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- Two Morse potential like below are given. What are their energy eigenvalues?

I know the eigen value of energy in a Morse potential is

E

but is this the same for every Morse potential, given that the masses μ of the diatomic molecules are the same?

The two potentials are these:

E

_{vib}= ħω_{o}(v+ 1/2) - ħω_{o}x_{e}(v+ 1/2)^{2}but is this the same for every Morse potential, given that the masses μ of the diatomic molecules are the same?

The two potentials are these: