Ground State Energy for Fermions in a 1D Harmonic Trap with Delta Function Interaction
Zhong-Qi Ma, C. N. Yang
TL;DR
This paper proposes conjectures for the ground state energy of large 1D spin 1/2 fermion systems in harmonic traps with delta interactions, using the Thomas-Fermi method as a testing tool.
Contribution
It introduces conjectures for the ground state energy of such fermion systems and applies the Thomas-Fermi method for validation.
Findings
Conjectures for ground state energy are formulated.
Thomas-Fermi method is used to test the conjectures.
States with different spin J are analyzed separately.
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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