Bose–Einstein condensation in a dilute, trapped gas at positive temperature

A Deuchert, R Seiringer, J Yngvason - Communications in Mathematical …, 2019 - Springer
We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive
temperature. The system is analyzed in a combination of a thermodynamic and a Gross …

The Hartree and Vlasov equations at positive density

M Lewin, J Sabin - Communications in Partial Differential …, 2020 - Taylor & Francis
We consider the nonlinear Hartree and Vlasov equations around a translation-invariant
(homogeneous) stationary state in infinite volume, for a short range interaction potential. For …

Global well-posedness of the nonlinear Hartree equation for infinitely many particles with singular interaction

S Hadama, Y Hong - arXiv preprint arXiv:2404.06730, 2024 - arxiv.org
The nonlinear Hartree equation (NLH) in the Heisenberg picture admits steady states of the
form $\gamma_f= f (-\Delta) $ representing quantum states of infinitely many particles. In this …

A lower bound for the BCS functional with boundary conditions at infinity

A Deuchert - Journal of Mathematical Physics, 2017 - pubs.aip.org
We consider a many-body system of fermionic atoms interacting via a local pair potential
and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer …

[PDF][PDF] Contributions to the mathematical study of BCS theory

A Deuchert - 2016 - tobias-lib.ub.uni-tuebingen.de
Contributions to the mathematical study of BCS theory Page 1 Contributions to the
mathematical study of BCS theory Andreas Deuchert Mathematisches Institut 2016 Page 2 …