Nonlocal Electrodynamics and Relativistic Invariants

The article considers communication relativistic invariants and correlations between the charged particles when they are current carriers. Such correlation takes place at abnormal skin effect and superconductivity. Dependence conductivity from frequency, wave vector and parameters of the influence function was obtained. The author have examined the characteristic wave vectors and characteristic frequencies as parameters of the influence function depending on the difference of the world coordinates for pair of points. Characteristic frequencies and vectors are set as function ofparameters of current carriers, namely: the time and length offree path, a cyclotron frequency and a cyclotron radius, the spin cyclotron frequency and spin cyclotron radius. The result has generalized on a case of any number of electronic groups. It has been shown that the considered pair correlations of current carriers correspond to the description of superconductivity and abnormal skin effect.

References

[1] Lifshits I.M., Azbel’ M.Ya., Kaganov M.I. Elektronnaya teoriya metallov [Electron theory of metals]. Moscow, Nauka Publ., 1971. 209 р.

[2] De Gennes P.O. Superconductivity of metals and alloys. N.Y. - Amsterdam, W.A. Benjamin, Inc., 1966. 274 р. (Russ. ed.: De Zhen P. Sverkhprovodimost’ metallov i splavov. Per s angl. Moscow, Mir Publ., 1968. 280 p.).

[3] Berger J.D., Gieben H., Meystre P., Nelson T., Haycock D., Hamann S. Effects of dissipation on nonlocal microwave fields. Phys. Rev. A, 1995, vol. 51, no. 3, pp. 2482-2490. DOI: http://dx.doi.org/10.1103/PhysRevA.51.2482

[4] Landau L.D., Lifshits E.M. Teoreticheskaya fizika v 10 t. T. 2. Teoriya polya [Theoretical physics. In 10 volums. Vol. 2. The theory of field]. Moscow, Fizmatlit Publ., 2006. 534 p. (Eng. ed.: Landau L.D., Lifshitz E.M. Course of theoretical physics. Vol. 2. The Classical Theory of Fields. 4th ed. Butterworth-Heinemann.1975.).

[5] Akhiezer A.I., Berestetskiy V.B. Kvantovaya elektrodinamika [Quantum electrodynamics]. Moscow, Nauka Publ., 1981. 437 р.

[6] Mamica S., Puszkarski H., Levy J.C.S. The role of next-nearest neighbours for the existence conditions of subsurface spin waves in magnetic films. Phys. Stat. Sol. (b), 2000, vol. 218, iss. 2, рр. 561-569. DOI: 10.1002/1521-3951(200004)218:2<561::AID-PSSB561>3.0.CO;2-Q

[7] Yurasov N.I. Mirror spectral crossover in magnetized conductor. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2004, no. 4 (15), pp. 124-126 (in Russ.).

[8] Yurasov N.I. The conditions for the formation of dynamic superstructures on spin waves in a magnetized ferromagnetic conductor. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2005, no. 4 (19), pp. 26-32 (in Russ.).

[9] Yurasov N.I. Negative refractive index in magnetic semiconductors. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2011, no. 2 (41), pp. 121-124 (in Russ.).

[10] Yurasov N.I., Yurasova I.I. Influence of the carbon film nanostructures on the reflection coefficient of the photonic crystal made of artificial opal. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2012, no. 1 (44), pp. 30-35 (in Russ.).