Ground State Energy for Fermions in a 1D Harmonic Trap with Delta Function Interaction

Physics – Condensed Matter – Quantum Gases

Scientific paper

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4 pages, 3 figures

Scientific paper

Conjectures are made for the ground state energy of a large spin 1/2 Fermion
system trapped in a 1D harmonic trap with delta function interaction. States
with different spin J are separately studied. The Thomas-Fermi method is used
as an effective test for the conjecture.

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