{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-09-15T10:44:13","modified_gmt":"2026-09-15T14:44:13","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/shabanov\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<section class=\"fullwidth-text-block\"><div class=\"container px-0\"><div class=\"row align-items-start\"><div class=\"col-12\">\n<h1 class=\"wp-block-heading\">Publications<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><a href=\"https:\/\/scholar.google.com\/scholar?hl=en&amp;as_sdt=0%2C10&amp;q=shabanov+sv&amp;oq=\">by Google Scholar<\/a><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Monographs<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&#8211;<\/strong><em><strong> Hamiltonian mechanics of gauge systems<\/strong>,<\/em> Cambridge Monographs on Mathematical Physics,<br> Cambridge University Press, Cambridge, 2011; 480 pages, ISBN 9780521895125<br> [with L. V. Prokhorov].<br><em> <strong>&#8211; Hamiltonian dynamics of systems with a gauge symmetry<\/strong>,<\/em><br> JINR Publishing Department, B1-2-93-312, Dubna, 1993; 327 pages (in Russian)<br> First Edition: St.-Petersburg University Press, St.-Petersburg, 1997; 292 pages (in Russian)<br> Second Edition: URSS Press, Moscow, 2006; 292 pages (in Russian)<br> [with L. V. Prokhorov]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Textbooks<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em><strong>&#8211; <a href=\"https:\/\/people.clas.ufl.edu\/shabanov\/calculus-iii-textbook\/\">Concepts in Calculus III. Multivariable calculus<\/a><\/strong>, <\/em>University Press of Florida, Gainesville, USA, 2012; 650 pages<br><em> <strong>&#8211;&nbsp;<\/strong><a href=\"https:\/\/people.clas.ufl.edu\/shabanov\/calculus-iii-textbook\/\"><strong>Concepts in Calculus II<\/strong><\/a>,<\/em> University Press of Florida, Gainesville, USA, 2012; 250 pages<br> [with M. Bona]<br><em> <strong>&#8211;<a href=\"https:\/\/people.clas.ufl.edu\/shabanov\/calculus-iii-textbook\/\">Concepts in Calculus I<\/a><\/strong>,<\/em> University Press of Florida, Gainesville, USA, 2011; 180 pages<br> [with M. Bona]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>&#8211; <strong>Distributions and Operators for Physicists<\/strong>,<\/em> Lecture notes for MAP 6505-6 (UF), 2026; about 900 pages [work in progress, under a textbook contract with a publisher]<br><em> <strong>&#8211; Introduction to Partial Differential Equations<\/strong>,<\/em> Lecture Notes for the course MAP 4341\/5345 (University of Florida), 2026; about 500 pp [work in progress]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Lecture Notes and Chapters in Books<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em><strong>&#8211; A brief introduction in the path integral formalism<\/strong>,<\/em> Valencia university preprint, FTUV-9 6-18, IFIC-96-20, Burjassot, 1996; 106 pages;<br><em> <strong>&#8211; Lectures on quantization of gauge theories by the path integral method<\/strong>, <\/em>in: Proceedings of the 4th Hellenic school on high energy physics, National Technical University of Athens, Vol. 2, pp. 272 -305 (Ed. E.N. Gazis, G. Koutsoumbas, N.D. Tracas, and G. Zoupanos) , Athens, 1994 (in Corfu 1992; Elementary Particle Physics, Vol. 1; pp 272 &#8211; 356)<br><em> <strong>&#8211; The gauge invariance, toroid order