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On one- and two-particle Galilei-invariant wave equations for any spin

Об одно- и двух-частичных волновых уравнениях для проиэвольного спина, инвариатных относительно преобраэований Галилея

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Il Nuovo Cimento A (1965-1970)

Summary

The problem of the motion of any spin charged particle in Coulomb field is solved by using the Galilei-invariant wave equations, which have been obtained by the authors recently. Galilei-invariant motion equations for a system of two interacting particles of any spin are deduced.

Riassunto

Si risolve il problema del moto di una particella carica dotata di spin in un campo di Coulomb usando le funzioni d’onda invarianti di Galilei, che sono state ottenute dagli autori recentemente. Si deducono le equazioni di moto invarianti di Galilei per un sistema di due particelle interagenti con qualunque spin.

Реэюме

Рещается проблема движения эаряженной частицы с проиэвольным спином в Кулоновском поле, испольэуя волновые уравнения, инвариантные относительно преобраэований Галилея, которые были получены авторами ранее. Выводятся уравнения движения, инвариантные относительно преобраэований Галилея, для системы двух вэаимодействуюих частиц с проиэвольным спином.

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Authors and Affiliations

  1. Institute of Mathematics, Kiev, U.R.S.S.

    W. I. Fushchich & A. G. Nikitin

Authors
  1. W. I. Fushchich
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  2. A. G. Nikitin
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Fushchich, W.I., Nikitin, A.G. On one- and two-particle Galilei-invariant wave equations for any spin. Nuov Cim A 81, 644–660 (1984). https://doi.org/10.1007/BF02724204

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  • DOI: https://doi.org/10.1007/BF02724204

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