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In physics, an operator is almost always either a square matrix or a linear mapping between two function spaces (defined on, say, $\mathbb R^n$). Operators serve as observables and as time evolution operators in Quantum Mechanics. This tag will most often find valid use in quantum mechanics; don't use this tag just because your equations contain "everyday operations" like $\times$, $+$!
4
votes
Accepted
truncation before matrix exponential: how to do it right?
I found the answer, at least for some of the cases that I thought were intractable, including my examples. The main tool is the disentangling theorem for the relevant group.
Example 1: the transforma …
6
votes
3
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truncation before matrix exponential: how to do it right?
Eventually I would like to produce the matrices of rather non-linear operations, where the $a$ and $a^\dagger$ operators are raised to large powers, how do I know if I'm doing it right? …