on One-Dimensional Many-Body Problems with Point Interactions

Sergio Albeverio, Ludwik Dabrowski, Shao-Ming Fei

摘要:

具有一般接触相互作用的一维量子力学多体问题的可积性得到了广泛的研究。结果表明,除了纯的(排斥或吸引)$δ$ -函数相互作用外,还存在另一种奇点相互作用,这种奇点相互作用产生了一类新的单参数可积量子力学多体系统.束缚态和散射矩阵计算玻色子和费米子统计。

英文摘要:

The integrability of one dimensional quantum mechanical many-body problems with general contact interactions is extensively studied. It is shown that besides the pure (repulsive or attractive) $δ$-function interaction there is another singular point interactions which gives rise to a new one-parameter family of integrable quantum mechanical many-body systems. The bound states and scattering matrices are calculated for both bosonic and fermionic statistics.

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。

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