parameters and radiation in electromagnetic theory<\/strong>,<\/em><br> in: Essays on Formal Aspects of Electromagnetic Theory (ed. by A.Lakhtakia), World Scientific, New Jersey, 1993, pp. 399-474<br> [with V. M. Dubovik]<br><em> <strong>&#8211; Phase space structure in gauge theories<\/strong>,<\/em> JINR series &#8220;Lectures for Young Scientists&#8221;, P2-89-533, JINR, Dubna, 1989; 84 pages<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Invited Review Papers<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em><strong>&#8211; Resonant light scattering and higher harmonic generation by periodic subwavelength arrays<\/strong>,<\/em><br> Int. J. Mod. Phys. B 23 (2009) 5191-5239<br><em> <strong>&#8211; Geometry of the physical phase space in quantum gauge systems<\/strong>,<\/em><br> Physics Reports 326 (2000) 1 &#8211; 163<br><em> <strong>&#8211; 2D Yang-Mills theories, gauge orbit spaces and the path integral quantization<\/strong>,<\/em><br> Commun. Theor. Phys. 4 (1995) 1 &#8211; 38<br><em> <strong>&#8211; Phase space structure in mechanical models with a gauge group<\/strong>,<\/em><br> Sov. Phys. Uspekhi, 34(2) (1991) 108-140<br> [with L. V. Prokhorov]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Papers<\/h3>\n<p><em><strong>&#8211; Affine Symplectic Structures in Gauge Systems,<\/strong><\/em><br>Geometric Methods in Physics XLII, Trends in Mathematics, Birkhauser, 115-128 (2026)<br><em>&#8211; <strong>Elastic Wave Scattering off a Single and Double Array of Periodic Defects<\/strong><\/em><strong><br> <\/strong>Mathematics, MPDI, Math. Phys. (2024) 12(21): 3425. https:\/\/doi.org\/10.3390\/math12213425<br> [with O.Haq]<br><em> <strong>&#8211; Bound states in the continuum in elasticity<\/strong>,<\/em><br> Wave Motion (2021) 103: 102718<br> [with O.Haq]<br><em> <strong>&#8211; An Introduction to Coordinate Free Quantization and its Application to Constrained Systems 1<\/strong><\/em><br> Mathematical Methods of Quantum Physics: 2nd Jagna International Workshop, CRC Press (2020), pp. 117-130<br> [with J.R. Klauder]<br><em> <strong>&#8211; Concurrent atomistic-continuum modeling of crystalline materials<\/strong>,<\/em><br> Journal of Applied Physics (2019) 126: 101101<br> [with Y. Cheng and D.L. McDowell]<br><em><strong> &#8211; Equilibrium chemistry in BCl_3H_2Ar plasma,<\/strong><\/em><br> Plasma Chem. and Plasma Proc. (2019) 39: 1087-1102<br> [with I.B. Gornushkin and P.G. Sennikov]<br><strong><em> &#8211; Error analysis in optimization problems relevant for calibration-free laser-induced breakdown spectroscopy,<\/em><\/strong><br> J. Quant. Spectrosc. Rad. Trans. (2019) 222-223: 236-246<br> [with J.J. Maali]<br><strong><em> &#8211; Chemistry in laser-induced plasmas at local thermodynamic equilibrium<\/em><\/strong><br> Appl. Phys. A (<span class=\"ArticleCitation_Year\">2018) 124: 716<\/span><br> [with I.B. Gornushkin]<br><strong><em> &#8211;&nbsp;<span style=\"font-size: small\">Geometrical effects in data collection and processing for&nbsp; calibration-free laser-induced breakdown spectroscopy<\/span> ,<\/em><\/strong><br> J. Quant. Spectrosc. Rad. Trans. (2018) 204: 190-205<br> [with I.B. Gornushkin]<br><strong><em> &#8211; Anions in laser-induced plasmas,<\/em><\/strong><br> Appl. Phys. A (2016) 122: 676<br> [with I.B. Gornushkin]<br><strong><em> &#8211; Modeling chemical reactions in laser-induced plasmas,<\/em><\/strong><br> Appl. Phys. A (2015) 121:1087\u20131107<br> [with I.B. Gornushkin]<br><strong><em> -Two-dimensional axisymmetric models of laser induced plasmas relevant to laser induced breakdown spectroscopy,<\/em><\/strong><br> Spectrochimica Acta Part B: Atomic Spectroscopy, 100 (2014) 147-172<br> [with I.B. Gornushkin]<br><strong><em> &#8211; Electromagnetic Siegert states for periodic dielectric structures,<\/em><\/strong><br> J. Math. Phys. (submitted)<br> [with R. F. Ndangali]<br><strong><em> &#8211; The resonant nonlinear scattering theory with bound states in the radiation continuum and the second harmonic generation ,<\/em><\/strong><br> Proc. SPIE 8808, Active Photonic Materials V, 88081F (September 11, 2013), 18 pages, DOI:10.1117\/12.2028277;<br> [with R. F. Ndangali]<br><strong><em> &#8211; Tomography of Single and Double Pulse laser induced plasma using the Radon transform, <\/em><\/strong><br> J. Anal. Atom. Spectr., Spectrochim. Acta Part B: Atom. Spectr. (2012), DOI information: 10.1016\/j.sab.2012.06.033<br> [with I.B. Gornushkin, S. Merk, A. Demidov, U. Panne, B.W. Smith, and N. Omenetto]<br><strong><em> &#8211; Absorption tomography of laser induced plasmas,<\/em><\/strong><br> J. Quan. Spectr. Rad. Trans. 113 (2012) 518-523.<br> [with I.B. Gornushkin]<br><strong><em> &#8211; Laser-induced plasma tomography by the Radon transform,<\/em><\/strong><br> J. Anal. Atom. Spectr. 26 (2011) 2483-2492.<br> [with I.B. Gornushkin, S. Merk, and U. Panne]<br><strong><em> &#8211; Emission plasma tomography with large acceptance angle apertures relevant to laser induced plasma spectroscopy,<\/em><\/strong><br> Spectrochimica Acta Part B: Atomic Spectroscopy, 66 (2011) 413-420<br> [with I.B. Gornushkin]<br><strong><em> &#8211; Abel inversion applied to a transient laser induced plasma: implications from plasma modeling,<\/em><\/strong><br> J. Anal. At. Spectrom., 26 (2011) 1457-1465<br> [with I.B. Gornushkin and U. Panne]<br><strong><em> &#8211; Electromagnetic bound states in the radiation continuum for periodic double arrays of subwave-<br> length dielectric cylinders,<\/em><\/strong><br> J. Math. Phys. 51 (2010) 102901<br> [with R. F. Ndangali]<br><strong><em> &#8211; Effects of non-uniformity of laser induced plasma on plasma temperature and concentrations<br> determined by the Boltzmann plot method: Implications from plasma modeling,<\/em><\/strong><br> J. Anal. Atom. Spectr. 25 (2010) 1643-1653<br> [with I. B. Gornushkin, S. Merk, E. Tognoni, and U. Panne]<br><strong><em> &#8211; The flip-over effect in self-similar laser-induced plasma expansion,<\/em><\/strong><br> J. Math. Phys. 49, 093101 (2008)<br> [with N P Baxter]<br><strong><em> &#8211; Bound States in the Continuum in Photonics,<\/em><\/strong><br> Phys. Rev. Lett. 100, 183902 (2008)<br> [with A. G. Borisov and D. C. Marinica]<br><strong><em> &#8211; Radiation from asymmetric laser-induced plasmas collected by a lense or optical fiber,<\/em><\/strong><br> Appl. Optics, 47, 1745 (2008)<br> [with I. B. Gornushkin and J. D. Winefordner]<br><strong><em> &#8211; Second harmonic generation from arrays of subwavelength cylinders,<\/em><\/strong><br> Phys. Rev. B 76, 085311 (2007)<br> [with D. C. Marinica and A. G. Borisov]<br><strong><em> &#8211; Trapped