Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications

Boßmann, Lea; Leopold, Nikolai; Mitrouskas, David; Petrat, Sören

doi:10.1007/978-3-031-45434-9_22

Fundamental Theories of Physics

2024

DOI: 10.1007/978-3-031-45434-9_22

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Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications

Lea Boßmann,

Nikolai Leopold,

David Mitrouskas

et al.

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A Note on the Binding Energy for Bosons in the Mean-Field Limit

Boßmann,

Leopold,

Mitrouskas

et al. 2024

J Stat Phys

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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.

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A Note on the Binding Energy for Bosons in the Mean-Field Limit

Boßmann,

Leopold,

Mitrouskas

et al. 2024

J Stat Phys

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show abstract

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Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications

Cited by 1 publication

References 43 publications

A Note on the Binding Energy for Bosons in the Mean-Field Limit

A Note on the Binding Energy for Bosons in the Mean-Field Limit

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