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Results tagged with representation-theory
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user 251599
The systematic study of group representations, which describe abstract groups in terms of linear transformations of vector spaces, such that group elements or their generators are represented as matrices, reducing group-theoretic problems to linear-algebraic ones.
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Resource on group theory and quantum mechanics
I know this question has been asked a million times and I have looked at the various questions/answers, but am yet to find a perfect solution. At one of the suggestions here, I picked up the book by T …
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Why is a fixed $j$ eigenspace irreducible?
In his development of angular momentum, Ballentine writes:
The $(2j + 1)$-dimensional space spanned by the set of vectors $\{|j, m\rangle\}$, for fixed $j$ and all $m$ in the range $(−j \leq m \leq j …
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What is a "multicomponent state function" mathematically?
I have just finished reading Ballentine Chapter 7.2 and I am positively baffled, perhaps because Ballentine is being sloppy for the first time. I attach the discussion in Ballentine at the end of this …
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