For a wavefunction given by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\psi(x,t) = \sum a_n u_n(x) exp(-i E_n T/\hbar) [/tex] how would you show that a change of coordinates x > x + d does not affect the momentum space wavefunction phi(x) by more than a phase change?

You get phi(x) by Fourier transforming psi.

So, I do not see why it would affect psi at all because you are moving the origin d to the left but you are integrating over all pace in the Fourier transform.

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# Homework Help: Effect of a change of coordinates

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