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Feynmanfan
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Normalization of a wavefunction
Let Phi be a wave function,
Phi(x)= Integral of {exp(ikx) dk} going k from k1 to k2
I'm having trouble normalizing the wave function. I calculated the integral, then multiply by its conjugate and now I'm supposed to integrate again /Phi(x)/^2 in all the space in order to find the normalization constant. I get a non trivial integral so I think it must be easier if I understand the physical meaning of the exercise. I know that exp(ikx) are the eigenfunctions of the mometum operator.
Is it the mathematics I'm doing wrong or is there another way. Thanks for your help.
Let Phi be a wave function,
Phi(x)= Integral of {exp(ikx) dk} going k from k1 to k2
I'm having trouble normalizing the wave function. I calculated the integral, then multiply by its conjugate and now I'm supposed to integrate again /Phi(x)/^2 in all the space in order to find the normalization constant. I get a non trivial integral so I think it must be easier if I understand the physical meaning of the exercise. I know that exp(ikx) are the eigenfunctions of the mometum operator.
Is it the mathematics I'm doing wrong or is there another way. Thanks for your help.
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