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

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.

4 pages, 3 figures

References in corpus (3)

• Many-Body Physics with Ultracold Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides

Cited by in corpus (4)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
• The explicit expression of the fugacity for weakly interacting Bose and Fermi gases