000 03377nam a22005295i 4500
001 978-3-211-99724-6
003 DE-He213
005 20140220083254.0
007 cr nn 008mamaa
008 111129s2012 au | s |||| 0|eng d
020 _a9783211997246
_9978-3-211-99724-6
024 7 _a10.1007/978-3-211-99724-6
_2doi
050 4 _aT174.7
050 4 _aTA418.9.N35
072 7 _aTBN
_2bicssc
072 7 _aTEC027000
_2bisacsh
072 7 _aSCI050000
_2bisacsh
082 0 4 _a620.115
_223
100 1 _aKikoin, Konstantin.
_eauthor.
245 1 0 _aDynamical Symmetries for Nanostructures
_h[electronic resource] :
_bImplicit Symmetries in Single-Electron Transport Through Real and Artificial Molecules /
_cby Konstantin Kikoin, Mikhail Kiselev, Yshai Avishai.
264 1 _aVienna :
_bSpringer Vienna,
_c2012.
300 _aXIII, 351p. 129 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1 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.
520 _aGroup 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.
650 0 _aQuantum theory.
650 0 _aMathematical physics.
650 0 _aMaterials.
650 0 _aNanotechnology.
650 1 4 _aMaterials Science.
650 2 4 _aNanotechnology.
650 2 4 _aQuantum Physics.
650 2 4 _aMaterials Science, general.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aCondensed Matter Physics.
700 1 _aKiselev, Mikhail.
_eauthor.
700 1 _aAvishai, Yshai.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783211997239
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-211-99724-6
912 _aZDB-2-CMS
999 _c101757
_d101757