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On the Relativistic Origin of spin: A Case for the "Rest Angular Momentum" | ||
| Physics Journal | Farhangian University | ||
| مقاله 1، دوره 2، شماره 3، مهر 2025 اصل مقاله (703.32 K) | ||
| نوع مقاله: Original Paper | ||
| شناسه دیجیتال (DOI): 10.48310/esip.2025.21025.1022 | ||
| نویسندگان | ||
| H. Razmi* 1؛ Abbas MohammadKazemi2 | ||
| 1Department of Physics, University of Qom, Qom, Iran. | ||
| 2Department of Physics, University of Qom, Qom, I. R. Iran. | ||
| چکیده | ||
| The intrinsic angular momentum, or spin, is a cornerstone of modern physics with profound applications from nuclear magnetic resonance to spintronics. While its mathematical structure within quantum theory is well-defined, its fundamental origin is often less emphasized. This paper revisits the genesis of spin by examining its emergence in relativistic wave equations, its role in the Thomas precession, and its formulation for massless photons in electrodynamics. It is argued that these foundational elements collectively demonstrate that spin is inherently a consequence of relativistic spacetime symmetry, and its full manifestation requires the quantum framework. Consequently, the term "rest angular momentum" offers a more conceptually accurate description, highlighting its origin as an intrinsic property manifest even in an object's rest frame, as dictated by the Poincaré group. Spin, as an invariant property of any object, is the angular momentum an elementary particle possesses in its rest frame, where its orbital angular momentum is zero. This perspective aims to bridge the gap between advanced theoretical concepts and pedagogical clarity, emphasizing that relativity is not merely about high-speed phenomena but is fundamental to the structure of matter itself. | ||
| کلیدواژهها | ||
| Spin؛ Relativity؛ Dirac Equation؛ Thomas Precession؛ Photon Spin | ||
| مراجع | ||
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[1] G. E. Uhlenbeck and S. Goudsmit, Naturwissenschaften 13, 953 (1925). [2] S. A. Wolf et al., Science 294, 1488 (2001). [3] R. P. Feynman, The Feynman Lectures on Physics, Vol. III, (Addison-Wesley, 1965), Ch. 6. [4] F. Selleri, Quantum Paradoxes and Physical Reality, (Kluwer Academic, 1989), Ch. 2. [5] H. C. Ohanian, American Journal of Physics, 54 (6), 500 (1986).
[6] F. J. Belinfante, Physica, 6, 887 (1940).
[7] O. Klein, Z. Phys. 37, 895 (1926). [8] W. Gordon, Z. Phys. 40, 117 (1926). [9] P. A. M. Dirac, Proc. R. Soc. Lond. A 117, 610 (1928). [10] L. H. Thomas, Nature 117, 514 (1926); Phil. Mag. 3, 1 (1927). [11] T. Aoyama et al., Phys. Rep. 887, 1 (2020). [12] J. D. Jackson, Classical Electrodynamics, 3rd ed., (Wiley, 1999), Ch. 6. [13] M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, (Westview Press, 1995), Ch. 2. [14] E. P. Wigner, Annals of Mathematics, 40 (1), 149 (1939).
[15] S. Weinberg, The Quantum Theory of Fields, Vol. I, (Cambridge Univ. Press, 1995), Ch. 2.[16] R. F. Streater and A. S. Wightman, PCT, Spin and Statistics, and All That, (Princeton Univ. Press, 1964). | ||
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