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started something at Hamilton operator
I have always seen this in English as Hamiltonian operator. That already redirects to Hamiltonian; I am guessing that you wrote your article in ignorance of the existence of that one.
They did cover basically different ground —classical vs quantum—, so while I've now put it all in one article, I don't intend to imply that you can't split them again. (I wouldn't do that, but I'm not the one writing.) Just make sure that the redirects go where they should. (^_^)
Oh. Thanks, Toby, very good to have you around. Indeed, I missed all that. Thanks.
Thanks. So I added to the paragraph that I had written the remark on how this exponential expression that you write is the parallel transport of in the case that H is time-independent. More generally the parallel ztransport is given by the path-ordered exponential, which in the physics literature is known as the "Dyson formula".
it might be that people in quantum field theory are more likely to refere to this , but a priori it is just a quantum mechanical thing.
The "Dyson formula" is precisely what mathematicians call "parallel transport".
Some relevant wikipedia entries are Dyson series and method of Dyson series
We should eventually work more of this into the Lab. If you have some time, feel encouraged to go ahead.
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