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Tagged with signal-processing quantum-mechanics
9
questions
2
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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 ...
0
votes
1
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85
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It is possible to express the convolution between two quantum functions $\psi_{1}(x)$ and $\psi_{2}(x)$ in terms of a inner product?
The question of the title is due to the following methodology. Let us consider two arbitray quantum functions $\psi_{1}(x)$ and $\psi_{2}(x)$, such that the convolution between them is
$$\left\lbrace \...
4
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0
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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 ...
- 482
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"Synchronization" Probability of Multiple Waves with Varying Frequencies
Update 1: I've done some digging and I think this is related to signal coherence, namely, that I'm seeing a coherence time of ~3 σ, which is consistent with the definition where Ct=1/Δv where Δv is ...
- 287
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Is it fair to say that signal processing is a quantum phenomenon?
I recently saw a video by 3Blue1Brown, in which he explained that the uncertainty principle isn't a quantum phenomenon, but a result of basic signal properties. The basic premise was: the more precise ...
- 165
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Spatial Resolution in Magnetocardiography
In the science paper called Development of an optical cardio-magnetometer by George Bison, it is mentioned that spatial resolution of 10-20mm is required for mapping MCG signal(page 52). What does the ...
- 51
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Representation of a Signal and its evolution via Quantum System
I am a total beginner in the field of Quantum Mechanics. So, the question I am asking may be a silly one. So kindly give me possible answers or advice for modifications.
Recently I am learning the ...
14
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4
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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 ...
- 17.7k
5
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2
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Products of Gaussian stochastic process variables
In the classic experimental physics text "Statistical Theory of Signal Detection" by Carl. W. Helstrom, Chapter II, section 4 concerns Gaussian Stochastic Processes. Such a process is observed at ...
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