Skip to main content

All Questions

2 votes
1 answer
123 views

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 views

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 ...
oleg's user avatar
  • 482
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
  • 17.7k