A 1D harmonic oscillator wavefunction is =
−
. (i) show that satisfies the
Schrṏdinger equation. (ii) Find the value of A, b and total energy. (iii) Is this a ground
or first excited state.
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For a diatomic molecule, there is only one vibrational mode, so there will be only a single set of vibrational wavefunctions with associated energies for this system.
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