Publication: On the Channeling Phenomenon as 1D and 2D Atomic Models in the Comoving Reference Frame
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2022
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Abstract: The motion of a channeled particle is conveniently considered in the so-called comoving reference frame, moving along the direction of channeling at a speed equal to the longitudinal component of the channeled-particle speed. In such a system, the motion of the particle is finite and reduced to oscillatory in the one-dimensional potential (in the case of plane channeling) or two-dimensional finite motion in the central field (in the case of axial channeling). Mathematically, in the comoving reference frame, the motion of a channeled particle is described by the relativistic Schrödinger equation, in which the role of mass is performed by the relativistic particle energy E. The channeling phenomenon can be considered as 1D and 2D models of atoms in terms of the motion of an electron inside an atom. By selecting and orienting the target crystal, it is possible to control the potential parameters, making it different from the Coulomb potential acting in a hydrogen atom. By changing the relativistic energy of channeled particles, it is possible to change the number of the allowed quantum energy levels of the limited motion of particles within wide limits. In the case of axial channeling, it is possible to realize almost the entire variety of effects observed in traditional atomic physics for channeled particles: the complex structure of levels and sublevels corresponding to different energies and the quantized momentum of particles in the comoving reference frame; the fine splitting of energy levels due to spin-orbital interaction; splitting of energy levels in a magnetic field (analogue of the Zeeman effect), etc. © 2022, Pleiades Publishing, Ltd.
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Kalashnikov, N. P. On the Channeling Phenomenon as 1D and 2D Atomic Models in the Comoving Reference Frame / Kalashnikov, N.P., Olchak, A.S. // Journal of Surface Investigation. - 2022. - 16. - № 4. - P. 659-662. - 10.1134/S1027451022030132
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https://www.doi.org/10.1134/S1027451022030132
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https://www.scopus.com/record/display.uri?eid=2-s2.0-85135531863&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000835724500035
https://openrepository.mephi.ru/handle/123456789/27297