Abstract
A split diabatic representation is proposed as a technique for generating diabatic potential curves with the maximal physical content and favorable computational characteristics. This method is a mixed adiabatic-diabatic representation, in which smoothly varying couplings appear in both the kinetic- and potential-energy matrices. It requires the solution of the first-order differential equation for the transformation matrix of the standard strict diabatic representation for which an efficient numerical scheme is also presented. A transformation propagator, akin to the Cayley-Hamiltonian time evolution operator, is employed to obtain the diabatic states while preserving unitarity. Several examples illustrate the advantages of the proposed split diabatic representation.
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