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Results tagged with symmetry
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user 215452
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.
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Projection formalism and eigenvectors of normal mode [closed]
Consider a water molecule:
As one can prove, the group symmetry for this molecule is $C_{2v}$, with a character table like
I am asked to use the projector operator formalism in order to determine the … Then, I wrote the matrices representing each element of the symmetry group. …
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Accepted
Projection formalism and eigenvectors of normal mode
After reading the comments and searching a bit more, I think I've managed to find the solution.
Considering the two displacements $r_1$ and $r_2$:
applying the projection formalism should give, for $ …
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Coefficients in Feynman Diagrams
Let us consider the term which is $\propto \lambda^2$, represented by the following Feynman's diagram:
According to symmetry rules, I should get a $1/2$ symmetry factor, due to the middle lines. …
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Conceptual doubt about representations
Now, consider an Hamiltonian, $H$, which is invariant under the action of a symmetry element, $R$, of a group. … To my (little) understanding, only symmetry elements like $R$ should transform according to a said representations. …
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