Alternative approaches to the construction of the Poincare-invariant spin operators of the Dirac particles |
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Authors: | V A Bordovitsyn O A Konstantinova |
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Institution: | (1) Tomsk State University, Tomsk, Russia |
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Abstract: | At present a number of methods of constructing the Poincare-invariant spin operators for relativistic particles with half-integer
spin in the one-particle theory are well known. The method of odd operator constructing, the Lorentz method of bilinear covariant
form transformation, and the method with the Foldy–Wouthuysen representation belong to them. New approaches to the construction
of spin operators are developed in the present work, namely, a method of separating space-like component directly from the
spin matrices of bilinear covariant forms, including the method of multiplication of the covariant Hamiltonian of the Dirac
equation by these matrices. By this means we succeeded in constructing the Poincare-invariant spin operators by simpler and
mathematically faultless methods.
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 10–15, November, 2008. |
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Keywords: | the Dirac equation spin operators the Poincare invariance |
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