Journals / Turkish Journal of Physics / 2016 / Cilt: 40 - Sayı: 3

Validity of Ehrenfest's theorem for generalized elds of dyons

Pages
244–255
Publication Date
2022-11-05
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

It is shownthat the expectation value of the quantum equation of motion reproduces the classical equation of motion, which is thegeneralized form of Ehrenfest's theorem in quantum eld theory.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The validity of Ehrenfest's theorem with its classical correspondence has been justi ed for the manifestlycovariant equations of dyons.
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Key Findings & Data:Applying the Gupta subsidiary condition wehave extended the validity of the Ehrenfest's theorem forU(1) U(1) Abelian gauge theory of dyons.
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Conclusion & Impact:It is shownthat the expectation value of the quantum equation of motion reproduces the classical equation of motion, which is thegeneralized form of Ehrenfest's theorem in quantum eld theory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The validity of Ehrenfest's theorem with its classical correspondence has been justi ed for the manifestlycovariant equations of dyons. We have also developed accordingly the Lagrangian formulation for electromagnetic eldsin a minimum coupled source giving rise to conserved current of dyons. Applying the Gupta subsidiary condition wehave extended the validity of the Ehrenfest's theorem forU(1) U(1) Abelian gauge theory of dyons. It is shownthat the expectation value of the quantum equation of motion reproduces the classical equation of motion, which is thegeneralized form of Ehrenfest's theorem in quantum eld theory.

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Cite This Article

KARNATAK, G., BISHT, P. S., NEGI, P. S. O. (2022). Validity of Ehrenfest's theorem for generalized elds of dyons. Turkish Journal of Physics, Cilt: 40 - Sayı: 3, 244–255. https://ajindex.com/articles/614029

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References (1)

  1. Alonso,V.; Vincenzo, S. De; Gonzalez, D.Letter IL Nuovo Cimento.2000,115,155-164. [2]Ehrenfest, P.Zeits f. Physik.1927,45,455-457. [3]Zwanziger, D.Phys. Rev.1976,D14,2570 NYU/TR13/75. [4]Thiemann, T.; Winkler O.arXiv:hep-th/0005234v1,25 May 2000. [5]Parthasarathy, R.The Legacy of Alladi Ramakrishanan in Mathematical Sciences,2010,4,565-575. [6]Gupta, S. N.Proc. Phys. Soc.1950,A63,681-691. [7]Bleuler, K.Helv. Phys. Acta.1950,23,567-586.[8]Nahanishi N.Prog. Theo. Phys.1966,35,1111-1116. [9]Cahill, K.Letter IL Nuovo Cimento.1977,20,155-232. [10]Loinger, A.Letter IL Nuovo Cimento.1983,73,54-62. [11]de Melo, C. A. M.; Pimentel, B. M.; Pompeia, P. J.arXiv:hep-th/0502229v1,25 February 2005. [12]Suzuki, A.Hokkaido University, Sapporo, Japan,060-0810 Preprint. [13]Dirac, P. A. M.Proc. Roy. Soc.1931,A133,60-72. [14]Dirac, P. A. M.Phys. Rev.1948,74,817-830. [15]Hooft, G.' tNucl. Phys.1974,B79,276-284. [16]Polyakov, A. M.JETP Lett.1974,20,194-195. [17]Schwinger, J.;Phys. Rev.1966,144,1087-1093. [18]Schwinger, J.Phys. Rev.1966,151,1048-1054. [19]Schwinger, J.;Phys. Rev.1966,151,1055-1057. [20]Schwinger, J.Phys. Rev.1969,165,757-761. [21]Zwanziger, D.Phys. Rev.1965,B137,647-654. [22]Zwanziger, D.Phys. Rev.1968,176,1480-1489. [23]Julia, B.; Zee, A.Phys. Rev.1980,D21,2940 HUTP-79/A071. [24]Prasad, M.; Sommer eld, C.Phys. Rev. Lett.1975,35,760. [25]Bisht, P. S.; Negi O. P. S.; Rajput, B. S.Indian J. of Pure and Appl. Phys.1993,24,543-549. [26]Singh, J.; Bisht, P. S.; Negi, O. P. S.J. Phys. A. Math. and Theor. Phy.2007,40,11395-11406. [27]Singh, J.; Bisht, P. S.; Negi, O. P. S.J. Phys. A. Math. and Theor Phy.2007,40,9137-9148. [28]Sieberg, N.; Witten, E.Nucl. Phys.1994,B246,19-52. [29]Sieberg, N.; Witten, E.Nucl. Phys.1994,B431,484-550. [30]Intriligator, K.; Seiberg, N.Nucl. Phys. Proc. Suppl.1996,BC 45,1-28. [31]Ketov, S. V.arXiv hep-th/9611209.[32]Olive, D. I.arXiv hep-th/9508089. [33]Alvarez Gaume, L.; Hasan, S. F.Fortsch. Phys.1997,45,159-236. [34]Kiritsis, E.;arXiv hep-th /9911525. [35]Figueroa, J.M.; Farril, O.arXiv hep-th /9710082. [36]Harvey, J. A.;arXiv hep-th/9603086. [37]Kapustin, A.; Witten, E.arXiv hep-th/0604151. [38]Vecchia, P. D.arXiv hep-th /9608090. [39]Negi, O. P. S.; Karnatak, Gaurav.; Dehnen, H.; Bisht, P. S.Intern. Journ. of Theor. Phys.2011,50,1908-1918. [40]Smith, H.World Scienti c Pub Co Inc.1991. [41]Gilmore, R.Lecture Notes PHYS 517,Drexel University: Koofers Quantum Mechanics II.