Consequently, in the next subsection, we consider two important approximations of the Schrodinger equation, namely, the adiabatic and the Born-Oppenheimer approximations, which aim to reduce such a complexity.
Adiabatic and Born-Oppenheimer Approximations. The above-mentioned system of differential equations is too complex to be solved directly.
This equation may be further simplified if the adiabatic and the Born-Oppenheimer approximations are enforced: