Hello. I'm in a research program and I'm supposed to implement the wigner distribution for a color glass condensate into a C program, but I have no idea of where to start. The equation looks so complicated and I've looked everywhere for a open description of its solution. Does anyone knows where I could find something like an open resolution for this equation? Or how to implement it?
Observation: This equation is from the paper named 'Wigner, Husimi and GTMD distributions
in the Color Glass Condensate'.
Thanks :)
https://preview.redd.it/gpeksilfrzw71.png?width=621&format=png&auto=webp&s=f54705a29b7b43c79a787b67605ea5b0955bb18b
Hello Reddit, I'm reading a bit about the representation of quantum mechanics based on the Wigner distribution over phase space.
Is there any such approach available for discrete systems, say N-qubits, particularly for low N? Is it straightforward from the continuous Wigner transform of the density matrix in say coordinate space, and use an analoge discrete formula like those in the spirit of discrete Fourier transforms? Are there similar artifacts (alias)? And strategies yo deal with them (window functions)?
Hello guys! I would like to know the formula for this cartesian graph (I made it on photoshop), the radius of all semicircles are the same (on the image they look not). It is for a personal project, but I have little knowledge on how this works, from my experiments this is the way.
https://preview.redd.it/8tcqxuw9ewc81.png?width=985&format=png&auto=webp&s=bf8fafedc8b23b1f03fbea39ddfd43f85c7b35c9
Let us consider the Wigner's friend thought experiment.
Wigner's friend measures the spin of an electron in a particular axis. Let us say that he finds the spin to be up.
Wigner is outside the laboratory. Wigner knows that his friend has made a measurement of the spin of the electron.
According to Wigner's friend, the electron is spin up.
According to Wigner, the combined state of the electron and his friend is in a superposition of two states: the electron is spin up × Friend has measured that the electron is spin up and the electron is spin down × Friend has measured that the electron is spin down.
So, Wigner's friend and Wigner assign different states to the electron.
What are your thoughts regarding this thought experiment? What solution would you propose to this paradox?
Warning: Zero practical applications ahead!
In a post I made a little over a month ago, I talked about different types of content that this sub could benefit from, one of which being art with the Collatz conjecture being used as its basis.
Here is a small art project, all generated programmatically and presented in Desmos. The rules are as follows:
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Start with some integer and begin performing the collatz conjecture on it.
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Draw a semicircle from the starting integer to the next. If the sequence is increasing, render it as red and above the x axis. If it is decreasing, render as blue and below the x axis.
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Continue the sequence until you've reached the 4-2-1-4 loop.
Here is a small example using 5 as the starting point.
Quickly, these patterns get increasingly complex, here is 31 as a starting point.
Here is a more detailed view of the semicircles near the origin.
Here are the first 100 numbers and their semicircles. We get nice regular patterns this way. I'm curious to know what the lines tangent to both sets of semicircles are, if that piques your curiosity please let me know what they are as I'm curious too but far to busy to dedicate any more time to this tiny project.
If anyone is interested in playing with this, throw this into a .html file, change the number at the designated spot, and open in your browser to see what your own sequence looks like. This was thrown together fairly quickly and it was my first time working with the Desmos API, so the code may not be optimal.
Enjoy!
Someone on Twitter posted this the other day and was asking what it is, I can't work it out so thought I'd put to you all....
Seems to have 6 semi circle indents of varying size. The cental stippled piece can be turned slightly to release the tension and move the semi circles around.
https://preview.redd.it/kwbjyobqww381.jpg?width=4032&format=pjpg&auto=webp&s=53b5a7e5580ab6f984c97c1662d57f682c51f194
https://preview.redd.it/m3tibjf6ww381.jpg?width=3988&format=pjpg&auto=webp&s=1d6456fdedbebadf802c7b4a8bfa0990900fd338
I am hearing a discussion between to friends and curious which is true. One says it is not applicable to classic physics and one says it is. Based on this article https://www.google.com/amp/s/www.scientificamerican.com/article/this-twist-on-schroedingers-cat-paradox-has-major-implications-for-quantum-theory/%3famp=true
The argument is “Newer versions have very recently actually been carried out, but not with human friends nts. They show that a macroscopic system can make a measurement, get a result, communicate to you or record the fact that a measurement has been made and a definite result obtained, but then wipe that out, reverse the measurement decoherence, and get a different result in a different way for instance via an entangled system. It is a mixture of a double Wigner’s Friend exp’t, a Bell inequality violation exp’t, and a quantum erasure exp’t. It shows that the nonlocal nature of quantum systems (Bell) extends up to the classical world and can be demonstrated rigorously. It fits well with quantum contextuality, and is compatible with all interpretations of QM including many worlds interpretations etc. but not with local realism.”
I've noticed in some Quantum physics papers there are wigner functions which have non - gaussian approximations and in some there are guassian approximated wigner functions. I can't understand what is the difference here. I what does it mean to have a gaussian approximation?
I'm sorry I'm just new to these kind of topics. Not a physics graduate.
Any help is appreciated.
Thanks in advance!
