Weak Edgeworth expansion for the mean-field Bose gas

Boßmann L, Petrat S (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Letters in Mathematical Physics Springer Verlag (Germany)

Book Volume: 113

Article Number: 77

Journal Issue: 4

DOI: 10.1007/s11005-023-01698-4

Abstract

We consider the ground state and the low-energy excited states of a system of N identical bosons with interactions in the mean-field scaling regime. For the ground state, we derive a weak Edgeworth expansion for the fluctuations of bounded one-body operators, which yields corrections to a central limit theorem to any order in 1/N . For suitable excited states, we show that the limiting distribution is a polynomial times a normal distribution, and that higher-order corrections are given by an Edgeworth-type expansion.

Involved external institutions

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

How to cite

APA:

Boßmann, L., & Petrat, S. (2023). Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics, 113(4). https://doi.org/10.1007/s11005-023-01698-4

MLA:

Boßmann, Lea, and Sören Petrat. "Weak Edgeworth expansion for the mean-field Bose gas." Letters in Mathematical Physics 113.4 (2023).

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