Question: Verify that 1(x) = A1xeax2 is the wave function corresponding to the first excited state of a harmonic oscillator by substituting it into the time-independent

Verify that ψ1(x) = A1xe–ax2 is the wave function corresponding to the first excited state of a harmonic oscillator by substituting it into the time-independent Schrödinger equation and solving for a and E.

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