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Results tagged with lie-algebra
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user 391058
A vector space $\mathfrak{g}$ over some field $F$ and kitted with a bilinear, antisymmetric and Jacobi-identity-fulfilling product ("Lie Bracket" or "commutator"). In physics, most often arises as the Lie algebra (tangent space to the identity) of a Lie group; in gauge theories, basis vectors of the gauge group's Lie algebra correspond to Noether currents and conserved quantities.
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Comparison of production probabilities of delta baryon in pion-proton collisions
Currently studying Georgi's Lie Algebras in Particle Physics and problem 5.C in the isospin chapter asks to compare the probability of producing $\Delta^{++}$ in $\pi^+ P \rightarrow \Delta^{++}$ and …
- 331
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Help with finding the understanding generalized raising/lowering operators
I'm working on the following problem:
If $| \mu \rangle$ is the state of the highest weight, that is $\mu = \mu_1 + \mu_2$ of the adjoint representation of $SU(3)$, show that the states:
$$
|A\rangle …
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