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On Some Solutions of Relativistic Wave Equations

✍ Scribed by Prof. Dr. I. M. Ternov; Dr. A. M. Khapaev; Dr. I. V. Ponomaryov

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
346 KB
Volume
500
Category
Article
ISSN
0003-3804

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✦ Synopsis

In this paper we present exact solutions of the Klein-Gordon and the Dirac equations in different configurations of an electromagnetic field, which are characteristic for free-electron lasertype gauges. I n the case of motion of a charged scalar particle in standing wave an energy spectrum is studied. For the motion of an electron in a so-called wiggler magnetic field a spinor wave function is proved to be obtainable. An undulator field configuration with propagating wave is treated also.

Einige Liisungen von relativistischen Wellengleichungcn

I n h a l t s u b e r s i c h t . I n diesem Artikel werden genaue Losungen von Klein-Gordon und Dirak-Gleichungen fur verschiedene Konfigurationen des elektromagnetischen Feldes erhalten, die fiir solche Gerate wie Laser typisch sind, in denen freie Elektronen benutzt werden. I m Falle der Bewegung von skalaren Teilchen in der stehenden Welle wurde das energetische Spektrum untersucht.

Was die Elektronenbewegung im sogenannten Spiralmagnetfeld betrifft, so wurde seine Spinorenwellcnfunktion erhalten. Es wurde auch dic undulatore Feld-Konfiguration mit der tfberlagerong der laufenden Welle erforscht.

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