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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
3
votes
limit of Riemann-Stieltjes sums as an integral on $\mathscr{H}$
Three comments, but too long:
The statement is correct in the case of a bounded, self-adjoint operator. Riemann sums are defined in the usual way, except that they are being used for functions with …
2
votes
Meaning of a quantum field given by an operator-valued distribution
This is a personal opinion which is perhaps tangential to the question but which I hope might shed some light on this topic (if otherwise, it can be ignored). It is arguable that the important quest …
1
vote
Fourier transform of a generalized function on the plane
Chanced on this and after much rumination I have decided to point out the following flaws in the postings.
Firstly, I assume that when you write $$\frac 1 {x+y^2+i0}$$ you mean a limit of the functio …