Browsing by Author "Leopold, Nikolai"

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    Ground State of Bose Gases Interacting through Singular Potentials
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2023) Boßmann, Lea; Leopold, Nikolai; Petrat, Sören; Rademacher, Simone
    We consider a system of N bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form N3β−1v(Nβx) for β∈(0,1). We prove the next order correction to Bogoliubov theory for the ground state and the ground state energy.
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    Mini-Workshop: Mathematics of Many-body Fermionic Systems
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2023) Leopold, Nikolai; Thành Nam, Phan; Saffirio, Chiara
    Fermionic quantum systems are well described by the linear many-body Schrödinger equation. For interacting systems the full Schrödinger theory is extremely complicated and theoretical as well numerical investigations are not feasible. In practice, macroscopic properties of large systems can therefore only be accessed by means of approximate theories. The intention of this workshop was to showcase the most recent advances in the mathematical study of many-body interacting fermionic systems and to stimulate discussions among different research groups.