Low-dimensional nanoscale systems on discrete spaces /
Papp, E.
Low-dimensional nanoscale systems on discrete spaces / Erhardt Papp, Codrutza Micu. - Singapore ; Hackensack, NJ : World Scientific, ©2007. - 1 online resource (xiii, 262 pages) : illustrations
Includes bibliographical references (pages 241-257) and index.
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.
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 promising candidates for applications in several areas. Indeed, the dynamic localization of electrons on the 1D lattice under the influence of an external electric field serves to describe time-dependent transport in quantum wires, linear optical absorption spectra, and the generation of higher harmo.
9789812770615 (electronic bk.) 9812770615 (electronic bk.) 1281121738 9781281121738
2007300078
Quantum theory.
Schrödinger equation.
Nanoelectromechanical systems.
Quantum Theory
Théorie quantique.
Équation de Schrödinger.
Nanosystèmes électromécaniques.
SCIENCE--Physics--Quantum Theory.
Nanoelectromechanical systems.
Quantum theory.
Schrödinger equation.
Electronic books.
Electronic books.
QC174.12 / .P36 2007eb
530.12
Low-dimensional nanoscale systems on discrete spaces / Erhardt Papp, Codrutza Micu. - Singapore ; Hackensack, NJ : World Scientific, ©2007. - 1 online resource (xiii, 262 pages) : illustrations
Includes bibliographical references (pages 241-257) and index.
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.
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 promising candidates for applications in several areas. Indeed, the dynamic localization of electrons on the 1D lattice under the influence of an external electric field serves to describe time-dependent transport in quantum wires, linear optical absorption spectra, and the generation of higher harmo.
9789812770615 (electronic bk.) 9812770615 (electronic bk.) 1281121738 9781281121738
2007300078
Quantum theory.
Schrödinger equation.
Nanoelectromechanical systems.
Quantum Theory
Théorie quantique.
Équation de Schrödinger.
Nanosystèmes électromécaniques.
SCIENCE--Physics--Quantum Theory.
Nanoelectromechanical systems.
Quantum theory.
Schrödinger equation.
Electronic books.
Electronic books.
QC174.12 / .P36 2007eb
530.12