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Corrections of the long beating length in quantum modulated electron beams
Author(s) -
Hora H.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220800116
Subject(s) - physics , electron , relativistic electron beam , atomic physics , wavelength , dirac (video compression format) , quantum , kinetic energy , beam (structure) , modulation (music) , cathode ray , quantum electrodynamics , dirac equation , quantum mechanics , optics , acoustics , neutrino
The quantum mechanical modulation of electron beams crossing a laser beam within a solid, results in an experimental long beating wavelength. The values calculated from a nonrelativistic or from a relativistic theory differ remarkably. A full agreement is reached, if the relativistic dielectric correction of Varshalovich and Dyakonov is included in the relativistic expression for the long beating lengths. The agreement with the Dirac theory is checked and the velocity of the electrons has to be used as given from the relativistic kinetic energy.