electromagnetic modes and scaling in the transmittance of perforated metal films,<\/em><\/strong><br> Phys. Rev. Lett. 97 (2006) 67403<br> [with S. Selcuk, K. Woo, D. B. Tanner, A. F. Hebard, and A. G. Borisov]<br><strong><em> &#8211; Non-isothermal asymmetric expansion of laser induced plasmas into vacuum,<\/em><\/strong><br> J. Appl. Phys. 100 (2006) 073304<br> [with I. B. Gornushkin, N. Omenetto, and J. D. Winefordner]<br><strong><em> &#8211; Wave packet propagation by the Faber polynomial approximation in electrodynamics of passive media,<\/em><\/strong><br> J. Comput. Phys. 216 (2006) 391-402<br> [with A. G. Borisov]<br><strong><em> &#8211; Tunneling mechanism of light transmission through metallic films,<\/em><\/strong><br> Phys. Rev. Lett. 95 (2005) 067403-1<br> [with F.G. Garcia de Abajo, G. Gomeez-Santos, L.A. Blanco, and A.G. Borisov]<br><strong><em> &#8211; Role of electromagnetic trapped modes in extraordinary transmission in nanostructured materials,<\/em><\/strong><br> Phys. Rev. B 71 (2005) 075408<br> [with A. G. Borisov and F.J. Garcia de Abajo]<br><strong><em> &#8211; Lanczos Pseudospectral Method for Initial-Value Problems in Electrodynamics and its Applica-<br> tions to Ionic Crystal Grating,<\/em><\/strong><br> J. Comput. Phys. 209 (2005) 643-664<br> [with A. G. Borisov]<br><strong><em> &#8211; Applications of the wave packet method to resonant transmission and reflection gratings,<\/em><\/strong><br> J. Comput. Phys. 199 (2004) 742-762<br> [with A. G. Borisov]<br><strong><em> &#8211; An application of interpolating scaling functions to wave packet propagation,<\/em><\/strong><br> Comput. Phys. Commun. 160 (2004) 1-7<br> [with A. G. Borisov]<br><strong><em> &#8211; The wave packet propagation using wavelets,<\/em><\/strong><br> Chem. Phys. Lett. 361 (2002) 15-20<br> [with A. G. Borisov]<br><strong><em> &#8211; On a low energy bound in a class of chiral field theories with solitons,<\/em><\/strong><br> J. Math. Phys. 43 (2002) 4127-4134<br><strong><em> &#8211; Infrared Yang-Mills theory as a spin system. A lattice approach,<\/em><\/strong><br> Phys. Lett. B 522 (2001) 201-209<br><strong><em> &#8211; Charge transfer interaction in the F- -Cu(111) and -Ag(111) systems: Treatment of the fluorine<br> quasi-equivalent electrons,<\/em><\/strong><br> Surf. Sci. 487 (2001) 243-257<br> [with A. G. Borisov and J. P. Gauyacq]<br><strong><em> &#8211; Yang-Mills theory as an Abelian theory without gauge fixing,<\/em><\/strong><br> Phys. Lett. B 463 (1999) 263-272<br><strong><em> &#8211; An effective action for monopoles and knot solitons in Yang-Mills theory,<\/em><\/strong><br> Phys. Lett. B 458 (1999) 322-330<br><strong><em> &#8211; The inverse variational problem for autoparallels,<\/em><\/strong><br> J.Phys.A: Math.Gen. 32 (1999) 5355-5366<br> [with C. Maulbetsch]<br><strong><em> &#8211; Towards a nonperturbative path integral in gauge theories,<\/em><\/strong><br> Phys. Lett. B 456 (1999) 38-47<br> [with J. R. Klauder]<br><strong><em> &#8211; BRST inner product spaces and the Gribov obstruction,<\/em><\/strong><br> Nucl. Phys. B 538 (1998) 485-514<br> [with N. Duechtig and T. Strobl]<br><strong><em> &#8211; Path Integral Quantization and Riemannian-Symplectic Manifolds,<\/em><\/strong><br> Phys. Lett. B 435 (1998) 343-349<br> [with J. R. Klauder]<br><strong><em> &#8211; Constrained