2 papers
math.SP2025
A non-degeneracy theorem for interacting fermions in one dimension
Thiago Carvalho Corso
In this paper, we show that the ground-state of many-body Schrödinger operators for electrons in one dimension is non-degenerate. More precisely, we consider Schrödinger operators…
math-ph2024
Lieb-Thirring inequalities for the shifted Coulomb Hamiltonian
Thiago Carvalho Corso, Timo Weidl, Zhuoyao Zeng
In this paper we prove sharp Lieb-Thirring (LT) inequalities for the family of shifted Coulomb Hamiltonians. More precisely, we prove the classical LT inequalities with the semi-cl…