$δ$-function spin-1/2 fermions in a one-dimensional potential well

Details $δ$-function spin-1/2 fermions in a one-dimensional potential well $δ$-function spin-1/2 fermions in a one-dimensional potential well

1996-06-27

arxiv.org/abs/hep-th/9606182v1

Physics

High Energy Physics

High Energy Physics - Theory

ReVtex, no figures, Phys. Rev. A 53 (1996)June

Scientific paper

10.1103/PhysRevA.53.3743

The quantum-mechanical problem of $N$ fermions with $\delta$-function
interaction in a one-dimensional potential well of finite depth is solved. It
is shown that there exists exact wave function of Bethe-ansatz form in the case
that a single particle tunnels outside of the well. The Bethe-ansatz like
secular equations for the spectrum are obtained.

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