Systems and Analytical Mechanics in Spaces with Torsion,<\/em><\/strong><br> J. Phys. A: Math. Gen. 31 (1998) 5177 &#8211; 5190<br><strong><em> &#8211; Brownian Motion of Massive Particle in a Space with Curvature and Torsion and Crystals with<br> Defects,<\/em><\/strong><br> J. Phys. A: Math. Gen. 31 (1998) 7005-7009<br> [with H. Kleinert]<br><strong><em> &#8211; Spaces with Torsion from Embedding and the Special Role of Autoparallel Trajectories,<\/em><\/strong><br> Phys. Lett. B 428 (1998) 315-321<br> [with H. Kleinert]<br><strong><em> &#8211; Coordinate-Free Quantization of Second-Class Constraints,<\/em><\/strong><br> Nucl. Phys. B 511 (1998) 713-736<br> [with J. R. Klauder]<br><strong><em> &#8211; Gribov vs BRST,<\/em><\/strong><br> Ann. Phys. (NY), 263 (1998) 119-132<br> [with F. G. Scholtz]<br><strong><em> &#8211; Supersymmetry in Stochastic Processes with Higher Order Time Derivatives,<\/em><\/strong><br> Phys. Lett. A 235 (1997) 105-112<br> [with H. Kleinert]<br><strong><em> &#8211; Proper Dirac Quantization of Free Particle on D-dimensional Sphere,<\/em><\/strong><br> Phys. Lett. A 232 (1997) 327-332<br> [with H. Kleinert]<br><em> <strong>&#8211; Coordinate-free quantization of first-class constrained systems<\/strong>,<\/em><br> Phys. Lett. B 398 (1997) 116<br> [with J. R. Klauder]<br><em> <strong>&#8211; Dynamical Abelian projection of gluodynamics<\/strong>,<\/em><br> Nucl. Phys. Proc. Suppl. 54A (1997) 213-216<br><em> <strong>&#8211; Abelian projection and numerical studies of gauge-variant quantities in lattice QCD without<br> gauge fixing<\/strong>,<\/em><br> Mod. Phys. Lett. A 11 (1996) 1081-1093<br><em> <strong>&#8211; Quantum Langevin equation from forward-backward path integral<\/strong>,<\/em><br> Phys. Lett. A 200 (1995) 224-232<br> [with H. Kleinert]<br> <em><strong>&#8211; q-oscillators, (non-)Kaehler manifolds and constrained dynamics<\/strong>,<\/em><br> Mod. Phys. Lett. A 10 (1995) 941-948<br><em> <strong>&#8211; String-like excitations in quantum electrodynamics<\/strong>,<\/em><br> Theor. Math. Phys. (USSR), 97 (1993) 1323-1423<br> [with L. V. Prokhorov and D. V. Fursaev]<br><em> <strong>&#8211; Phase space structure and the path integral for gauge theories on a cylinder<\/strong>,<\/em><br> Phys. Lett. B 318 (1993) 323-330<br><em> <strong>&#8211; Quantum and classical dynamics of q-deformed systems<\/strong>,<\/em><br> J. Phys. A: Math. Gen. 26 (1993) 2583-2606<br><em> <strong>&#8211; The Poisson bracket for q-deformed systems<\/strong>,<\/em><br> J.Phys. A: Math.Gen. 25 (1992) L1245-L1250<br><em> <strong>&#8211; Path integral for the q-deformed oscillator and its interpretation<\/strong>,<\/em><br> Phys. Lett. B 293 (1992) 117-122<br><em> <strong>&#8211; String-like excitations in QED<\/strong>,<\/em><br> Mod. Phys. Lett. A 7 (1992) 3441-3447<br> [with D. V. Fursaev and L. V. Prokhorov]<br><em> <strong>&#8211; Invariant structures in gauge theories and confinement<\/strong>,<\/em><br> Int. J. Mod. Phys. A 7 (1992) 7815-7840,<br> [with L V Prokhorov]<br><em> <strong>&#8211; Non-perturbative Green functions in quantum gauge theories<\/strong>,<\/em><br> Mod. Phys. Lett. A 6 (1991) 909-921<br><em> <strong>&#8211; The phase space structure in minisuperspace cosmological models<\/strong>,<\/em><br> Phys. Lett. B 272 (1991) 