Electronic eigenfunction

The majority of photochemistry of course deals with nondegenerate states, and here vibronic coupling effects aie also found. A classic example of non-Jahn-Teller vibronic coupling is found in the photoelection spectrum of butatiiene, formed by ejection of electrons from the electronic eigenfunctions [approximately the molecular orbitals). Bands due to the ground and first... 

The positions of the (—1) terms in the diagonal indicate which of the electronic eigenfunction flips sign upon tracing the closed contour under... 

One way to eliminate the multivaluedness of the electronic eigenfunctions is by multiplying it by a phase factor [15], namely. 

The fact that the electronic eigenfunctions aie modified as presented in Eq. (A.5) has a direct effect on the non-adiabatic coupling terms as introduced in Eqs. (8a) and (8b). In particular, we consider the term rJi (which for the case of real eigenfunctions is identically zero) for the case presented in Eq. (A.5) ... 

Subtracting Eq. (B.9b) from Eq. (B.9a) and assuming that the electronic eigenfunctions are analytic functions with respect to the nuclear coordinates yields the following result ... 

It has been found that the strength and direction of an electron-pair bond formed by an atom are determined essentially by one electronic eigenfunction. The bond tends to be formed in the direction in which... 

The time-dependent wave function, t /(r, R, t e(t)), can be expanded in terms of the field-dependent adiabatic electronic eigenfunctions of Eq. (25) ... 

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