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Quantum mechanical considerations on the algebraic structure of central molecular chirality
Author(s) -
Capozziello Salvatore,
Lattanzi Alessandra
Publication year - 2004
Publication title -
chirality
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.43
H-Index - 77
eISSN - 1520-636X
pISSN - 0899-0042
DOI - 10.1002/chir.20006
Subject(s) - chirality (physics) , eigenvalues and eigenvectors , hamiltonian (control theory) , chemistry , quantum mechanics , quantum , tetrahedron , algebraic structure , algebraic number , parity (physics) , physics , chiral anomaly , pure mathematics , mathematics , crystallography , mathematical optimization , mathematical analysis , fermion , nambu–jona lasinio model
The chiral algebra of tetrahedral molecules, derived from Fischer's projections, is discussed in the framework of quantum mechanics. A “quantum chiral algebra” is obtained whose operators, acting as rotations or inversions, commute with the Hamiltonian of the system. It is shown that energy and chirality eigenstates are strictly related through the Heisenberg relations, while chirality operators “conserve” parity eigenstates. Chirality 16: 162–167, 2004 . © 2004 Wiley‐Liss, Inc.