Exact electron states in 1D (quasi) periodic arrays of deltapotentials
Abstract
Exact oneelectron eigenstates in finite parts of 1D periodic and Fibonacci chains of attractive and repulsive delta potentials are computed and analyzed. Bloch and bound state boundary conditions are related in terms of transfer matrices. Scenarios of positive and negative energy are distinguished. The dependence on the potential strength parameter is analyzed. The scattering matrix is computed. Implications for the interpretation of band germs in quasiperiodic chains are discussed.
 Publication:

arXiv eprints
 Pub Date:
 March 1999
 arXiv:
 arXiv:mathph/9903009
 Bibcode:
 1999math.ph...3009K
 Keywords:

 Mathematical Physics;
 Mathematics  Mathematical Physics
 EPrint:
 33 pages, see also http://homepages.unituebingen.de/peter.kramer/, to be published in Proc. Int. School Les Houches 1998