ON THE STABILITY OF CHIRAL MOLECULES IN A NONLINEAR WAVE-MECHANICS

KOSCHANY, A and KUFFER, J and OBERMAIR, GM and PLESSNER, K (1994) ON THE STABILITY OF CHIRAL MOLECULES IN A NONLINEAR WAVE-MECHANICS. PHYSICS LETTERS A, 185 (4). pp. 412-416. ISSN 0375-9601,

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Abstract

The stationary states of a nonlinear Schrodinger equation, e.g. that by Bialynicki-Birula and Mycielski (BBM), need not be eigenfunctions of the operators that correspond to the symmetry group of the potential. As an example we treat Hund's problem: the ground state for a particle in a symmetric double well with large barrier. When the BBM nonlinearity parameter b approaches the small energy splitting delta between the symmetric and the antisymmetric states (in the linear theory), we find a rather sharp transition from defined parity to defined chirality (in the nonlinear theory), i.e. permanent localization in one of the wells. A sequence of molecules with steadily decreasing delta should exhibit this transition to stable chirality and allow an estimate of b.

Item Type: Article
Uncontrolled Keywords: OPTICAL-ACTIVITY; TIME-DEPENDENCE;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:40
URI: https://pred.uni-regensburg.de/id/eprint/53455

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