A projection operator technique for solution of relativistic wave equation on non-compact group: the case of a charged vector-boson

A projection operator technique for solution of relativistic wave equation on non-compact group has been proposed. This technique was applied to the construction of wave equations for charged vector boson in a potential field. The equations were shown to approximately describe a hydrogen-like atom a...

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Published inarXiv.org
Main Authors Grushevskaya, Halina V, Gurskii, Leonid I
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 31.01.2003
Subjects
Fine structure
Mathematical analysis
Potential fields
Relativism
Relativistic effects
Wave equations
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Abstract A projection operator technique for solution of relativistic wave equation on non-compact group has been proposed. This technique was applied to the construction of wave equations for charged vector boson in a potential field. The equations were shown to approximately describe a hydrogen-like atom and allow estimating of relativistic corrections such as a fine structure of hydrogen atom lines with high accuracy.
AbstractList A projection operator technique for solution of relativistic wave equation on non-compact group has been proposed. This technique was applied to the construction of wave equations for charged vector boson in a potential field. The equations were shown to approximately describe a hydrogen-like atom and allow estimating of relativistic corrections such as a fine structure of hydrogen atom lines with high accuracy.
Author Grushevskaya, Halina V
Gurskii, Leonid I
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SubjectTerms Fine structure
Mathematical analysis
Potential fields
Relativism
Relativistic effects
Wave equations
Title A projection operator technique for solution of relativistic wave equation on non-compact group: the case of a charged vector-boson
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