Low-energy spectrum and dynamics of the weakly interacting Bose gas

Boßmann L (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Journal of Mathematical Physics American Institute of Physics (AIP)

Book Volume: 63

Article Number: 089983

Journal Issue: 6

DOI: 10.1063/5.0089983

Abstract

We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates, and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/N. This is based on joint works with Petrat, Pickl, Seiringer, and Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix.

Involved external institutions

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

How to cite

APA:

Boßmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics, 63(6). https://doi.org/10.1063/5.0089983

MLA:

Boßmann, Lea. "Low-energy spectrum and dynamics of the weakly interacting Bose gas." Journal of Mathematical Physics 63.6 (2022).

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