Task: Text Categorization
Input (English): [AR] Beginning from the Hamiltonian form of a particular eigenfunction of its related equation, the application of the adiabatic principle is a crucial step in its derivation as it leaves a residual electron-phonon interaction. It is an essential assumption of a rule that explains the intensity of vibronic transitions, the Frank-Condon principle. It assumes that nuclear motion is negligible as compared with electron motion and thus separates the wavefunction of the molecule into that of the nuclei and electrons. For 10 points, name this doubly-eponymous approximation useful in solving the time-independent Schrodinger Equation.
Output (English): Science