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3
questions
2
votes
1
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Where can I learn Fourier analysis and complex signal processing for quantum mechanics?
I'm requesting resourses to dive deep and get a good grip on complex signals, Fourier analysis and connections to information theory and information encoded by complex signals.
My background: 3rd year ...
4
votes
0
answers
150
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The frame of truncated momentum basis on a 1D lattice
$\def\ket#1{\left|#1\right\rangle }
\def\bra#1{\left\langle #1\right|}$
(This is part of a research problem)
The Setup:
Consider a single particle on a finite 1D lattice with the Hilbert space ...
14
votes
4
answers
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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 ...