11-16<br><em> <strong>&#8211; Quantization of constrained systems and path integral in curvilinear supercoordinates<\/strong><\/em>,<br> J. Phys. A: Math. Gen. 24 (1991) 1199-1214<br><em> <strong>&#8211; Phase space reduction and the choice of physical variables in gauge theories<\/strong>,<\/em><br> Int. J. Mod. Phys. A 6 (1991) 845-863<br><em> <strong>&#8211; Path integral for the Yang-Mills theory in a non-perturbative region<\/strong>,<\/em><br> Phys. Lett. B 255 (1991) 398-404<br><em> <strong>&#8211; Transverse-longitudinal part of the vector potential in classical electrodynamics<\/strong>,<\/em><br> J. Phys. A: Math. Gen. 23 (1990) 3245-3255; Erratum: ibid. A 24 (1991) 523<br> [with V. M. Dubovik]<br><em> <strong>&#8211; Pecularities of the dynamics of fermi-systems with a gauge group (on the nature of the Higgs field)<\/strong>,<br> Vestnik LGU, ser.4, 4 (1990) 3-7<\/em><br> [with L. V. Prokhorov]<br><em> <strong>&#8211; On quantum mechanics of systems with a gauge group<\/strong>,<\/em><br> Theor. Math. Phys. (USSR) 78 (1989) 292-312<br><em> <strong>&#8211; Free-field potentials in electrodynamics<\/strong>,<\/em><br> Phys. Lett. A 142 (1989) 211-214<br> [with V. M. Dubovik]<br><em> <strong>&#8211; The role of the Weyl group in gauge theories<\/strong>,<\/em><br> Phys. Lett. B 216 (1989) 341-344<br> [with L .V. Prokhorov<br><em> <strong>&#8211; Path integral for quantum mechanical systems with an arbitrary gauge group<\/strong>,<\/em><br> Vestnik LGU, ser.4, 11 (1988) 8-14 (in Russian)<br> [with L. V. Prokhorov]<br><em> <strong>&#8211; Hamiltonian path integral for systems with conic phase space<\/strong>,<\/em><br> Vestnik LGU, ser.4, 4 (1988) 68-71 (in Russian)<br> [with L. V. Prokhorov]<br><em> <strong>&#8211; Dynamical systems with a gauge group<\/strong>,<\/em><br> VINITI, 7961-B87, Leningrad, 1987 (in Russian) (57 pp)<br> [with L. V. Prokhorov]<br><em> <strong>&#8211; On vortex rings<\/strong>,<\/em><br> Kvant, issue 11, (1979) 17-21<br> [with V. Shubin]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Proceedings of Conferences (16)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em><strong>&#8211; On an effective action of monopoles in Abelian projections of Yang-Mills theories<\/strong>,<\/em><br> in: 11th Rencontres de Blois: Frontiers of Matter, Ed. Tran Thanh Van, Jean (The Gioi Publishers, Vietnam, 2001), p. 315-320; on-line LANL electronic archive: hep-th\/0004135 (The proceedings of the conference &#8220;Frontiers of Matter&#8221;, June 1999, Blois, France)<br><em> <strong>&#8211; An Introduction to Coordinate-free Quantization and its Application to Constrained Systems<\/strong>,<\/em><br> in: Mathematical Methods of Quantum Physics, Eds. C C Bernido et al, (Gordon and Breach Science Publishers, Amsterdam, 1999), pp. 117-130. (The proceedings of a workshop, Janga, Bohol, Philippines, January, 1998)<br> [with J. R. Klauder]<br> <strong>&#8211; Path integral in holomorphic representation without gauge fixation<\/strong>,<br> in: The Proceedings of &#8220;Path Integrals 96&#8221;, (ed. by V S Yarunin and M A Smondyrev) JINR, Dubna, 1996, p. 133-138 (JINR preprint, E2-89-687); on-line LANL electronic archive: quant-ph\/9608018.