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Title of Journal: Nuovo Cimento A 19651970

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Abbravation: Il Nuovo Cimento A (1965-1970)

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Springer Berlin Heidelberg

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DOI

10.1007/s12149-015-1033-z

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1826-9869

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Remarks on Poincaré generators unitary transforma

Authors: J Beckers C Pirotte
Publish Date: 2016/01/21
Volume: 64, Issue: 2, Pages: 439-446
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Abstract

Coester and Chakrabarti have proposed independently unitary transformations diagonalizing the helicity operator and connecting the m s and 0s IUR ofP + ↑ through the limiting processm→0 The unitary transformation giving theexplicit equivalence of these contributions is calculated When used for defining a helicity basis for m s IUR the Chakrabarti transformation is found to be convenient to obtain the associated transformation laws under infinitesimal Lorentz transformations The corresponding transformation laws form=0 follow directly in agreement with Fronsdals resultsКоестер и Чакрабарти независимо предложияи унитарные преобразования диагонализирующие спиральный оператор и связывающие m s и 0s неприводимые унитарные представленияP + ↑ через предельный процессm→0 Вычисляется унитарное преобразование определяющеемочную эквивалентность этих вкладов Обнаружено что преобразование Чакрабарти когда используется для определения спирального базиса для m s неприводимого унитарного представления является удобным для получения законов связанных преобразований при бесконечно малых преобразованиях Лорентца Соответствующие зчконы преобразования дляm=0 следуют непосредственно в соответствии с результатами ФронсдалаCoester e Chakrabarti hanno indipendentemente proposto trasformazioni unitarie che diagonalizzano loperatore di elicità e collegano le rappresentazioni unitarie irriducibili m s e 0s diP + ↑ tramite il processo limitem→0 Si calcola la transformazione unitaria che fornisce lequivalenza esplicita di questi contributi Qualora la si usi per definire una base di elicità per la rappresentazione unitaria irriducibile m s si trova che la trasformazione di Chakrabarti è conveniente per ottenere le leggi di trasformazione associate per trasformazioni di Lorentz infinitesime Le leggi di trasformazione perm=0 seguono direttamente in accordo con i risultati di Fronsdal

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