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Dynamical Symmetries for Nanostructures - Implicit Symmetries in Single-Electron Transport Through Real and Artificial Molecules (Hardcover, 2012)
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Dynamical Symmetries for Nanostructures - Implicit Symmetries in Single-Electron Transport Through Real and Artificial Molecules (Hardcover, 2012)
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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.
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