The wave function of a particle moving in a one-dimension is given by $\psi(x, t) = Nx(a - x)e^{-i\omega t}$. If the particle is localized between $x = 0$ and $x = 2a$, determine the normalization constant N. Select one: A. $\sqrt{\frac{15}{16a^5}}$ B. $\sqrt{30}$ C. $\sqrt{\frac{a^7}{15}}$ D. $\sqrt{\frac{105}{a^7}}$ E. $\sqrt{\frac{30}{a^5}}$ Your answer is correct. The correct answer is: $\sqrt{\frac{15}{16a^5}}$
Added by Thomas E.
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To determine the normalization constant N, we need to ensure that the total probability of finding the particle within the given range is equal to 1. Show more…
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