# I Morse Potenials Energy eigenvalues

#### QuarkDecay

Summary
Two Morse potential like below are given. What are their energy eigenvalues?
I know the eigen value of energy in a Morse potential is
Evib= ħωo(v+ 1/2) - ħωoxe(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:

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#### hilbert2

Gold Member
The parameters $\omega_0$ and $x_e$ depend on the parameters of the particular Morse potential, so it's not the same every time. That expression of the eigenvalues is also only an approximation that works for low energy states. If the energy is high enough, it's not even a discrete spectrum anymore.

"Morse Potenials Energy eigenvalues"

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