Description 
1 online resource (xiii, 351 pages) : illustrations 
Contents 
Hidden and dynamical symmetries of atoms and molecules  Nanostructures as artificial atoms and molecules  Dynamical symmetries in the Kondo effect  Dynamical symmetries in molecular electornics  Dynamical symmetries and spectroscopy of quantum dots  Dynamical symmetries and nonequilibrium electron transport  Tunneling through moving nanoobjects  Mathematical instrumentation  Conclusion and prospects 
Summary 
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 
Analysis 
Quantum theory 

Mathematical physics 

Materials 

Nanotechnology 

Materials Science 

Quantum Physics 

Materials Science, general 

Mathematical Methods in Physics 

Condensed Matter Physics 
Bibliography 
Includes bibliographical references (pages 341351) and index 
Subject 
Nanostructures.


Symmetry (Physics)

Form 
Electronic book

Author 
Kiselev, Mikhail


Avishai, Yshai.

ISBN 
3211997245 (electronic bk.) 

9783211997246 (electronic bk.) 
