3 papers
quant-ph2026
The bulk spectral gap is semi-decidable: a convergent family of certified upper bounds
Xiangling Xu, Matthias Schötz, Jie Wang +4
Determining spectral gaps in the thermodynamic limit is a central challenge in quantum many-body physics. Existing rigorous methods are largely limited to special settings, while v…
math.AG2024
Real Nullstellensatz for 2-step nilpotent Lie algebras
Philipp Schmitt, Matthias Schötz
We prove a noncommutative real Nullstellensatz for 2-step nilpotent Lie algebras that extends the classical, commutative real Nullstellensatz as follows: Instead of the real polyno…
math.RA2023
Associativity and Commutativity of Partially Ordered Rings
Matthias Schötz
Consider a commutative monoid and a biadditive binary operation . We will show that under some additional general assumptions, the operation …