2 papers
math-ph2025
Ordering of Energy Levels in the Fröhlich Model
Fumio Hiroshima, Akihiro Kobayashi, Tadahiro Miyao +1
Consider a one-dimensional system of \( N \) electrons subject to an external potential \( U \). Let \( E_{\rm el}(S) \) denote the ground state energy of the system with total spi…
math.FA2024
An Inverse Theorem for the Perron--Frobenius Theorem
Shunsuke Tomioka
The Perron--Frobenius theorem in infinite-dimensional Hilbert spaces can be breifly stated as follows: Given a Hilbert cone in a real Hilbert space, a bounded positive self-adjoint…