We consider systems of N bosons in a box of volume 1, interacting through a repulsive two-body potential of the form kN^(3b−1)V(Nbx). For all b in the interval (0,1), and for sufficiently small coupling constant k positive, 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 / C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein. - In: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. - ISSN 1435-9855. - 22:7(2020), pp. 2331-2403. [10.4171/JEMS/966]

The excitation spectrum of Bose gases interacting through singular potentials

C. Boccato;
2020

Abstract

We consider systems of N bosons in a box of volume 1, interacting through a repulsive two-body potential of the form kN^(3b−1)V(Nbx). For all b in the interval (0,1), and for sufficiently small coupling constant k positive, 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.
Bogolyubov theory; Bose gase; Bose-Einstein condensation; Excitation spectrum
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/859676
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