Page 230 - Strategies and Applications in Quantum Chemistry From Molecular Astrophysics to Molecular Engineer
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ELECTRONIC CHARGE DENSITY OF QUANTUM SYSTEMS 213
Appendix A
The time-evolution operator for a single electron moving in a 3D-linear potential
can be expressed in the form
where
A useful manipulation of the operator can be carried out by setting
being an unknown operator, with A differential equation for is
easily obtained by deriving with respect to t both sides of eq. (A.3):
Noting that
