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Chiral tetrahedrons as unitary quaternions: Molecules and particles under the same standard?
Author(s) -
Capozziello S.,
Lattanzi A.
Publication year - 2005
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.20613
Subject(s) - quaternion , unitary state , tetrahedron , chirality (physics) , molecule , clifford algebra , representation (politics) , unitary representation , action (physics) , quaternion algebra , physics , quantum , quantum mechanics , theoretical physics , algebra over a field , mathematics , pure mathematics , chiral anomaly , geometry , algebra representation , jordan algebra , fermion , politics , political science , nambu–jona lasinio model , law
Chiral tetrahedral molecules can be dealt with under the standard of quaternionic algebra. Specifically, noncommutativity of quaternions is a feature directly related to the chirality of molecules. We show that a quaternionic representation naturally arises out from empirical Fischer projections, and the action of the related algebra on the quantum states of molecules is studied. Analogies with fundamental particle physics are discussed. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005