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.

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