<br> <strong>&#8211; Confinement in 3D gluodynamics as a 2D critical phenomenon<\/strong>,<br> in: The Proceedings of &#8220;Quark Confinement&#8221;, Como, Italy, June, 1996 (World Scientific, Singapore, 1997); p. 242-245; on-line LANL electronic archive: hep-th\/9701006<br> [with A. Ferrando and A. Jaramillo]<br> <strong>&#8211; SUSY quantization of gauge theories and applications<\/strong>,<br> in: The Proceedings of 2nd Sakharov Conference on Physics, Moscow, May, 1996, ed. I M Dremin and A M Semikhatov (World Scientific, Singapore, 1997); p. 558-561; on-line LANL electronic archive: hep-th\/9606074<br> [with F. G. Scholtz]<br> <strong>&#8211; Dirac potentials in gauge models<\/strong>,<br> in: Group Theoretical Methods in Physics (Yamada conference on Mathemathical Physics, Kyoto, Japan), ed. by A Arima et al, World Scientific, Singapore, 1995, p.423-427<br> <strong>&#8211; A transition amplitude on the gauge orbit space<\/strong>,<br> in: Constraint Theory and Quantization Methods (Montepulciano, Italy), ed. by F Colomo et al, World Scientific, Singapore, 1994, p.176-189<br> <strong>&#8211; On minisuperspace gauge models with fermions<\/strong>,<br> in: Proceedings of the first Iberian meeting on classical and quantum gravity (Evora, Portugal), ed. M. C. Bento et al, World Scientific, Singapore, 1993, p.322-331<br> <strong>&#8211; Q-deformed systems and constrained dynamics<\/strong><br> in: Proceedings of XXVIth International Symposium on elementary physics (Wendisch-Rietz, Germany), ed. B. Doerfel, DESY 93\/13, 1993, p.276-286<br> <strong>&#8211; Gauge field invariants and confinement<\/strong>,<br> Proceedings of the 1st Sakharov conference on Physics, ed. by L V Keldysh and V. Ya. Fainberg, Nova Science Publishers, 1992, Vol. 1, p.141-149<br> [with L. V. Prokhorov]<br> <strong>&#8211; Phase space structure in gauge theories and quantum dynamics<\/strong>,<br> in: The Proceedings of the II International Wigner Symposium (15-20 July, 1991, Goslar, Germany), p.698-702<br> <strong>&#8211; Green functions in collective variables for systems with a gauge group<\/strong>,<br> in: The Proceedings of the XIII Seminar on High Energy Physics and Field Theory, Nauka, Moscow, 1991 (IHEP, Protvino, 9-13 July, 1990) p.127-131<br> <strong>&#8211; Path integral without gauge fixing in coordinate representation<\/strong>,<br> in: Theory of Representations and Group Methods in Physics , Moscow , Nauka, 1991 (in Russian)<br> <strong>&#8211; A vector potential in electrodynamics<\/strong>,<br> in: Theory of Representations and Group Methods in Physics , Moscow , Nauka, 1991 (in Russian)<br> [with V. M. Dubovik]<br> <strong>&#8211; Path integral in collective variables for Yang-Mills theory<\/strong>,<br> in: Symmetries and algebraic structures in physics, Vol. 1, p. 125-130, Moscow, 1990,<br> <strong>&#8211; Phase space structure of gauge theories and quasiclassical description<\/strong>,<br> in: Topological Phases in Quantum Theory, pp.354-370, Singapore, WSPC, 1989<br> [with L. V. Prokhorov]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Preprints and Technical Reports (14)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&#8211; Applications of the Slepian functions on the sphere to numerical modeling of narrow<br>\nbeam electromagnetic pulses<\/strong>,<br>\nTechnical Report for Contract UPN-05040506, June, 2005; 41 pp (classified by the US Air Force and SAIC corporation)<br>\n<strong>&#8211; Lanczos