Internal Symmetries and Additional Quantum Numbers for Nanoparticles

• Autorzy: V.G. Yarzhemsky
• Języki publikacji: EN

Abstrakty

EN

Wavefunctions of symmetrical nanoparticles are considered making use of induced representation method. It is shown that when, at the same total symmetry, the order of local symmetry group decreases, additional quantum numbers are required for complete labelling of electron states. It is shown that the labels of irreducible representations of intermediate subgroups can be used for complete classification of states in the case of repeating IRs in symmetry adapted linear combinations. The intermediate symmetry approach is extended to singlet and triplet two-electron states making use of Mackey theorem on symmetrized squares of induced representations.

Słowa kluczowe

EN

nanoparticles; group theory; Mackey theorem; quantum numbers; electron structure

• Wydawca: De Gruyter Open
• Czasopismo: Nanoscale Systems: Mathematical Modeling, Theory and Applications
• Rocznik: 2013
• Tom: 2
• Strony: 96-106

Daty

otrzymano

2013-02-13

poprawiono

2013-04-05

zaakceptowano

2013-04-05

online

2013-05-06

Twórcy

autor

V.G. Yarzhemsky

• Kurnakov Institute of General
  and Inorganic Chemistry , 31, Leninsky,
  119991 Moscow, Russia
• Moscow Institute of Physics and
  Technology, 9, Institutskii per.,141700,
  Dolgoprudny, Moscow Region, Russia

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Identyfikatory

DOI

10.2478/nsmmt-2013-0006