4.9k citations · 14.4k across the 107 of their papers we have counts for
12 papers · 1 filter
Convergence of Dynamics on Inductive Systems of Banach Spaces
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner
Many features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some limiting situation. Examples are phase transitions in the the…
Self-Adjointness of Toeplitz Operators on the Segal-Bargmann Space
Wolfram Bauer, Lauritz van Luijk, Alexander Stottmeister +1
We prove a new criterion that guarantees self-adjointness of Toeplitz operator with unbounded operator-valued symbols. Our criterion applies, in particular, to symbols with Lipschi…
Chiral Floquet systems and quantum walks at half period
C. Cedzich, T. Geib, A. H. Werner +1
We classify chiral symmetric periodically driven quantum systems on a one-dimensional lattice. The driving process is local, can be continuous or discrete in time, and we assume a…
Quantum walks: Schur functions meet symmetry protected topological phases
C. Cedzich, T. Geib, F. A. Grünbaum +3
This paper uncovers and exploits a link between a central object in harmonic analysis, the so-called Schur functions, and the very hot topic of symmetry protected topological phase…
Unbounded generators of dynamical semigroups
Inken Siemon, Alexander S. Holevo, Reinhard F. Werner
Dynamical semigroups have become the key structure for describing open system dynamics in all of physics. Bounded generators are known to be of a standard form, due to Gorini, Koss…
Schwartz operators
Michael Keyl, Jukka Kiukas, Reinhard F. Werner
In this paper we introduce Schwartz operators as a non-commutative analog of Schwartz functions and provide a detailed discussion of their properties. We equip them in particular w…