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Electronic Energy Levels in a Cubic CrystalsIn this chapter we apply space groups to determine the electronic dispersion relations in crystalline materials, and use as an illustration the symmetrized plane wave solutions of a cubic crystal.
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Spin–Orbit Interaction in Solids and Double GroupsThe discussion of angular momentum and the rotation group has thus far been limited to integral values of the angular momentum (see Chap. 5). The inclusion of half integral angular momentum states requires the introduction of the spin–orbit interaction and “double groups”, which are the focus of this chapter.
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Splitting of Atomic Orbitals in a Crystal Potentialher to lower symmetry, a procedure used very frequently in applications of group theory to solid state physics. In this chapter we also consider irreducible representations of the full rotation group.
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Potential Mechanisms of Phantom Tooth Pain,ch consists of both . symmetry o perations and . symmetry operations . Both the translational and point group symmetry operations leave the Hamilto nian invariant, and consequently all these symmetry operators will commute with the Hamiltonian, and provide quantum numbers for labeling the energy eigenvalues and eigenfunctions
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