Asymptotic expansion of low-energy excitations for weakly interacting bosons

Boßmann L, Petrat S, Seiringer R (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Forum of Mathematics. Sigma Cambridge University Press

Book Volume: 9

Article Number: e28

DOI: 10.1017/fms.2021.22

Abstract

We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N.

Involved external institutions

Institute of Science and Technology Austria (IST Austria) AT Austria (AT)

How to cite

APA:

Boßmann, L., Petrat, S., & Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics. Sigma, 9. https://doi.org/10.1017/fms.2021.22

MLA:

Boßmann, Lea, Sören Petrat, and Robert Seiringer. "Asymptotic expansion of low-energy excitations for weakly interacting bosons." Forum of Mathematics. Sigma 9 (2021).

BibTeX: Download