This work considers the case of degenerate vibronic coupling of N states all at one single;point. For this case we first derived the extended Single-state Born-Oppenheimer equation [M. Baer and R. Englman, Chem. Phys. Lett. 265, 105 (1997)] and then showed that such a system, Like the two-state system, can be described in terms of a single phase factor and is characterized by a well-defined geometrical phase. (C) 1998 American Institute of Physics. [References: 25]
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