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Low-dimensional nanoscale systems on discrete spaces /

The area of low-dimensional quantum systems on discrete spaces is a rapidly growing research field lying at the interface between quantum theoretical developments, like discrete and q-difference equations, and tight binding superlattice models in solid-state physics. Systems on discrete spaces are p...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Papp, E.
Other Authors: Micu, Codrutza
Format: Electronic eBook
Language:Inglés
Published: Singapore ; Hackensack, NJ : World Scientific, ©2007.
Subjects:
Online Access:Texto completo
Table of Contents:
  • Lattice structures and discretizations
  • Periodic quasiperiodic and confinement potentials
  • Time discretization schemes
  • Discrete Schr·odinger equations. Typical examples
  • Discrete analogs and lie-algebraic discretizations. Realizations of Heisenberg-Weyl algebras
  • Hopping Hamiltonians. Electrons in electric field
  • Tight binding descriptions in the presence of the magnetic field
  • The Harper-Equation and electrons on the 1D ring
  • The q-symmetrized Harper equation
  • Quantum oscillations and interference effects in nanodevices
  • Conclusions.