N ov 2 00 3 Spectral Modelling of Quantum Superlattice and Application to the Mott-Peierls Simulated Transitions

@inproceedings{Dmitrieva2003NO2,
  title={N ov 2 00 3 Spectral Modelling of Quantum Superlattice and Application to the Mott-Peierls Simulated Transitions},
  author={L. A. Dmitrieva and Yu. A. Kuperin},
  year={2003}
}
A local perturbation theory for the spectral analysis of the Schrödinger operator with two periodic potentials whose periods are commensurable has been constructed. It has been shown that the perturbation of the periodic 1D Hamiltonian by an additional small periodic potential leads to the following spectral deformation: all gaps in the spectrum of the… CONTINUE READING