The Schrödinger Group in Molecular Quantum Mechanics: Beyond the Born-Oppenheimer Approximation

Andrzej Witkowski (1)

1 Polish Academy of Arts and Sciences

The Galillei transformation invariant form of molecular quantum mechanics is obtained which is not restricted by the Born-Oppenheimer approximation. The molecular Hamiltonian takes then the form of a linear combination of operators of the Schrödinger group which define the new space-time molecular symmetry properties (e.g. helicity). The puzzling homochirality of the hydrogen bonded biomolecular systems appears then as a simple result of the molecular space-time symmetry.

Mots clés: Physical Sciences

Domaines: Matière Condensée [cond-mat]

Andrzej Witkowski. The Schrödinger Group in Molecular Quantum Mechanics: Beyond the Born-Oppenheimer Approximation. Molecular Physics, 2011, pp.1. ⟨10.1080/00268976.2011.617319⟩. ⟨hal-00742697⟩