Abstract
AbstractA nonlinear impurity molecule is considered. The molecule is assumed to show almost free rotations about one axis which can librate. The Born‐Oppenheimer method is applied to solve the Schrödinger equation transformed from cartesian coordinates to coordinates defined by the Eckart conditions and describing the vibrations and rotations. The Hamiltonian, the eigenvalue, and eigenfunction are expanded in power series in the Born‐Oppenheimer parameter and these expansions are inserted in the Schrödinger equation. The eigenfunction and eigenvalue expansions are calculated up to the first and the fifth terms, respectively. Some kinetic corrections caused by the libration are shown to appear in the first order term of the eigenfunction expansion and in the fourth order term of the eigenvalue expansion.
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