227 citations · 968 across the 42 of their papers we have counts for
8 papers · 1 filter
Transforming antiunitary symmetries to a normal form
Terry A. Loring
We look at explicit ways to bring one or two antiunitary symmetries into a standard form via unitary conjugation. We carefully reproduce Wigner's proof in two special cases, where…
Local topology for periodic Hamiltonians and fuzzy tori
Nora Doll, Terry Loring, Hermann Schulz-Baldes
A variety of local index formulas is constructed for quantum Hamiltonians with periodic boundary conditions. All dimensions of physical space as well as many symmetry constraints a…
Locality of the windowed local density of states
Terry A. Loring, Jianfeng Lu, Alexander B. Watson
We introduce a generalization of local density of states which is "windowed" with respect to position and energy, called the windowed local density of states (wLDOS). This definiti…
A Guide to the Bott Index and Localizer Index
Terry A. Loring
The Bott index is inherently global. The pseudospectal index is inherently local, and so now the preferred name is the localizer index. We look at these on a rather standard model…
The spectral localizer for even index pairings
Terry Loring, Hermann Schulz-Baldes
Even index pairings are integer-valued homotopy invariants combining an even Fredholm module with a -class specified by a projection. Numerous classical examples are known fro…
Spectral flow argument localizing an odd index pairing
Terry Loring, Hermann Schulz-Baldes
An odd Fredholm module for a given invertible operator on a Hilbert space is specified by an unbounded so-called Dirac operator with compact resolvent and bounded commutator with t…