Wednesday, February 18, 2015

Rigged Hilbert Spaces

I love the term rigged Hilbert space, which I just encountered from a paper on the arXiv. I was hoping that thinking about probabilities in there would appropriately motivate the name (and maybe that's true in the applications to quantum mechanics), but it isn't immediately obvious to me that this should be the case. I want it to be true, though!

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