Invariant Solution of Dirac Equation in Crossed Electric and Magnetic Fields. Spin Integral of Motion. (H < E)

R. G. Petrosyan; M. A. Davtyan

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Title: Invariant Solution of Dirac Equation in Crossed Electric and Magnetic Fields. Spin Integral of Motion. (H < E)

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1829-1171

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Yerevan State University, Department of Theoretical Physics

Coverage:

119-123

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.

Date created:

2019-04-06

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pdf

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oai:arar.sci.am:23562

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ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

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Physics Quantum mechanics, field theories, and special relativity Electromagnetism; electron and ion optics

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Digital Library > Articles

Last modified:

Dec 13, 2023

In our library since:

Feb 27, 2020

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https://arar.sci.am/publication/26333

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Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես

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Invariant Solution of Dirac Equation in Crossed Electric and Magnetic Fields. Spin Integral of Motion. (H < E)	Dec 13, 2023

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Title: Invariant Solution of Dirac Equation in Crossed Electric and Magnetic Fields. Spin Integral of Motion. (H < E)

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