Schrödinger equation emerges mathematically from classical mechanics (2012)

Re:Schrödinger equation emerges mathematically from classica... by kkylin on Friday December 22, 2023 @07:34PM (#38740480)

The other responses are quite good so I won't try to add to them. But this being HN, do have a look at

https://groups.csail.mit.edu/mac/users/gjs/6946/sicm-html/bo...

for an approach that might be especially appealing to hackers.

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Re:Schrödinger equation emerges mathematically from classica... by acqq on Friday December 22, 2023 @08:12PM (#38740704)

So, a taste:

https://groups.csail.mit.edu/mac/users/gjs/6946/sicm-html/bo...

"1.5.2 Computing Lagrange's Equations

The procedure for computing Lagrange's equations mirrors the functional expression (1.18), where the procedure Gamma implements :58

   (define ((Lagrange-equations Lagrangian) q)
       (- (D (compose ((partial 2) Lagrangian) (Gamma q)))
            (compose ((partial 1) Lagrangian) (Gamma q))))"

Maybe more readable version:

https://tgvaughan.github.io/sicm/toc.html

Source: https://github.com/tgvaughan/sicm

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Re:Schrödinger equation emerges mathematically from classica... by jdminhbg on Friday December 22, 2023 @11:04PM (#38741526)

If you prefer Clojure and interactive notebooks: https://github.com/sicmutils/sicmutils

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