Ground State Energy for Fermions in a 1D Harmonic Trap with Delta Function Interaction
classification
❄️ cond-mat.quant-gas
cond-mat.stat-mech
keywords
deltaenergyfunctiongroundharmonicinteractionspinstate
read the original abstract
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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