Abstract
In the present article we propose an explicitly covariant formulation of several energy-momentum-stress balance equations, involving different force densities, deduced from the macroscopic Maxwell equations. These force densities depend on how Maxwell's equations are written in terms of the electromagnetic fields E, H, D, and B, and the polarizations P and M. We find that several energy-momentum-stress tensors are involved in these balance equations. The three tensors implied by these balance equations result symmetrical. In this way the old A-M controversy can be seen under a new light.
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J.L. Jiménez, I. Campos, M.A. López-Mariño, Eur. Phys. J. Plus 126, 50 (2011) DOI:10.1140/epjp/i2011-11050-8.
J.L. Jiménez, I. Campos, M.A. López-Mariño, Eur. Phys. J. Plus 128, 46 (2013) DOI:10.1140/epjp/i2013-13046-8.
A. Einstein, J. Laub, Ann. Phys. 331, 532 (1908) (the English translation of this paper appears in Einstein's Collected Papers.
S.M. Barnett, Trans. R. Soc. A 368, 927 (2010) DOI:10.1098/rsta.2009.0207.
L.D. Landau, E.M. Lifshitz, L.P. Pitaevski, Electrodynamics of Continuous Media (Pergamon Press, Oxford, 1984).
C. Møller, The Theory of Relativity (Oxford, London, 1972).
W. Pauli, Theory of Relativity (Pergamon, London, 1958) translated from Encyklopedia der Mathematischen Wissenschaften, Vol. V19 (Tuebner, Leipzig, 1921) with supplementary notes by the author (1956).
M.A. López-Mariño, J.L. Jiménez, Found. Phys. Lett. 17, 1 (2004).
J.L. Jiménez, I. Campos, M.A. López-Mariño, Eur. J. Phys. 32, 739 (2011).
M.A. López-Mariño, J.L. Jimenez, I. Campos, Nuovo Cimento B 125, 361 (2010).
H.M. Lai, W.M. Suen, K. Young, Phys. Rev. A 25, 1755 (1982).
S. Coleman, J.H. Van Vleck, Phys. Rev. 171, 1370 (1968).
O. Costa de Beauregard, Phys. Lett. A 24, 177 (1967).
Y. Aharonov, P. Pearle, L. Vaidman, Phys. Rev. A 37, 4052 (1988).
L. Veidman, Am. J. Phys. 58, 978 (1990).
J.A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
J.L. Jiménez, I. Campos, The Balance of Energy and Momentum in Classical Electrodynamics in Advanced Electromagnetism: Foundations, Theory and Applications, edited by T. Barret, D. Grimes (World Scientific, New Jersey, 1995).
M. Mansuripur, Phys. Rev. Lett. 108, 193901 (2012).
F.N.H. Robinson, Phys. Rep. C 16, 313 (1975).
W. Schockley, R.P. James, Phys. Rev. Lett. 18, 876 (1967).
J.L. Anderson Principles of relativity physics (Academic Press, New York, 1967).
W.K.H. Panofsky, M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, MA, 1962).
I. Campos, J.L. Jiménez, M.A. López Mariño, J. Phys. Sci. Appl. 2, 4 (2012).
I. Campos, J.L. Jiménez, M.A. López Mariño, Rev. Bras. Ens. Fis. 34, 2303 (2012).
P.A.M. Dirac, Phys. Rev. 74, 817 (1948).
N. Cabbibo, Nuovo Cimento 23, 1147 (1962).
F. Rohrlich, Phys. Rev. 150, 1104 (1966).
S.M. Barnett, Phys. Rev. Lett. 104, 070401 (2010).
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Jiménez, J.L., Campos, I. & López-Mariño, M.A. Several energy-momentum-stress balance equations deduced from Maxwell's equations in material media. Non-covariant and explicitly covariant formulation. Eur. Phys. J. Plus 128, 129 (2013). https://doi.org/10.1140/epjp/i2013-13129-6
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DOI: https://doi.org/10.1140/epjp/i2013-13129-6