Asymptotic expansion of low-energy excitations for weakly interacting bosons
Lea Boßmann, Sören Petrat, Robert Seiringer
Abstract
Abstract We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in $1/N$ .
Topics & Concepts
BosonPhysicsCoulombEigenvalues and eigenvectorsScalingAsymptotic expansionQuantum mechanicsQuantum electrodynamicsField (mathematics)Mean field theoryMathematical physicsMathematicsMathematical analysisGeometryPure mathematicsElectronCold Atom Physics and Bose-Einstein CondensatesQuantum, superfluid, helium dynamicsQuantum chaos and dynamical systems