Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

C. N. Yang
Phys. Rev. Lett. 19, 1312 – Published 4 December 1967
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Abstract

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 SN. 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.

  • Received 2 November 1967

DOI:https://doi.org/10.1103/PhysRevLett.19.1312

©1967 American Physical Society

Authors & Affiliations

C. N. Yang

  • Institute for Theoretical Physics, State University of New York, Stony Brook, New York

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Issue

Vol. 19, Iss. 23 — 4 December 1967

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