Overview
- Group theory complemented with the concept of dynamical symmetry
- Introduces and applies the concept of dynamical symmetry for systems out of equilibrium
- Includes supplementary material: sn.pub/extras
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Group theoretical concepts elucidate fundamental physical phenomena, including excitation spectra of quantum systems and complex geometrical structures such as molecules and crystals. These concepts are extensively covered in numerous textbooks. The aim of the present monograph is to illuminate more subtle aspects featuring group theory for quantum mechanics, that is, the concept of dynamical symmetry. Dynamical symmetry groups complement the conventional groups: their elements induce transitions between states belonging to different representations of the symmetry group of the Hamiltonian. Dynamical symmetry appears as a hidden symmetry in the hydrogen atom and quantum rotator problem, but its main role is manifested in nano and meso systems. Such systems include atomic clusters, large molecules, quantum dots attached to metallic electrodes, etc. They are expected to be the building blocks of future quantum electronic devices and information transmitting algorithms. Elucidation of the electronic properties of such systems is greatly facilitated by applying concepts of dynamical group theory.
Authors and Affiliations
Bibliographic Information
Book Title: Dynamical Symmetries for Nanostructures
Book Subtitle: Implicit Symmetries in Single-Electron Transport Through Real and Artificial Molecules
Authors: Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
DOI: https://doi.org/10.1007/978-3-211-99724-6
Publisher: Springer Vienna
eBook Packages: Chemistry and Materials Science, Chemistry and Material Science (R0)
Copyright Information: Springer-Verlag / Wien 2012
Hardcover ISBN: 978-3-211-99723-9Published: 02 December 2011
eBook ISBN: 978-3-211-99724-6Published: 01 December 2011
Edition Number: 1
Number of Pages: XIII, 351
Number of Illustrations: 129 b/w illustrations
Topics: Nanotechnology, Quantum Physics, Materials Science, general, Mathematical Methods in Physics, Condensed Matter Physics