2026-10-14T07:45:39Z https://api.figshare.com/v2/oai

oai:figshare.com:article/34024604 2026-09-29T14:42:28Z category_146 category_915 category_13 category_14 category_21 category_24 category_734 category_931 category_811 portal_63 item_type_6 month_year_09_2026

Chirality Inherent and Induced: An Algebraic Point of View James R. Hamilton (21215765) Francoise Remacle (635900) Raphael D. Levine (406043) Space Science Physical Sciences not elsewhere classified Genetics Molecular Biology Biotechnology Evolutionary Biology Biological Sciences not elsewhere classified Information Systems not elsewhere classified Mathematical Sciences not elsewhere classified ultrafast light pulse hydrogen atom provides algebraic definition allows algebraic terms algebraic point vary rapidly readily visualized quantum states quantum mechanics quantum mechanical linear combinations geometric property explicit example enables us electronic states current motivation complementary view chiral perturbation achiral system 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. 2026-09-29T00:00:00Z Text Journal contribution 10.1021/jacs.6c13874.s001 https://figshare.com/articles/journal_contribution/Chirality_Inherent_and_Induced_An_Algebraic_Point_of_View/34024604 CC BY-NC 4.0