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Bemused

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The probability of obtaining the

*i*th energy eigenvalue E

*i*is given by the square modulus of the integral psi_

*i**(x)PSI(x,t)dx where PSI(x,t) is the wave function of the system.

How can this be calculated since the wavefunction is a product of the superposition of all the possible energy eigenfunctions, psi_

*i*(x)? I guess what I am trying to ask is - how can we know PSI(x,t)? Every text I have read typically starts problems in this area with "Suppose we have a wavefunction,..."

Thanks to all that help