Fermion clustering in a soluble one-dimensional many-body system
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1981-01-01
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Aguilera-Navarro, V. C.
Ley-Koo, E.
De Llano, M.
Peltier, S. M.
Plastino, A.
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A one-dimensional gas of N fermions with ν intrinsic degrees of freedom, such that N /ν is integer, with the particles interacting via attractive delta pair potentials is considered in its ground state. In particular, the clustering into N /ν entities is shown to appear and studied comparatively from both the Schrödinger and Hartree-Fock approximation viewpoints in terms of the energy and wavefunction overlap. The Schrödinger ground state energy for all nonzero densities is calculated numerically and compared to the nonzero density Hartree-Fock results for ν = 2. © 1982 American Institute of Physics.
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Journal of Mathematical Physics, v. 23, n. 12, p. 2439-2444, 1981.