3 papers
math.SP2026
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 operator…
math-ph2025
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…
math.CV2025
A generalized three lines lemma in Hardy-like spaces
Thiago Carvalho Corso
In this paper we address the following question: given a holomorphic function with prescribed and norm (with ) along two…