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Peer-reviewedCC BYJournal of the American Chemical Society

Chirality Inherent and Induced: An Algebraic Point of View.

  • James R Hamilton1,2
  • Francoise Remacle1,2
  • Raphael D Levine1,3,4
4 affiliations
  1. 1Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem91904, Israel.
  2. 2Theoretical Physical Chemistry, UR MOLSYS, University of Liege, LiègeB4000, Belgium.
  3. 3Department of Molecular and Medical Pharmacology, David Geffen School of Medicine, University of California, Los Angeles, California90095, United States.
  4. 4Department of Chemistry and Biochemistry, University of California, Los Angeles, California90095, United States.
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Abstract

IUPAC defines chirality as a geometric property of an object. Here we discuss a complementary view of chirality in algebraic terms. This enables us to extend its definition from classical to quantum mechanics. We further infer that classical chirality can only be induced in linear combinations of coherences between quantum states. A current motivation for our approach is the ability to induce chirality in an achiral system by a chiral perturbation, most notably an ultrafast light pulse. The stereodynamics of the electrons will vary rapidly with time. Pumping the electronic states of the hydrogen atom provides an explicit example which is readily visualized. The algebraic definition allows a generalization from a classical, local, to a quantum mechanical, non-local concept of chirality.

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Cite

BibTeXRIS
BibTeX
@article{hamilton2026chirality,
  title = {{Chirality Inherent and Induced: An Algebraic Point of View.}},
  author = {James R Hamilton and Francoise Remacle and Raphael D Levine},
  journal = {Journal of the American Chemical Society},
  year = {2026},
  month = oct,
  doi = {10.1021/jacs.6c13874},
  url = {https://europepmc.org/article/MED/42913548},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Chirality Inherent and Induced: An Algebraic Point of View.
AU  - James R Hamilton
AU  - Francoise Remacle
AU  - Raphael D Levine
PY  - 2026
DA  - 2026/10/01
JO  - Journal of the American Chemical Society
DO  - 10.1021/jacs.6c13874
UR  - https://europepmc.org/article/MED/42913548
AB  - IUPAC defines chirality as a geometric property of an object. Here we discuss a complementary view of chirality in algebraic terms. This enables us to extend its definition from classical to quantum mechanics. We further infer that classical chirality can only be induced in linear combinations of coherences between quantum states. A current motivation for our approach is the ability to induce chirality in an achiral system by a chiral perturbation, most notably an ultrafast light pulse. The stereodynamics of the electrons will vary rapidly with time. Pumping the electronic states of the hydrogen atom provides an explicit example which is readily visualized. The algebraic definition allows a generalization from a classical, local, to a quantum mechanical, non-local concept of chirality.
SN  - 0002-7863
SN  - 1520-5126
ER  -