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Modelling of Quantum Networks

Mathematical Physics 2007-05-23 v2 math.MP Spectral Theory

Abstract

We develop the analytic perturbation technique on the absolutely continuous spectrum and calculate the Scattering matrix for the Schr\"{o}dinger operator on the Quantum Network based on the Dirichlet-to Neumann map of an Intermediate operator.

Keywords

Cite

@article{arxiv.math-ph/0312038,
  title  = {Modelling of Quantum Networks},
  author = {Anna Mikhailova and Boris Pavlov and Lev Prokhorov},
  journal= {arXiv preprint arXiv:math-ph/0312038},
  year   = {2007}
}

Comments

49 pages, revtex