Low-dimensional nanoscale systems on discrete spaces / Erhardt Papp, Codrutza Micu.

Format:

Book

Author/Creator:

Papp, E.

Contributor:

Micu, Codrutza.

Language:

English

Subjects (All):

Quantum theory.

Schrödinger equation.

Nanoelectromechanical systems.

Physical Description:

1 online resource (277 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2007.

Language Note:

English

Summary:

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

Contents:

Preface; Contents; 1. Lattice Structures and Discretizations; 2. Periodic Quasiperiodic and Confinement Potentials; 3. Time Discretization Schemes; 4. Discrete Schrodinger Equations. Typical Examples; 5. Discrete Analogs and Lie-Algebraic Discretizations. Realizations of Heisenberg-Weyl Algebras; 6. Hopping Hamiltonians. Electrons in Electric Field; 7. Tight Binding Descriptions in the Presence of the Magnetic Field; 8. The Harper-Equation and Electrons on the 1D Ring; 9. The q-Symmetrized Harper Equation; 10. Quantum Oscillations and Interference Effects in Nanodevices; 11. Conclusions

Appendix A Dealing with polynomials of a discrete variableAppendix B The functional Bethe-ansatz solution; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 241-257) and index.

ISBN:

9786611121730

9781281121738

1281121738

9789812770615

9812770615

OCLC:

476099822