Recent content by invisiblefrog

OK, thanks for the help guys, I must be doing it wrong. My apologies for demanding a normalization condition which is seemingly nonexistent.

Certainly it is impossible to normalize the function in the standard way. The question is about a special procedure called "delta function normalization" which produces a normalization constant for these non-integrable functions. The inner product of the state with itself will be infinite, equal...

Sorry, I should have been more clear about which functions I was trying to normalize. I am looking for a normalization constant A in \psi(x) = Ae^{ikx} I don't understand how I could do this since x doesn't tell me something that distinguishes one state from another. The link I mentioned...

They're just using the fact that the set of functions \left\{e^{ikt}\right\}, where k may be any real number, forms an orthogonal basis, in terms of which any integrable function may be expressed. Same idea as a Fourier transform.

I'm trying to understand what is the correct rule for the Dirac delta normalization of a non-integrable wave function, and can't seem to find any decent references. My issue is with achieving the proper dimensionality of the resulting wave function. This would be length-1/2 for the states of a...