Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
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DOI：
10.1103/physrevlett.19.1312
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发表时间：
1967-12
影响因子：
8.6
通讯作者：
C. Yang
中科院分区：
文献类型：
--
作者：
C. Yang
利用Bethe假设，将一维N粒子排斥δ相互作用问题归结为与置换群SN的不可约表示R大小相同的矩阵的本征值问题.对于某些R的本征值问题本身是解决了第二次使用贝特的假设，在一个广义的形式。特别地，自旋1/2费米子的基态问题被简化为广义Fredholm方程。
The repulsive δ interaction problem in one dimension for N particles is reduced, through the use of Bethe's hypothesis, to an eigenvalue problem of matrices of the same sizes as the irreducible representations R of the permutation group S N. For some R's this eigenvalue problem itself is solved by a second use of Bethe's hypothesis, in a generalized form. In particular, the ground-state problem of spin-½ fermions is reduced to a generalized Fredholm equation.