Given a Gaussian wave function: Y(x) = (T/a)-1/4e-ax²/2 Where a is a positive constant 1) Find the normalization (if the wave function is not normalized) 2) Determine the mean value of the position x of the particle : I 3) Determine the mean value of x? : x2 4) Determine the value of Ax = /(x²) – (x)²

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Given a Gaussian wave function:
Y(x) = (1/a)-1/4e-ax²/2
Where a is a positive constant
1) Find the normalization (if the wave function is not normalized)
2) Determine the mean value of the position x of the particle : x
3) Determine the mean value of x? : x?
4) Determine the value of Ax = /(x²) – (x)²
Transcribed Image Text:Given a Gaussian wave function: Y(x) = (1/a)-1/4e-ax²/2 Where a is a positive constant 1) Find the normalization (if the wave function is not normalized) 2) Determine the mean value of the position x of the particle : x 3) Determine the mean value of x? : x? 4) Determine the value of Ax = /(x²) – (x)²
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