Abstract
A discrete model in a generalized rectangular-pulse space is proposed for dislocation cores in a crystal with its undeformed perfect structure taken as a Hilbert space of Schrodinger wave functions and with the core of a dislocation as a rigged Hilbert space of step functions of opposite sign separated by a time interval. The model suggests Vlasov equations for cation and electron distribution functions and equations for an intermittent field and their solutions. It is shown that the particle dispersion law is complex, and its real part is nonlinear and quadratic.
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