A Note on the Binding Energy for Bosons in the Mean-Field Limit
Boßmann L, Leopold N, Mitrouskas D, Petrat S (2024)
Publication Type: Journal article
Publication year: 2024
Journal
Book Volume: 191
Article Number: 48
Journal Issue: 4
DOI: 10.1007/s10955-024-03260-5
Abstract
We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose–Einstein condensation. The binding energy is defined as the energy it takes to remove one particle from the gas. In this article, we prove an asymptotic expansion for the binding energy, and compute the first orders explicitly for the homogeneous gas. Our result addresses in particular a conjecture by Nam (Lett Math Phys 108(1):141–159, 2018), and provides an asymptotic expansion of the ionization energy of bosonic atoms.
Involved external institutions
Johannes Gutenberg-Universität Mainz (JGU)
Germany (DE)
Universität Basel
Switzerland (CH)
Institute of Science and Technology Austria (IST Austria)
Austria (AT)
Germany (DE)
Universität Basel
Switzerland (CH)
Institute of Science and Technology Austria (IST Austria)
Austria (AT)
How to cite
APA:
Boßmann, L., Leopold, N., Mitrouskas, D., & Petrat, S. (2024). A Note on the Binding Energy for Bosons in the Mean-Field Limit. Journal of Statistical Physics, 191(4). https://doi.org/10.1007/s10955-024-03260-5
MLA:
Boßmann, Lea, et al. "A Note on the Binding Energy for Bosons in the Mean-Field Limit." Journal of Statistical Physics 191.4 (2024).
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