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3
questions
5
votes
3
answers
190
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Reference request: representation focused view of quantum mechanics
I'm interested in learning a bit more about quantum mechanics from a more Lie algebra/representation theoretic perspective, hopefully including but not going past quantum field theory.
I was ...
- 1,903
12
votes
1
answer
2k
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Baker Campbell Hausdorff formula for unbounded operators
Baker Campbell Hausdorff formula says that for elements $X,Y$ of a Lie algebra we have
$$e^Xe^Y=\exp(X+Y+\frac12[X,Y]+...),$$
which for $[X,Y]$ being central reduces to
$$e^Xe^Y=\exp(X+Y+\frac12[X,Y])....
- 121
8
votes
1
answer
349
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How to find interesting operators for a quantum system?
How can we find "interesting" operators for a quantum mechanical system?
I can think of the following method: Given some system with an associated Hilbert space $V$ and Hamiltonian $H:V\rightarrow V$,...
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