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Remarks on dynamical and noncompact groups in physics and chemistry
Author(s) -
SinanoǦlu Oktay
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560070707
Subject(s) - harmonic oscillator , degeneracy (biology) , physics , hydrogen atom , symmetry (geometry) , theoretical physics , representation (politics) , atom (system on chip) , group theory , spectroscopy , quantum mechanics , harmonic , atomic physics , group (periodic table) , classical mechanics , mathematics , pure mathematics , geometry , bioinformatics , politics , political science , computer science , law , biology , embedded system
Abstract In contrast to the usual degeneracy or symmetry groups, the new dynamical groups generate all the energy levels and spectrum of a system in one infinite‐dimensional representation. The origin and nature of these groups as they came up first in high‐energy physics, then in atomic physics, are outlined. The known dynamical groups, e.g., for the rigid rotor, the harmonic oscillator, and the hydrogen atom, are displayed. Possible applications in molecular spectroscopy are discussed.