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9 votes
0 answers
573 views

Nuclear spectral theorem in Rigged Hilbert Spaces (Gelfand-Maurin theorem)

Before I go into the question, I would like to mention that I am a physicist with some formal mathematical knowledge, but not expert in functional analysis. In physics, we very often say: Let $|x \...
5 votes
0 answers
237 views

References to Mechanics (Classical, Quantum, Statistical) using Time-Scale calculus?

Time-Scale Calculus, is a theory which unifies ordinary (plus fractional and q-) calculus with discrete (and finite differences) calculus. In a sense, in a similar way the Lebesgue integral (or ...
4 votes
1 answer
469 views

Is there any book that treat time-dependent perturbation theory with rigorous mathematics?

I am searching for rigorous mathematics books or notes for time dependent perturbation theory. For introductory quantum mechanics there is the excellent book spectral theory and quantum mechanics ...
1 vote
0 answers
146 views

What are some resources for Algebraic quantum mechanics for Physicists

I am interested in the GNS construction and other stuff. I am aware of Valter Moretti's book but I want something that is more inclined towards physicists.