M. Baer et R. Englman, A MODIFIED BORN-OPPENHEIMER EQUATION - APPLICATION TO CONICAL INTERSECTIONS AND OTHER TYPES OF SINGULARITIES, Chemical physics letters, 265(1-2), 1997, pp. 105-108
In this publication is presented a new treatment of conical intersecti
on effects in molecular systems. It is shown that such effects, for a
low enough energy, can be included in the ordinary Born-Oppenheimer ap
proximation. A novel single-surface Schrodinger equation for treating
the motion of nuclei results from this treatment. A method for solving
this equation is discussed and it is shown that the solution is gover
ned by a phase factor which is only reminiscent of the Berry phase but
is different.