Communications in Mathematical Physics

, Volume 266, Issue 3, pp 797–818 | Cite as

Upper Bounds to the Ground State Energies of the One- and Two-Component Charged Bose Gases

  • Jan Philip SolovejEmail author


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 [10] and [11]. The formulas of Foldy and Dyson which are based on Bogolubov’s pairing theory have thus been validated.


Coherent State Ground State Energy Trial State Trace Class Operator Operator Concave 
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Copyright information

© J.P. Solovej 2006

Authors and Affiliations

  1. 1.Institute for Mathematical SciencesUniversity of CopenhagenCopenhagenDenmark

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