praharmitra
Jan4-11, 07:35 AM
I have only recently begun to study group theory from Lie Algebra for Particle Physicists by Georgi. I am slightly confused about the language used by physicists.
What does it mean when the following is stated
"The energy eigenstates transform like irreducible representations of the group G"
(G is a transformation group that is a symmetry of a quantum mechanical system.
Does it mean that if u take irreducible representations of the group G (which are linear operators) and act them on the energy eigenstates, you get new eigenstates with the same energy?
What does it mean when the following is stated
"The energy eigenstates transform like irreducible representations of the group G"
(G is a transformation group that is a symmetry of a quantum mechanical system.
Does it mean that if u take irreducible representations of the group G (which are linear operators) and act them on the energy eigenstates, you get new eigenstates with the same energy?