dorsal/arxiv
View SchemaChirality and helicity in terms of topological spin and topological torsion
| Authors | R. M. Kiehn |
|---|---|
| Categories | |
| ArXiv ID | physics/0101101 |
| URL | https://arxiv.org/abs/physics/0101101 |
Abstract
In this article the concept of enantiomorphism is developed in terms of topological, rather than geometrical, concepts. Chirality is to be associated with enantiomorphic pairs which induce Optical Activity, while Helicity is to be associated enantiomorphic pairs which induce a Faraday effect. Experimentally, the existence of enantiomorphic pairs is associated with the lack of a center of symmetry, which is also serves as a necessary condition for Optical Activity. However, Faraday effects may or may not require a lack of a center of symmetry. The two species of enantiomorphic pairs are distinct, as the rotation of the plane of polarization by Optical Activity is a reciprocal phenomenon, while rotation of the plane of polarization by the Faraday effect is a non-reciprocal phenomenon. From a topological viewpoint, Maxwell's electrodynamics indicates that the concept of Chirality is to be associated with a third rank tensor density of Topological Spin induced by the interaction of the 4 vector potentials {A,phi} and the field excitations {D,H}. The distinct concept of Helicity is to be associated with the third rank tensor field of Topological Torsion induced by the interaction of the 4 vector potentials and field intensities {E,B}.
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"abstract": "In this article the concept of enantiomorphism is developed in terms of\ntopological, rather than geometrical, concepts. Chirality is to be associated\nwith enantiomorphic pairs which induce Optical Activity, while Helicity is to\nbe associated enantiomorphic pairs which induce a Faraday effect.\nExperimentally, the existence of enantiomorphic pairs is associated with the\nlack of a center of symmetry, which is also serves as a necessary condition for\nOptical Activity. However, Faraday effects may or may not require a lack of a\ncenter of symmetry. The two species of enantiomorphic pairs are distinct, as\nthe rotation of the plane of polarization by Optical Activity is a reciprocal\nphenomenon, while rotation of the plane of polarization by the Faraday effect\nis a non-reciprocal phenomenon. From a topological viewpoint, Maxwell\u0027s\nelectrodynamics indicates that the concept of Chirality is to be associated\nwith a third rank tensor density of Topological Spin induced by the interaction\nof the 4 vector potentials {A,phi} and the field excitations {D,H}. The\ndistinct concept of Helicity is to be associated with the third rank tensor\nfield of Topological Torsion induced by the interaction of the 4 vector\npotentials and field intensities {E,B}.",
"arxiv_id": "physics/0101101",
"authors": [
"R. M. Kiehn"
],
"categories": [
"physics.optics",
"physics.chem-ph"
],
"title": "Chirality and helicity in terms of topological spin and topological torsion",
"url": "https://arxiv.org/abs/physics/0101101"
},
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