Crystalline Conductance and Absolutely Continuous Spectrum of 1D Samples
Abstract
We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the crystalline Landauer-Büttiker conductance of the associated finite samples.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- June 2016
- DOI:
- 10.1007/s11005-016-0844-8
- arXiv:
- arXiv:1512.00099
- Bibcode:
- 2016LMaPh.106..787B
- Keywords:
-
- Mathematical Physics;
- Mathematics - Spectral Theory;
- Quantum Physics
- E-Print:
- doi:10.1007/s11005-016-0844-8