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
Boccato C.;
2020-01-01
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
JEMS-2020-022-007-06.pdf
non disponibili
Tipologia:
Versione finale editoriale
Licenza:
NON PUBBLICO - accesso privato/ristretto
Dimensione
408.75 kB
Formato
Adobe PDF
|
408.75 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
BBCSjems.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
555.71 kB
Formato
Adobe PDF
|
555.71 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
