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A Quantum Harmonic Oscillator, with potential energy V(x) = ½ mω₀²x², where m is the mass of the particle in the potential, and ω₀ is a constant.

Determine the value of the quantum number n for the wavefunction provided. Explain how the result is obtained, as well as state a numerical value.

1/4
(3)
4а
mwo
V(x)
(2ax? – 1) e-a² /2
where
а —

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