Publication Details:
Journal or Publication Title:
Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
Date of publication:
Volume:
Number:
ISSN:
Official URL:
Title:
Creator:
R. G. Petrosyan ; M. A. Davtyan
Corporate Creators:
Yerevan State University, Department of Theoretical Physics
Subject:
Physics ; Quantum mechanics, field theories, and special relativity ; Electromagnetism; electron and ion optics
Coverage:
Abstract:
In this paper analytic and invariant solution of the electron motion in crossed electric and magnetic fields where H < E is examined. It is shown that the invariant solution of the proposed problem is formally similar to that of quantum harmonic oscillator. Examining the polarity operator in external field, it is deduced that there is an expression consisting of spin components which remains constant throughout the motion and therefore is integral of motion. Eigenvalues and eigenfunctions corresponding to spin integral of motion are found and analyzed.