Journal
FORUM OF MATHEMATICS SIGMA
Volume 9, Issue -, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/fms.2021.22
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Funding
- European Union's Horizon 2020 research and innovation programme under Marie Sklodowska-Curie Grant [754411]
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme [694227]
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In the mean-field scaling regime, we consider a system of N bosons with a class of interactions including the repulsive Coulomb potential. By deriving an asymptotic expansion of low-energy eigenstates and corresponding energies, we provide corrections to Bogoliubov theory to any order in 1/N.
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.
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