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Results tagged with group-theory
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user 31844
Group theory is a branch of abstract algebra. A group is a set of objects, together with a binary operation, that satisfies four axioms. The set must be closed under the operation and contain an identity object. Every object in the set must have an inverse, and the operation must be associative. Groups are used in physics to describe symmetry operations of physical systems.
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Prove that the singlet state of 3 quark flavors is fully antisymmetric
I have three quark flavors, according to group theory:
$$3\otimes3\otimes3=10\oplus8\oplus8\oplus1$$
I have to show that the 1 is antisymmentric.
My idea would be to try to construct the sta …
- 269
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Prove that the singlet state of 3 quark flavors is fully antisymmetric
I might figured this one out:
The singlet must be a combination of all three $u,d,s$ quarks. That means a permutation function $F(u,d,s)=\psi_{singlet}$. Now it is singlet, so applying all lowering/ra …
- 269
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Computing reduced matrix element without Wigner-Eckart theorem
Lets have a problem: suppose we need to calculate reduced matrix element of some transition of a particle from some higher-order spin(or rather total angular momentum state, it does not really matter, …
- 269