# Wave function (1 Viewer)

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#### UrbanXrisis

the wave function descrbing a state of an electron confined to move along the xaxis is given at time zero by:

$$\Psi(x,0)=Ae^{\frac{-x^2}{4 \sigma^2}}$$

where sigma is a constant (i believe).

I am asked to find the probability of finding the electron in a degion dx centered at x=0.

I really dont know where to being since the wave function isnt in complex form so I cant multiply it by its complex conjugate. what should I do?

#### topsquark

UrbanXrisis said:
the wave function descrbing a state of an electron confined to move along the xaxis is given at time zero by:

$$\Psi(x,0)=Ae^{\frac{-x^2}{4 \sigma^2}}$$

where sigma is a constant (i believe).

I am asked to find the probability of finding the electron in a degion dx centered at x=0.

I really dont know where to being since the wave function isnt in complex form so I cant multiply it by its complex conjugate. what should I do?
$$P(x)= \Psi ^* \Psi$$ whether the wavefunction is complex or not. So $$P(0) = A^2e^{\frac{-x^2}{2 \sigma^2}}|_{x=0} = A^2$$.

-Dan

PS In case this is the issue, if a is a real number $$a^* = a$$.

Last edited:

#### UrbanXrisis

you mean $$P(0,0)$$ right? cause it is with respect to time too, but time is always t=0 in this problem

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