We consider systems of bosons in a box of volume one, interacting through a repulsive two-body potential of the form . For all , and for sufficiently small coupling constant , we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large .
Cite this article
Chiara Boccato, Christian Brennecke, Serena Cenatiempo, Benjamin Schlein, The excitation spectrum of Bose gases interacting through singular potentials. J. Eur. Math. Soc. 22 (2020), no. 7, pp. 2331–2403DOI 10.4171/JEMS/966