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Results tagged with group-theory
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user 251599
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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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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Are elements of different invariant subspaces of a self-adjoint set orthogonal?
I know that self-adjoint operators have orthogonal eigenspaces, but how does that generalize to the orthogonality of invariant subsapces?
I am reading Fonda's Symmetry Principles in Quantum Physics ri …
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Why is simultaneity a requirement for the distance function of Galilean space?
At the end of Chapter 2 of his Course in Mathematical Physics, Szekeres discusses the notion of a symmetry group. I present my definition, adapted from his, here:
We say that a transformation $g: X \ …
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