2007/06/30 by Yusuke Nishida, Dam T. Son, D. Son · 6 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Conformal field theory #Conformal map #Eigenvalues and eigenvectors #Fermion #Field (mathematics) #Harmonic #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #Theoretical physics #Topological quantum computer #Unitarity #cond-mat.other #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.76.086004
published as Phys.Rev.D76:086004,2007 · 26 pages, 9 figures; added a comment on the convergence of epsilon expansions
openalex publication_date 2007/10/26 · arxiv created 2007/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study representations of the Schr"odinger algebra in terms of operators in nonrelativistic conformal field theories. We prove a correspondence between primary operators and eigenstates of few-body systems in a harmonic potential. Using the correspondence we compute analytically the energy of fermions at unitarity in a harmonic potential near two and four spatial dimensions. We also compute the energy of anyons in a harmonic potential near the bosonic and fermionic limits.