Premium
Solution of the Nonlinear Equation of Motion of Relativistic Positrons under Planar Channeling Conditions
Author(s) -
Wedell R.
Publication year - 1986
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19864980330
Subject(s) - physics , positron , anharmonicity , planar , nonlinear system , equations of motion , motion (physics) , harmonic , differential equation , simple harmonic motion , ion , classical mechanics , atomic physics , quantum electrodynamics , nuclear physics , quantum mechanics , electron , computer graphics (images) , computer science
In earlier publications the positron planar channeling at relativistic energies was often described by a harmonic potential. In this paper a system of differential equations describing the channeled positron motion in an anharmonic potential is derived. It is shown that at such small depths, where the statistical equilibrium is not established, the radiation energy loss may be neglected. The obtained simplified equations are equivalent to corresponding expressions for ion channeling at small depths. Therefore, these earlier results can also be extended to the positron case.