Interfaces of discrete systems—Spectral and index properties
Abstract
We develop a general mathematical framework to study mixtures of different physical systems brought together on a discrete interface. Adapting work by Măntoiu et al., we use an operator algebraic framework such that the bulk systems at infinity of the mixture are recovered via the spatial asymptotics of the operators on the interface. Fixing an asymptotics and interface algebra, we show how the essential spectrum and topological properties can be inferred from the bulk systems at infinity. By working with Hilbert C*-modules, we can further refine these results with respect to an ambient algebra of observables.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Quantum many-body systems
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Volume
- 67
- Issue
- 4
- Publication date
- 1 April 2026
- Language
- EN