LOW-DIMENSIONAL NANOSCALE SYSTEMS ON DISCRETE SPACES

LOW-DIMENSIONAL NANOSCALE SYSTEMS ON DISCRETE SPACES

CONTENTS


FRONT MATTER Erhardt Papp and Codrutza Micu	i
Lattice Structures and Discretizations Erhardt Papp and Codrutza Micu	1
Periodic Quasiperiodic and Confinement Potentials Erhardt Papp and Codrutza Micu	17
Time Discretization Schemes Erhardt Papp and Codrutza Micu	41
Discrete Schrödinger Equations: Typical Examples Erhardt Papp and Codrutza Micu	57
Discrete Analogs and Lie-Algebraic Discretizations: Realizations of Heisenberg-Weyl Algebras Erhardt Papp and Codrutza Micu	79
Hopping Hamiltonians: Electrons in Electric Field Erhardt Papp and Codrutza Micu	99
Tight Binding Descriptions in the Presence of the Magnetic Field Erhardt Papp and Codrutza Micu	133
The Harper-Equation and Electrons on the 1D Ring Erhardt Papp and Codrutza Micu	151
The q-Symmetrized Harper Equation Erhardt Papp and Codrutza Micu	175
Quantum Oscillations and Interference Effects in Nanodevices Erhardt Papp and Codrutza Micu	195
Conclusions Erhardt Papp and Codrutza Micu	225
BACK MATTER Erhardt Papp and Codrutza Micu	231
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