Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
Asbjørn Bækgaard Lauritsen, Robert Seiringer
Abstract
We prove an upper bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. One of the main ingredients in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin, Gillespie and Ripka (Nucl. Phys. A, 176.2 (1971), pp. 237–260).
Topics & Concepts
Ground stateCluster expansionKinetic energySpin (aerodynamics)Cluster (spacecraft)Fermi gasUpper and lower boundsFermi Gamma-ray Space TelescopeBound stateFermi energyState (computer science)Energy (signal processing)Condensed matter physicsAtomic physicsPhysicsQuantum mechanicsMathematicsMathematical analysisThermodynamicsElectronComputer scienceProgramming languageAlgorithmCold Atom Physics and Bose-Einstein CondensatesPhysics of Superconductivity and MagnetismQuantum many-body systems