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Chirality Measures for Vectors, Matrices, Operators and Functions
Author(s) -
Dryzun Chaim,
Avnir David
Publication year - 2011
Publication title -
chemphyschem
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.016
H-Index - 140
eISSN - 1439-7641
pISSN - 1439-4235
DOI - 10.1002/cphc.201000715
Subject(s) - chirality (physics) , generalization , measure (data warehouse) , rotation (mathematics) , computational chemistry , physics , mathematics , chemistry , computer science , mathematical analysis , quantum mechanics , geometry , chiral symmetry breaking , nambu–jona lasinio model , quark , database
We introduce the general form of the continuous chirality measure (CCM), which is a quantitative estimation of the degree of chirality for a given object. The generalization makes it possible to calculate the chirality content of any mathematical description of a system by vectors, matrices, operators and functions. Another advantage of the new methodology is the ability to provide analytical expressions for the chirality measures. We apply it for specific cases, including vectors and molecules (amino acids), rotation matrices (metamaterials design), rotational potential operators (representing, for example, parity violation), and functions (the electronic structure of annulenes).