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math-ph2021★ 3 cited
Quantum Systems at the Brink: Existence of Bound States, Critical Potentials and Dimensionality
Dirk Hundertmark, Michal Jex, Markus Lange
One of the crucial properties of a quantum system is the existence of bound states. While the existence of eigenvalues below zero, i.e., below the essential spectrum, is well under…
math-ph2021★ 4 cited
Trotter product formulae for -automorphisms of quantum lattice systems
Sven Bachmann, Markus Lange
We consider the dynamics of an infinite quantum lattice system that is generated by a local interaction. If the interaction decomposes into a finite number of terms t…