Études on Theoretical Physics : Collection of Works Dedicated to 65th Anniversary of the Department of Theoretical Physics of Belarusian State University.

By: Barkovsky, L. MContributor(s): Feranchuk, I. D | Shnir, Ya. MMaterial type: TextTextPublisher: Singapore : World Scientific Publishing Co Pte Ltd, 2004Copyright date: ©2004Description: 1 online resource (405 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9789812702296Subject(s): Belaruski dz︠i︡ar︠z︡haÅ­ny universitÄ—t. -- Dept. of Theoretical Physics | Physics -- Research -- BelarusGenre/Form: Electronic books.Additional physical formats: Print version:: Études on Theoretical Physics : Collection of Works Dedicated to 65th Anniversary of the Department of Theoretical Physics of Belarusian State UniversityDDC classification: 530.072 LOC classification: QC30.E88 2004Online resources: Click to View
Contents:
Intro -- CONTENTS -- Foreword -- F.I. Fedorov's Contribution to the Creation and Development of Theoretical Physics in Belarus T.A. Alexeeva, L.M. Barkovsky and A.A. Bogush -- Bibliography -- Part I: Particles and Fields -- The Improved Deuteron Model with the Hyperbolic Relative Space V. V. Kudryashov and L.M. Tomilchik -- 1. Introduction -- 2. Non-Euclidean relative space -- 3. Two-fermion system -- 4. Exactly solvable deuteron model -- Bibliography -- Non-Singular Cosmology and Gauge Theories of Gravitation A. V. Minkevich -- 1. Introduction -- 2. Generalized cosmological F'riedmann equations in GTG -- 3. Solutions properties of GCFE -- 4. Regular inflationary cosmological models -- 5. Conclusion -- Acknowledgements -- Bibliography -- The Electrodynamics of Media Under Time-Reversal-Violation Condition (CP-Violation) and Possibility of T-Odd (CP-Odd) Interaction Testing Beyond the Standard Model V. G. Baryshevsky -- 1. The phenomenon of time-reversal violating generation of static magnetic and electric fields is a basis of a new method for measurement of the electron EDM and T-odd P-odd constants of electron interaction with a nucleon beyond Standard Model -- 2. About possibility to measure an electric dipole moment (EDM) of nuclei in the range experiments for search of time-reversal violating generation of magnetic and electric fields. i e - cm in -- 3. Nuclei in an electric field at low temperatures -- 4. Nuclei in a magnetic field at low temperatures -- 5. Time-reversal violating generation of static magnetic and electric fields -- 6. Time-reversal-violating optical gyrotropy -- Bibliography -- On One-Electron Atom in the Neighborhood of Black Holes A . K. Gorbatsievich -- 1. Introduction -- 2. Explicit Expression for the Hamilton Operator -- 3. Equation of Motion of a One-Electron Atom in an External Gravitational Field.
4. Hydrogen Atom in the Kerr Space-Time -- 4.1. Geodesics with = const in the Kerr space-time -- 4.2. Hamilton operator in the Kerr field. Observable effects -- 4.2.1. Motion in the equatorial plane -- 4.2.2. Motion on conical spirals -- 5. Conclusion -- Bibliography -- Particle Physics and Quantum Chaos V.I. Kuvshinov and A. V. Kuzmin -- 1. Introduction -- 2. Generalized Toda criterion -- 3. Towards chaos criterion in quantum field theory -- 4. Stability of Yang-Mills-Higgs models -- 5. Stability of holonomic quantum computations -- 6. Chaotic instanton solutions -- 7. Conclusion -- 8. Acknowledgements -- Bibliography -- Polarization Symmetry of an Electromagnetic Field V. I. Strazhev and P. L. Shckol 'nicov -- 1. Introduction -- 2. Polarization symmetry of Maxwell's equations -- 2.1. About the additional invariance -- 2.2. Polarization symmetry -- 2.3. Coordinate representation -- 2.4. Finite transformations -- Bibliography -- Multimonopoles and Closed Vortices in SU(2) Yang-Mills-Higgs Theory Y. Shnir -- Introduction -- 1. 't Hooft - Polyakov monopole -- 1.1. SU(2) Yang-Mills-Higgs model -- 1.2. Topological classification of the solutions -- 1.3. Definition of magnetic charge -- 1.4. 't Hooft-Polyalcov ansatz -- 1.5. BPS monopole -- 2. Multimonopoles -- 2.1. Rebbi-Rossi multimonopoles, monopole-antimonopole chains and closed vortices -- 2.1.1. Static axially symmetric ansatz -- 2.1.2. Properties of the solutions -- 2.1.3. 2d Poincare index of the vector field -- 2.1.4. m-chains -- 2.1.5. Closed vortices -- 2.1.6. n > 2 and odd m: Vortices bounded wath monopole -- Acknowledgments -- Bibliography -- Part II: Mathematical Methods in Theoretical Physics -- Fedorov's Covariant Approach to Particle Physics and Vector Parametrization of Quantum Groups A.A. Bogush -- 1. Introduction.
