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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.
Show that the following wavefunction provided satisfies the one-dimensional time-independent Schrodinger ¨
equation of this system, for a certain value of E.

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

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