Pseudospectral Propagation Method for Initial-Value Problems in Electrodynamics of<br>\nPassive Media<\/strong>,<br>\non-line LANL electronic archive: physics\/0410271, 2004<br>\n[with A. G. Borisov]<br>\n<strong>&#8211; Electromagnetic Pulse Propagation in Passive Media by the Lanczos Method<\/strong>,<br>\non-line LANL electronic archive: physics\/0410270, 2004<br>\n[with A. G. Borisov]<br>\n<strong>&#8211; Electromagnetic pulse propagation in passive media by path integral methods<\/strong>,<br>\non-line LANL electronic archive: math.NA\/0312296, 2003<br>\n<strong>&#8211; Applications of the filter diagonalization technique to SAR signal processing<\/strong>,<br>\nTechnical Report for a US Air Force research project, US Air Force Grant F4920-03-1-0414; September, 2003 (sent to the Air Force Research Laboratory, Brooks, San-Antonio, TX)<br>\n<strong>&#8211; Image analysis using polarization properties of electromagnetic waves<\/strong>,<br>\nTechnical Report for a US Air Force research project, US Air Force Grants F4920-03-1-0414 and F49620-01-1-0473; February, 2003 (sent to the Air Force Research Laboratory, Brooks,<br>\nSan-Antonio, TX)<br>\n<strong>&#8211; A path integral approach to electromagnetic pulse propagation in dispersive media<\/strong>,<br>\nTechnical Report for a US Air Force research project, US Air Force Grant F4920-03-1-0414; December, 2002 (sent to the Brooks Air Force Base, San-Antonio, TX)<br>\n<strong>&#8211; The monopole dominance in QCD<\/strong>,<br>\nValencia University preprint, IFIC-96-70, FTUV-96-62, Burjassot, 1996; on-line LANL electronic archive: hep-th\/9611228.<br>\n<strong>&#8211; Supersymmetric quantization of gauge theories<\/strong>,<br>\nValencia University preprint, IFIC-96-66, FTUV-96-58, Burjassot, 1996; on-line LANL electronic archive: hep-th\/9509015<br>\n[with F Scholtz]<br>\n<strong>&#8211; On a possible solution of the Gribov problem<\/strong>,<br>\nCEA Saclay preprint, T 94\/045, CEA, Saclay, 1994.<br>\n<strong>&#8211; The proper field of charges and gauge-invariant variables in electrodynamics<\/strong>,<br>\nJINR preprint, E2-92-136, JINR, Dubna, 1992.<br>\n<strong>&#8211; Invariant structures and static forces in gauge theories<\/strong>,<br>\nJINR preprint, E2-91-266, JINR, Dubna, 1991<br>\n[with L. V. Prokhorov]<br>\n<strong>&#8211; Phase space structure of the Yang-Mills fields<\/strong>,<br>\nJINR preprint, E2-90-207, JINR, Dubna, 1990<br>\n[with L. V. Prokhorov]<br>\n<strong>&#8211; The role of gauge invariants in path integral construction<\/strong>,<br>\nJINR preprint, E2-89-688, JINR, Dubna, 1989<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":249,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/shabanov\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/shabanov\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/shabanov\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/shabanov\/wp-json\/wp\/v2\/users\/249"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/shabanov\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/shabanov\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":4799,"href":"https:\/\/people.clas.ufl.edu\/shabanov\/wp-json\/wp\/v2\/pages\/19\/revisions\/4799"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/shabanov\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}