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Asymptotic expansion of low-energy excitations for weakly interacting bosons
Forum of Mathematics, Sigma ( IF 1.389 ) Pub Date : 2021-03-28 , DOI: 10.1017/fms.2021.22 Lea Boßmann , Sören Petrat , Robert Seiringer
Forum of Mathematics, Sigma ( IF 1.389 ) Pub Date : 2021-03-28 , DOI: 10.1017/fms.2021.22 Lea Boßmann , Sören Petrat , Robert Seiringer
We consider a system ofN 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$1/N$ .
中文翻译:
弱相互作用玻色子的低能激发的渐近扩展
我们考虑一个系统ñ 平均场标度体系中的玻色子,用于一类相互作用,包括排斥的库仑势。我们推导出低能本征态和相应能量的渐近展开式,这为 Bogoliubov 理论提供了任何阶的修正$1/N$ .
更新日期:2021-03-28
中文翻译:
弱相互作用玻色子的低能激发的渐近扩展
我们考虑一个系统