- #1

bhobba

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## Main Question or Discussion Point

Ages ago when I first learned about QM the textbooks all said QM was formulated in a Hilbert Space. Yet you had this Dirac Delta function and infinite norms. Got a hold of Von Neumans book and yea it resolved it but by using the Stieltjes Integral and resolutions of the identity however that is not what physics books used. Looks like I was stuck with either something that looked like a mathematical slight of hand or a rigorous treatment no one seemed to use.

Then I heard about Rigged Hilbert spaces and the Generalised Spectral Theorem that solved the issue. Got a hold of some literature on it and it looked the goods.

Only trouble is why don't the physics books do it that way? I have Ballentine - QM - A Modern Approach but its the only one I know of.

Any ideas guys?

Thanks

Bill

Then I heard about Rigged Hilbert spaces and the Generalised Spectral Theorem that solved the issue. Got a hold of some literature on it and it looked the goods.

Only trouble is why don't the physics books do it that way? I have Ballentine - QM - A Modern Approach but its the only one I know of.

Any ideas guys?

Thanks

Bill