O. N. Gadomsky, “Two electron problem and the nonlocal equations of electrodynamics”, UFN, 170:11 (2000), 1145–1179; Phys. Usp., 43:11 (2000), 1071

Abstract: A survey is offered for the current knowledge of nonlocal electrodynamic equations which in some cases (e.g., in solving boundary value problems in optics) can replace Maxwell's equations. The nonlocal equations are derived using the semi-classical or quantum-electrodynamic approaches. The former involves an expansion of retarded potentials in appropriate parameters and a subsequent transition, to terms of order v² /c², to quantum mechanical operators in the Lagrangian of a system of moving charges. The latter approach is to consider second- and third-order quantum electrodynamic effects for two hydrogen-like atoms arbitrarily far apart. Various nonlocal equations are derived for the propagation of photons and electromagnetic waves in spin systems, dielectrics, and metals, taking into account a variety of quantum transitions and intermediate states in the spectrum of the interacting atoms. By combining nonlocal field equations with relevant constitutive equations, a number of typical boundary-value optical problems are solved for semi-infinite media, superthin films, and for objects whose linear dimensions are much smaller than the light wavelength.

This publication is cited in the following 57 articles:

O. N. Gadomskii, D. O. Musich, “Spin-spinovoe vzaimodeistvie prostranstvenno raznesennykh elektronnykh spinov v pole elektromagnitnogo izlucheniya”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2020, no. 4, 57–68
O. N. Gadomsky, D. O. Musich, “Subwavelength focusing of light reflected from a silver surface with a periodic structure”, JETP Letters, 110:2 (2019), 115–120
Averbukh B.B. Averbukh I.B., “Formation of the Reflected and Refracted S-Polarized Electromagnetic Waves in the Fresnel Problem For the Boundary Vacuum-Metamaterial From the Viewpoint of Molecular Optics”, Asia-Pacific Conference on Fundamental Problems of Opto- and Microelectronics, Proceedings of Spie, 10176, ed. Kulchin Y. Romashko R. Syuy A., Spie-Int Soc Optical Engineering, 2017, UNSP 101760I
Gadomsky O.N. Gadomskaya I.V. Shchukarev I.A., “The wave flow effect on a plane boundary between vacuum and an optical medium with a quasi-zero refractive index”, Opt. Spectrosc., 120:5 (2016), 781–787
Gadomsky O.N. Shchukarev I.A., “The light wave flow effect in a plane-parallel layer with a quasi-zero refractive index under the action of bounded light beams”, J. Exp. Theor. Phys., 123:2 (2016), 184–196
Averbukh B.B., Averbukh I.B., “Formation of the Reflected and Refracted S-Polarized Electromagnetic Waves in the Fresnel Problem from the Viewpoint of Molecular Optics”, Russ. Phys. J., 58:12 (2016), 1760–1766
O. N. Gadomsky, I. V. Gadomskaya, “Nonspecular reflection of light at an inhomogeneous interface between two media and in a nanostructured layer with a quasi-zero refractive index”, J. Exp. Theor. Phys, 120:2 (2015), 171
O. N. Gadomsky, G. V. Yakimov, I. A. Shchukarev, “Selective excitation of qubits and transfer of quantum information from one qubit to another”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2015, no. 3, 112–124
O.N. Gadomsky, S.N. Stepin, N.M. Ushakov, N.V. Gadomskaya, E.A. Pereskokov, “Enhancement and focusing of light in nanostructured quasi-zero-refractive-index films”, Optics Communications, 2014
Gadomsky O.N., Stepin S.N., Ushakov N.M., Gadomskaya N.V., Pereskokov E.A., “Enhancement and Focusing of Light in Nanostructured Quasi-Zero-Refractive-Index Films”, Opt. Commun., 330 (2014), 99–105
O. N. Gadomsky, I. V. Gadomskaya, E. G. Zubkov, A. A. Rusin, “Total internal reflection at a boundary between vacuum and an optical medium with quasi-zero refractive index”, JETP Letters, 98:1 (2013), 5–8
O.N.. Gadomsky, K.K.. Altunin, S.N.. Stepin, V.E.. Katnov, A.A.. Rusin, “Near-field effect in composite nanomaterials with a quasi-zero refractive index”, Optics Communications, 2013
Gadomskii O.N., Altunin K.K., Zubkov E.G., “Radiatsionnaya teoriya metallicheskogo klastera”, Izvestiya vysshikh uchebnykh zavedenii. povolzhskii region. fiziko-matematicheskie nauki, 2012, no. 3, 144–152
Shalin A.S., “Absolyutno prozrachnyi nanomaterial”, Nanotekhnologii: razrabotka, primenenie - XXI vek, 4:1 (2012), 43–44
O. N. Gadomskii, K. K. Altunin, E. G. Zubkov, “Radiatsionnaya teoriya metallicheskogo klastera”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2012, no. 3, 144–152
O. N. Gadomskii, K. K. Altunin, A. A. Rusin, O. V. Lebedev, “Umenshenie estestvennoi shiriny atomnykh urovnei v nanostrukturnykh sistemakh”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2012, no. 3, 153–163
Shalin A.S., “Optical Properties of Nanocrystal Layers Embedded in a Carrier Medium”, J. Commun. Technol. Electron., 56:1 (2011), 14–26
Shalin A.S., Gorokhovskii A.V., “Kvaziklassicheskaya teoriya opticheskikh svoistv nanoklasterov nikelya”, Nanotekhnika, 2011, no. 1, 42–49
V. Yu. Lazur, O. F. Pavlik, A. K. Reity, “The relativistic operator of interaction of two quasimolecular electrons as a third-order effect of quantum electrodynamics”, Theoret. and Math. Phys., 165:1 (2010), 1293–1314
Lazur V.Yu., Myhalyna S.I., Reity O.K., “The Generalized Breit Operator of a Long-Range Type in the Framework of the Second-Order Effects of Quantum Electrodynamics”, Int. J. Mod. Phys. A, 25:25 (2010), 4775–4800