(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given for one-dimensional Galilean symmetry the generators ##K, P,## and ##H##, with the following commutation relations: $$[K, H] = iP$$ $$[H,P] = 0$$ $$[P,K] = 0$$

2. Relevant equations

Show that the Lie algebra for the generators ##K, P,## and ##H## is isomorphic to the Heisenberg algebra $$[X, P] = i \hbar I$$.

3. The attempt at a solution

The Heisenberg algebra is a non-trivial central extension of the Galilean algebra. I don't know how to prove how they are isomorphic.

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# Homework Help: Heisenberg algebra Isomorphic to Galilean algebra

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