dorsal/arxiv
View SchemaChiral Structures Under the Standard of Orthogonal Groups
| Authors | Salvatore Capozziello, Alessandra Lattanzi |
|---|---|
| Categories | |
| ArXiv ID | physics/0701229 |
| URL | https://arxiv.org/abs/physics/0701229 |
Abstract
General features of microscopic and macroscopic chiral structures can be discussed under the standard of orthogonal group theory. Configuration space of systems, not physical space, is taken into account. This change of perspective allows to overcome traditional shortcomings related to true and false chirality, statistical realization of mirror images, classification of objects as more or less chiral. From this viewpoint, a chiral object is a physical system whose configurations are described by the O(N) algebra in an abstract N-dimensional space. A quantum mechanical interpretation is straightforward due to the fact that combinations of chiral states give rise to parity states which can be interpreted as energy eigenstates.
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"abstract": "General features of microscopic and macroscopic chiral structures can be\ndiscussed under the standard of orthogonal group theory. Configuration space of\nsystems, not physical space, is taken into account. This change of perspective\nallows to overcome traditional shortcomings related to true and false\nchirality, statistical realization of mirror images, classification of objects\nas more or less chiral. From this viewpoint, a chiral object is a physical\nsystem whose configurations are described by the O(N) algebra in an abstract\nN-dimensional space. A quantum mechanical interpretation is straightforward due\nto the fact that combinations of chiral states give rise to parity states which\ncan be interpreted as energy eigenstates.",
"arxiv_id": "physics/0701229",
"authors": [
"Salvatore Capozziello",
"Alessandra Lattanzi"
],
"categories": [
"physics.chem-ph",
"quant-ph"
],
"title": "Chiral Structures Under the Standard of Orthogonal Groups",
"url": "https://arxiv.org/abs/physics/0701229"
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