Instability of tunneling and the concept of molecular structure in quantum mechanics: The case of pyramidal molecules and the enantiomer problem

P. Claverie and G. Jona-Lasinio
Phys. Rev. A 33, 2245 – Published 1 April 1986
PDFExport Citation

Abstract

In this paper we propose a possible explanation of the fact that certain molecules exhibiting symmetric configurations are localized in one of them, instead of being delocalized as predicted by a naive application of quantum mechanics. Our mechanism is based upon the instability, in the semiclassical regime, of delocalized states under small perturbations (among which we consider the reaction field due to the environment). This mechanism predicts, for example, a different behavior for NH3 and AsH3 (delocalized ground state in the former case, localized ground state in the latter case), and similar to the case of AsH3 we expect localized states in the case of optical isomers, in agreement with the empirical evidence. Possible consequences concerning the understanding of the ‘‘classical limit’’ in general are briefly outlined.

  • Received 3 September 1985

DOI:https://doi.org/10.1103/PhysRevA.33.2245

©1986 American Physical Society

Authors & Affiliations

P. Claverie

  • Dynamique des Interactions Moléculaires, Université Pierre et Marie Curie (Paris VI), Tour 22, 4 place Jussieu, 75230 Paris Cedex 05, France

G. Jona-Lasinio

  • Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie (Paris VI) Tour 16, 1er étage, 4 place Jussieu, 75230 Paris Cedex 05, France

References (Subscription Required)

Click to Expand
Issue

Vol. 33, Iss. 4 — April 1986

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×