Dynamical Symmetries for Nanostructures

Implicit Symmetries in Single-Electron Transport Through Real and Artificial Molecules

Authors: Kikoin, Konstantin, Kiselev, Mikhail, Avishai, Yshai

  • The concept of dynamical symmetry complements group theory
  • Introduces and applies the concept of dynamical symmetry for systems that are out of equilibrium
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eBook $159.00
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  • ISBN 978-3-211-99724-6
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Hardcover $209.00
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  • ISBN 978-3-211-99723-9
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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.

Table of contents (10 chapters)

  • Introduction

    Kikoin, Konstantin (et al.)

    Pages 1-4

  • Hidden and Dynamical Symmetries of Atoms and Molecules

    Kikoin, Konstantin (et al.)

    Pages 5-47

  • Nanostructures as Artificial Atoms and Molecules

    Kikoin, Konstantin (et al.)

    Pages 49-105

  • Dynamical Symmetries in the Kondo Effect

    Kikoin, Konstantin (et al.)

    Pages 107-196

  • Dynamical Symmetries in Molecular Electronics

    Kikoin, Konstantin (et al.)

    Pages 197-231

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-3-211-99724-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-3-211-99723-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Symmetries for Nanostructures
Book Subtitle
Implicit Symmetries in Single-Electron Transport Through Real and Artificial Molecules
Authors
Copyright
2012
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag / Wien
eBook ISBN
978-3-211-99724-6
DOI
10.1007/978-3-211-99724-6
Hardcover ISBN
978-3-211-99723-9
Edition Number
1
Number of Pages
XIII, 351
Number of Illustrations and Tables
129 b/w illustrations
Topics