One-Dimensional w-Component Fermions and Bosons with Repulsive Delta Function Interaction
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Abstract
We prove in theorems 2 and 3 that for 1D Bosons with repulsive delta function interaction with any number of components and any Young tableau, the energy per particle as N→∞ is the same as for spinless Bosons. -
References
[1] Lieb E H and Liniger W 1963 Phys. Rev. 130 1605 [2] Yang C N 1967 Phys. Rev. Lett. 19 1312. The first 15 sections of this paper dealt with Fermions. In the last section, section 16, a formula (26b') for Bosons was given without proof. That formula is incorrect. [3] Sutherland B 1968 Phys. Rev. Lett. 20 98 [4] Lieb E and Mattis D 1962 Phys. Rev. 125 164
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