Physics – Mathematical Physics
Scientific paper
2004-06-07
Physics
Mathematical Physics
23 pages. LaTeX Updated version (November 2005): 25 pages. Added discussion on Bogolubov trial states. Proofs simplified
Scientific paper
We prove upper bounds on the ground state energies of the one- and two-component charged Bose gases. The upper bound for the one-component gas agrees with the high density asymptotic formula proposed by L. Foldy in 1961. The upper bound for the two-component gas agrees in the large particle number limit with the asymptotic formula conjectured by F. Dyson in 1967. Matching asymptotic lower bounds for these systems were proved in references \cite{LS} and \cite{LS2}. The formulas of Foldy and Dyson which are based on Bogolubov's pairing theory have thus been validated.
No associations
LandOfFree
Upper Bounds to the Ground State Energies of the One- and Two-Component Charged Bose Gases does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Upper Bounds to the Ground State Energies of the One- and Two-Component Charged Bose Gases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Upper Bounds to the Ground State Energies of the One- and Two-Component Charged Bose Gases will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-594918