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OverviewGroup 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. Full Product DetailsAuthor: Konstantin Kikoin , Mikhail Kiselev , Yshai AvishaiPublisher: Springer Verlag GmbH Imprint: Springer Verlag GmbH Edition: 2012 Dimensions: Width: 15.60cm , Height: 2.00cm , Length: 23.40cm Weight: 0.717kg ISBN: 9783211997239ISBN 10: 3211997237 Pages: 351 Publication Date: 02 December 2011 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1 Introduction.- 2 Hidden and Dynamical Symmetries of Atoms and Molecules.- 3 Nanostructures as Artificial Atoms and Molecules.- 4 Dynamical Symmetries in the Kondo Effect.- 5 Dynamical Symmetries in Molecular Electronics.- 6 Dynamical Symmetries and Spectroscopy of Quantum Dots.- 7 Dynamical Symmetries and Non-Equilibrium Electron Transport.- 8 Tunneling Through Moving Nanoobjects.- 9 Mathematical Instrumentation.- 10 Conclusions and Prospects.- Index.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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