I browsed a book by Byron & Fuller "Math. Physics" and read the following:(adsbygoogle = window.adsbygoogle || []).push({});

Algebra, Geometry & Analysis are joined when functions are treated as vectors in a vector space. This makes Hilbert spaces extremely useful in QM.(paraphrased but that's the jist of it)

Comments on this?

If it's true than I am interested in studying Hilbert spaces to better understand QM. When I took QM my teacher was asked "What good is this stuff on Hilbert Spaces?". His reply was that every space & every function used in QM is a Hilbert Space so don't worry about it - it's of no consequence at all.

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# Hilbert Spaces & QM

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