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Apr 29 at 19:17 comment added user56834 It seems there are missing $\hbar$ here? See this answer: physics.stackexchange.com/a/812408/127307
Dec 5, 2023 at 4:00 comment added Sidharth Ghoshal This is a very nice answer. I wanted to mention that while we shouldn’t expect $\rho$ to recover the entire quantum state it’s still very surprising we can’t even get a single PDE for $\rho$
Sep 21, 2019 at 9:48 vote accept Jan Bos
Feb 8, 2018 at 14:51 comment added AccidentalFourierTransform @MikeFlynn Bohm wrote several books himself, so you should definitely check them out. I've heard they are quite good (even by those that dislike Bohm's interpretation).
Feb 8, 2018 at 5:26 comment added Mike Flynn any books on this? It's more mathematically cumbersome but I like this so much better conceptually.
Dec 7, 2017 at 14:22 comment added Jan Bos Appreciate the link to the Quantum Hamilton-Jacobi Equation (the 2nd differential equation in the couples set). There seems to be some work done on that but it seems not straightforward.
Dec 7, 2017 at 12:55 comment added Jan Bos Shouldn't the answer then be along the lines of "Yes you can but the equation involves a complicated functional of $\rho$ and is not practical to use". In fact, the 2nd part of your answer seems to contradict the first part since you showed that the degrees of freedom are coupled albeit in a complicated way. It is interesting that the relative simple probability density of say a 1s electron in hydrogen is a solution of this very tedious equation.
Dec 7, 2017 at 10:57 history answered AccidentalFourierTransform CC BY-SA 3.0