The energy of dilute Bose gases II: the general case
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For a dilute system of non-relativistic bosons in 3 dimensions interacting through a positive, radially symmetric, potential v with scattering length a we prove that the ground state energy density satisfies the bound e(ρ)≥4πaρ2(1+12815πρa3+o(ρa3)), thereby proving a lower bound consistent with the Lee–Huang–Yang formula for the energy density. The proof allows for potentials with large L1-norm, in particular, the case of hard core interactions is included. Thereby, we solve a problem in mathematical physics that had been a major challenge since the 1950’s.
Originalsprog | Engelsk |
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Tidsskrift | Inventiones Mathematicae |
Vol/bind | 232 |
Sider (fra-til) | 863–994 |
ISSN | 0020-9910 |
DOI | |
Status | Udgivet - 2023 |
Bibliografisk note
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
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