[scouttryxx]

hi all. been stuck on this problem for a week now, and i still can't make head nor tail of it.
admittedly it involves maths

how do i derive G(v) = w_e (v + 1/2) - w_ex_e(v +1/2)²

and v (wavenumber) = T_e' - T_e'' + G(v') - G(v'')

to give w'_e - 2w_ex'_e(v'+1)?

how is it possible to derive an equations that have parameters in both excited state AND ground state?