In this question we will consider the quantum harmonic oscillator. The wavefunction of the first excited state of this system can be written as (x, t) = 2A₁√axe-ax²/2e-3iwot/2 where a = mwo/h, and A₁ and wo are real constants. 1 a) Calculate the value of the normalization constant A₁, looking up the values of any integrals that you require. State the physical meaning of any conditions you use.

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In this question we will consider the quantum harmonic oscillator. The wavefunction of the first
excited state of this system can be written as
(x, t) = 2A₁√axe-a
where a = mwo/h, and A₁ and wo are real constants.
-ax²/2
e-3iwot/2
a) Calculate the value of the normalization constant A₁, looking up the values of any integrals
that you require. State the physical meaning of any conditions you use.
Transcribed Image Text:In this question we will consider the quantum harmonic oscillator. The wavefunction of the first excited state of this system can be written as (x, t) = 2A₁√axe-a where a = mwo/h, and A₁ and wo are real constants. -ax²/2 e-3iwot/2 a) Calculate the value of the normalization constant A₁, looking up the values of any integrals that you require. State the physical meaning of any conditions you use.
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