Dynamical Symmetries for Nanostructures

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

  • Konstantin Kikoin
  • Mikhail Kiselev
  • Yshai Avishai

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 1-4
  3. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 5-47
  4. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 49-105
  5. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 107-196
  6. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 197-231
  7. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 233-244
  8. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 245-281
  9. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 283-307
  10. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 309-328
  11. Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai
    Pages 329-333
  12. Back Matter
    Pages 335-351

About this book

Introduction

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.

Keywords

Nanostructures Symmetries dynamical symmetry group theory

Authors and affiliations

  • Konstantin Kikoin
    • 1
  • Mikhail Kiselev
    • 2
  • Yshai Avishai
    • 3
  1. 1.Tel-AvivIsrael
  2. 2.f. Theoretical PhysicsThe Abdus Salam Intl. CenterTriesteItaly
  3. 3.Beer ShevaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-211-99724-6
  • Copyright Information Springer Vienna 2012
  • Publisher Name Springer, Vienna
  • eBook Packages Chemistry and Materials Science
  • Print ISBN 978-3-211-99723-9
  • Online ISBN 978-3-211-99724-6
  • About this book