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## Main Question or Discussion Point

Neumann's Principle states:

So, does this apply to the wavefunction of an electron in a crystal? Or, stated another way, if the crystal is an eigenlattice of some symmetry operator, is the wavefunction necessarily an eigenfunction of the same operator?

*If a crystal is invariant with respect to certain symmetry elements, any of its physical properties must also be invariant with respect to the same symmetry elements.*So, does this apply to the wavefunction of an electron in a crystal? Or, stated another way, if the crystal is an eigenlattice of some symmetry operator, is the wavefunction necessarily an eigenfunction of the same operator?