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:
After watching a demonstration of the Argonne-Weizmann method, Michael Kasha, a chemistry professor at Florida State Univ., Tallahassee, says he doesn't plan to change his thinking about the Born-Oppenheimer approximation, which he uses in nearly all of his spectroscopic studies.
The overall credibility of the Born-Oppenheimer approximation will not be reduced, even if it is proven to be ineffective in certain instances, he adds.
"The Born-Oppenheimer approximation is one of the most famous principles in molecular physics," Kasha says.