Hi, I'm stuck in this Griffiths' Introduction to QM problem (#2.8)(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

A particle in the infinite square well has the initial wave function

[itex]\Psi(x,0) = Ax(a-x)[/itex]

Normalize[itex]\Psi(x,0)[/itex]

2. Relevant equations

[itex] \int_{0}^{a} |\Psi(x)|^2 dx = 1 [/itex]

3. The attempt at a solution

Haha, this is supposed to be the least of my problems but... doing

[itex] A^2 \int_{0}^{a} x^2 (a-x)^2 dx = 1 [/itex]

gives us [itex] A = \sqrt{\frac{30}{a^5}} [/itex].

When the correct answer is [itex] A = \sqrt{\frac{2}{a}} [/itex]. I have no clue what I did wrong...

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# (Quantum Mechanics) Infinite Square Well

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