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math-ph2026
Commutator Estimates for Low-Temperature Fermi Gases
Jacky J. Chong, Laurent Lafleche, Jinyeop Lee +1
We investigate the semiclassical regularity of thermal equilibria in the presence of a harmonic potential at low temperature; that is, we obtain the asymptotic behavior of the Scha…
math-ph2025
The Semiclassical Limit of the 2D Dirac--Hartree Equation with Periodic Potentials
Jinyeop Lee, Kunlun Qi
We study the semiclassical limit of the two-dimensional Dirac--Hartree equation in the presence of a periodic external potential. The spinor dynamics are formulated using the matri…
math-ph2025
Derivation of the Chern-Simons-Schrödinger equation from the dynamics of an almost-bosonic-anyon gas
Théotime Girardot, Jinyeop Lee
We study the time evolution of an initial product state in a system of almost-bosonic-extended-anyons in the large-particle limit. We show that the dynamics of this system can be w…