Random Schrr Odinger Operators Arising from Lattice Gauge Elds Ii: Determinants Mathematics Subject Classiication
نویسنده
چکیده
We introduce and study the variational problem to maximize the determinant of a random selfadjoint operators obtained from discrete abelian or nonabelian lattice gauge elds. We prove the existence of minima and give rough estimates of the functional for multi-particle operators.
منابع مشابه
Random Schrr Odinger Operators Arising from Lattice Gauge Elds I: Existence and Examples Mathematics Subject Classiication
We consider models of random Schrr odinger operators which exist thanks to a cohomological theorem in ergodic theory. Examples are ergodic Schrr odinger operators with random magnetic uxes on discrete two-dimensional lattices or non-periodic situations like Penrose lattices.
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