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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
1 answer
2k views

fourier transform on an interval?

Hello, May I ask how to define the fourier transform of a function that is not defined on the whole real line? For example, what is the fourier transform of $\frac{1}{\sqrt{x}}$? And what is the fou …
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3 votes
4 answers
2k views

Suitable references for the the Stone-von Neumann Theorem

Hi all, I am working on a mathematical physics project now and I need to understand the Stone-von Neumann Theorem properly. Wikipedia says that it is any one of a number of different formulations of …
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10 votes
1 answer
2k views

basic questions on quantum integrable systems

I have been learning about (classical) integrable systems lately, e.g. in the examples of a Lax pair etc. I frequently run into the term 'quantum integrable system'. May I ask a few questions: What …
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