We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κ N^{3β} V(N^β x) . For all β in (0;1), and for sufficiently small positive 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 N.

The excitation spectrum of Bose gases interacting through singular potentials

Cenatiempo S
Membro del Collaboration Group
;
2020

Abstract

We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κ N^{3β} V(N^β x) . For all β in (0;1), and for sufficiently small positive 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 N.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/6942
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