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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...
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 Spring '11
 Sigrist

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