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On angular momentum operator in quantum field theory

2002/11/17 by Bozhidar Z. Iliev
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #quant-ph

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published as In: Frontiers in quantum physics research, Editors F. Columbus and V. Krasnoholovets, Nova Science Pub., Inc., New York, 2004, pp.129-143 · 13 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

arxiv created 2002/11/17 · arxiv updated 2009/11/30

Abstract

Relations between two definitions of (total) angular momentum operator, as a generator of rotations and in the Lagrangian formalism, are explored in quantum field theory. Generally, these definitions result in different angular momentum operators, which are suitable for different purposes in the theory. From the spin and orbital angular momentum operators (in the Lagrangian formalism) are extracted additive terms which are conserved operators and whose sum is the total angular momentum operator.

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