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• W2037431411 endingPage "63" @default.
• W2037431411 startingPage "49" @default.
• W2037431411 abstract "Comprehensive, detailed studies of radiative and inelastic-scattering transitions of fast charged particles propagating in crystals require improvements in the description of their Bloch eigenfunctions and quasimomentum bands. Progress towards achieving the required description is made here by (a) introducing a general iterative treatment of the effects of the crystal-potential variation along the direction of the particle propagation on the Bloch eigenfunctions, and (b) employing Hill's-equation theory to analyze, in a unified fashion, the various diffraction regimes (including the planar channeling regime) for particles which enter the crystal at small angles relative to a set of low-index crystal planes [the systematic-reflection geometry (SRG)]. Among the results obtained for diffraction in the SRG the most notable are the following: (1) analytical expressions for the band structure and the Bloch eigenfunctions for electrons and positrons (ensuremath{beta} particles) with energies ensuremath{lesssim}1 MeV; (2) expressions revealing the existence of gaps between bands populated by ensuremath{beta} particles with energies up to a few hundred MeV (or nonrelativistic mesons) whose propagation transverse to the set of crystal planes is unbounded; (3) analytical estimates of tunneling into the vicinity of atomic sites and of the bandwidth, for states occupied by positrons in the planar channeling regime." @default.
• W2037431411 created "2016-06-24" @default.
• W2037431411 creator A5036507673 @default.
• W2037431411 date "1986-01-01" @default.
• W2037431411 modified "2023-10-17" @default.
• W2037431411 title "Bloch waves and band structure for diffracted and channeled particles in crystals" @default.
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• W2037431411 doi "https://doi.org/10.1103/physrevb.33.49" @default.
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• W2037431411 hasPublicationYear "1986" @default.
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