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Article Dans Une Revue Journal of Mathematical Physics Année : 2022

Ground state energy of the low density Bose gas with three-body interactions

Résumé

We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state of the system is determined completely in terms of the scattering energy of the interaction potential. The corresponding result for two-body interactions was proved in seminal papers of Dyson (1957) and Lieb--Yngvason (1998).
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Dates et versions

hal-03550651 , version 1 (15-03-2024)

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Phan Thành Nam, Julien Ricaud, Arnaud Triay. Ground state energy of the low density Bose gas with three-body interactions. Journal of Mathematical Physics, 2022, 63 (7), pp.071903. ⟨10.1063/5.0087026⟩. ⟨hal-03550651⟩
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