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0 votes
0 answers
27 views

Comparison between wave equation theory and transfer function theory

I deal with analysis of acoustic signals in solids. And after some literature research in physics and mathematic, I have a question about the followings two theories: Wave equation theory: Imagine I ...
Ronghua Xu's user avatar
7 votes
2 answers
1k views

Why does superposing an infinite number of waves of different wavenumbers eliminate periodicity and may sometimes result in a localised wave?

I am studying how wave packets are defined in quantum mechanics, but I am finding it hard to intuitively understand why superposing an infinite number of waves of different wavenumbers $k$ may ...
cookiecainsy's user avatar
1 vote
2 answers
153 views

How do phase carries structural information about the function? [closed]

Suppose you are on a railway platform and you hear the sound of train coming towards you. Now, Using Fourier transformation we can convert the time domain function (here take sound as a function) ...
user3559780's user avatar
14 votes
4 answers
2k views

Reconstruction of "wavefunction" phases from $|\psi(x)|$ and $|\tilde \psi(p)|$

Consider a "wavefunction" $\psi(x)$, which has a Fourier transform $\tilde \psi(p)$ Suppose that we know, for each $x$, $|\psi(x)|^2$, and that we know, for each $p$, $|\tilde \psi(p)|^2$. Have we ...
Trimok's user avatar
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