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(Sci Tech Daily)   AI may or may not have solved Schrödinger's Equation   (scitechdaily.com) divider line
    More: Cool, Quantum mechanics, wave function, Electron, Atom, quantum chemistry, Freie Universitt Berlin, deep neural network, key features of the method  
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834 clicks; posted to STEM » on 04 Jan 2021 at 11:50 AM (18 weeks ago)   |   Favorite    |   share:  Share on Twitter share via Email Share on Facebook



Voting Results (Smartest)
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2021-01-04 10:56:34 AM  
10 votes:
This headline makes me twitchy: There are many solutions to the Schrödinger equation - some very simple. Supercomputers have found solutions for molecular systems for a while now. What the researchers actually did was create a neural net that is capable of finding solutions for molecules with up to 30 electrons
 
2021-01-04 12:00:15 PM  
3 votes:
I solved it this morning for the ground state of a harmonic oscillator. Straightforward.
 
2021-01-04 10:13:33 AM  
3 votes:
They haven't solved it.  What they've done is taught AI how to think funny.  Which as we all know is dangerous.
 
2021-01-04 2:17:07 PM  
2 votes:

Ginnungagap42: Martian_Astronomer: This headline makes me twitchy: There are many solutions to the Schrödinger equation - some very simple. Supercomputers have found solutions for molecular systems for a while now. What the researchers actually did was create a neural net that is capable of finding solutions for molecules with up to 30 electrons

Came in to say basically this. We had to solve Schrödinger's equation for a one electron system back in college in the 1980s. It was considered "impossible" to solve (by hand) more than one electron systems at that time. Since then, computation methods and resources have improved greatly.

For a taste of what that was like, there is a solution for hydrogen here: https://users.aber.ac.uk/ruw/tea​ch/327/hatom.php


/ Mmm, eigenvalues...


It's still impossible to solve exactly for more than one electron.  All you've got for that are various approximation methods, both analytical and numerical.  The numerical versions get a lot more powerful when you've got teraflops to throw at the problem, though.
 
2021-01-04 1:05:17 PM  
2 votes:

Martian_Astronomer: This headline makes me twitchy: There are many solutions to the Schrödinger equation - some very simple. Supercomputers have found solutions for molecular systems for a while now. What the researchers actually did was create a neural net that is capable of finding solutions for molecules with up to 30 electrons


Came in to say basically this. We had to solve Schrödinger's equation for a one electron system back in college in the 1980s. It was considered "impossible" to solve (by hand) more than one electron systems at that time. Since then, computation methods and resources have improved greatly.

For a taste of what that was like, there is a solution for hydrogen here: https://users.aber.ac.uk/ruw/te​ach/327​/hatom.php


/ Mmm, eigenvalues...
 
2021-01-04 8:12:10 PM  
1 vote:

SVC_conservative: Marcus Aurelius: They haven't solved it.  What they've done is taught AI how to think funny.  Which as we all know is dangerous.

So wait, right now did they or didn't they figure this out?


We don't know until you read the article.
 
2021-01-04 1:48:10 PM  
1 vote:

Ginnungagap42: For a taste of what that was like, there is a solution for hydrogen here: https://users.aber.ac.uk/ruw/teach/327​/hatom.php


Things like this are why I really hate not being able to fully grok high level math.
 
2021-01-04 12:37:43 PM  
1 vote:
What my brain feels like it reverts to as I read these types of articles:

I like CEREAL! (Fosters)
Youtube d5KrGlnBVkE
 
2021-01-04 11:55:51 AM  
1 vote:

Martian_Astronomer: This headline makes me twitchy: There are many solutions to the Schrödinger equation - some very simple. Supercomputers have found solutions for molecular systems for a while now. What the researchers actually did was create a neural net that is capable of finding solutions for molecules with up to 30 electrons


Yep. If the equation was "solved" there would be no need for any machine learning, it would be just a rote equation.
 
2021-01-04 11:51:50 AM  
1 vote:

Marcus Aurelius: They haven't solved it.  What they've done is taught AI how to think funny.  Which as we all know is dangerous.


So wait, right now did they or didn't they figure this out?
 
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