# Homework Help: Find probability amplitude given normalization condition on P(x)

1. Oct 1, 2009

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1. The problem statement, all variables and given/known data
P(x)=e^(-ax)
does P(x) satisfy the normalization condition? if not, how would you modify P(x)?
Given normalization condition on P(x) and P(x)=A*(x)A(x)=abs(A(x))^2
is there a unique formula for A(x)? if so determine it. if no, give at least four possible expressions for A(x)

2. Relevant equations
integral of P(x) from a to b =1

3. The attempt at a solution
i determined that integral of P(x) has to equal to 1 to satisfy normalization condition and found that integral of P(x) equals to 1/a. therefore a has to = to 1
i am not very sure about the second part of the question for probability amplitude. i think that A(x) can take on any value as long as it is a complex number. But i am not sure at all.

thanx

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