Quantum mechanical considerations on algebraic structure of central molecular chirality

Abstract

The chiral algebra of tetrahedral molecules, derived from Fischer 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.

16 pages

References in corpus (2)

• Algebraic structure of central molecular chirality starting from Fischer projections
• Geometrical approach to central molecular chirality: a chirality selection rule

Cited by in corpus (5)

• Spiral Galaxies as Enantiomers: Chirality, an Underlying Feature in Chemistry and Astrophysics
• A Langevin canonical approach to the dynamics of two level systems. I. Populations and coherences
• Chiral Tetrahedrons as Unitary Quaternions: Molecules and Particles Under the Same Standard?
• From Fischer projections to quantum mechanics of tetrahedral molecules: new perspectives in chirality
• Chiral Structures Under the Standard of Orthogonal Groups