2015/06/16 by D. K. Watson, Watson, D. K.
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1506.05122
arXiv admin note: text overlap with arXiv:cond-mat/0607600
arxiv created 2015/06/16 · openalex publication_date 2015/06/16 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Confined quantum systems involving N identical interacting fermions are found in many areas of physics, including condensed matter, atomic, nuclear and chemical physics. In a previous series of papers, a manybody perturbation method that is applicable to both weakly and strongly-interacting systems of bosons has been set forth by the author and coworkers. A symmetry invariant perturbation theory was developed which uses group theory coupled with the dimension of space as the perturbation parameter to obtain an analytic correlated wave function through first order for a system under spherical confinement with a general two-body interaction. In the present paper, we extend this formalism to large systems of fermions, circumventing the numerical demands of applying the Pauli principle by enforcing the Pauli principle on paper. The method does not scale in complexity with N and has minimal numerical cost. We apply the method to a unitary Fermi gas and compare to recent Monte Carlo values.