This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: trivial representation: n = 1 example: transformation of basis function 4 character table Group theory representations symmetry operations of Hamiltonian form a group Hilbertspace is vector space stationary states: and degenerate degenerate states form a vector space with an irred. representation of with dimension m of representation corresponds to the degeneracy of eigenvalues 5 Group theory representations & quantum mechanics symmetry lowering splitting of degeneracy through symmetry lowering A 1 A 2 B 1 B 2 E A 1 ‘ A 1 ‘ B 1 ‘ B 1 ‘ A 2 ‘ B 2 ‘ k x high symmetry point E A,B ε 6 Group theory representations & quantum mechanics...
View
Full Document
 Spring '11
 Sigrist
 Group Theory, Vector Space, Hilbertspace

Click to edit the document details