- #1
dipole
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- 151
Neumann's Principle states:
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?
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?