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- W1990322435 abstract "We construct the effective Hamiltonian describing the motion of electrons in compositionally graded crystals which is valid throughout a given energy band and part way into the gaps. Near the edges of a simple or degenerate band this effective Hamiltonian reduces to an effective mass Hamiltonian with position dependent effective mass. Next, we examine more general states---not restricted to the vicinity of a band edge---in crystals with composition and applied potential variation in one direction. We obtain a WKB-type solution for the envelope functions, as well as the appropriate turning point connection rules." @default.
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- W1990322435 date "1993-05-17" @default.
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- W1990322435 title "Quantum mechanics of electrons in crystals with graded composition" @default.
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- W1990322435 doi "https://doi.org/10.1103/physrevlett.70.3103" @default.
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