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Results tagged with symmetry
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user 188
Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.
3
votes
Accepted
Weinberg's way of deriving Lie algebra related to a Lie group
Weinberg invokes Wigners theorem for the following reason: a priori, the symmetry group $T$ acts on rays. … Now, the symmetry maps physical states to physical states, i.e. sets of vectors to sets of vectors. …
- 5,357
14
votes
2
answers
969
views
Groups acting on physics - a clarification on electrons and spin
So, essentially, there is a symmetry group $SU(2)$ which acts on "physics", but its action on the spatial degrees of freedom is just that of $SO(3)$. …
- 5,357
5
votes
Accepted
Groups acting on physics - a clarification on electrons and spin
There is even a bit hair splitting as to whether you consider wave functions as physically relevant quantities and add an additional symmetry ("up to phase"), or whether you take the quotient "wave function …
- 5,357