2. Fedorov's covariant approach to the elementary particle theory and the vector parametrization of the physical symmetry groups -- 3. The local vector parameters of the dynamical symmetry groups and non-linear field models -- 4. On the quantum vector parameters and generators of the q-deformed group SLh(2.C) -- 5. On the vector parametrization of the h-deformed group SLh (2.C) -- 6. Conclusion -- Bibliography -- Characterizing and Designing Localized Electromagnetic Fields G.N. Borzdov -- 1. Introduction -- 2. Geometric Parametrization of Plane-wave Superpositions -- 3. Standing Waves Defined by the Spherical Harmonics -- 4. Fields Defined by the Rotation Group -- 5. Complex Field Structures -- 6. Conclusions -- Bibliography -- Operator Method for Nonperturbative Description of Quantum Systems I. Feranchuk and A . Ivanov -- 1. Introduction -- 2. General scheme of the operator method -- 3. How and why does the general scheme work? -- 4. Generalization for quantum statistics -- 5. Statistics of quantum anharmonic oscillator -- 6. Conclusions -- Bibliography -- Around Observables and Radiative Corrections I. Akushevich, A . Ilyichev and N. Shumeiko -- 1. Introduction -- 2. Corrections to the cross sections and asymmetries in DIS -- 2.1. Semi-inclusive physics -- 2.2. FORTRAN codes POLRAD 2.0 and HAPRAD -- 2.3. Monte Carlo generator RADGEN 1.0 -- 3. Corrections to other processes -- 3.1. Diffractive vector meson electroproduction and code DIFFRAD -- 3.2. Elastic ep scattering and code MASCARAD -- 4. Exclusive Pion Production -- Conclusion -- Acknowledgement -- Bibliography -- Processes of Lepton and Boson Birth in Linear Photon Collider Tatiana V . Shishkina -- 1. Introduction -- 2. Two lepton production with photon in -collkions -- 2.1. Luminosity measurement of J = 0 beams.
3. Lepton-antilepton production in high energy polarized photons interaction -- 4. Production of four leptons in electroweak interaction -- 5. The SM and anomalous amplitudes of yy -+ W+W- -- 5.1. The first-order radiative correction to anomalous constants -- 6. Conclusion -- Bibliography -- Algebraic Method with the Use of Many-Particle Coulomb Green Function for Atomic Calculations Le Van Hoang -- 1. Introduction -- 2. Connection between the Coulomb Green function and the Green function of harmonic oscillator -- 3. Algebraic Method using annihilation and creation operators -- 4. Coulomb Green function in the operator representation -- 4.1. Application Example: Non-relativistic radiation shifts of hydrogen-like atom energy levels -- 5. Many-particle Coulomb Green Function -- 5.1. Application example: Ground state of hydrogenic molecule -- 6. Conclusions and Outlook -- Acknowledgments -- Bibliography -- Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrodinger Lattice P.G. Kevrekidis, B.A. Malomed, D. J. Frantzeskakis and R. Carretero- Gonzalez -- 1. Introduction -- 2. The Model -- 3. Results -- 4. Conclusions -- Bibliography -- Ultrawide Spectral Broadening and Pulse Compression by High-Order Stimulated Raman Scattering V.P. Kalosha and J . Herrmann -- 1. Introduction -- 2. Theoretical fundamentals -- 3. Analytical solution for the impulsive pump-probe regime -- 3.1. General solution -- 3.2. Amplitude-phase modulation and compression of a short probe pulse -- 3.3. Comparison with the slowly varying envelope approximation for small Raman conversion -- 4. Compression of visible and UV/VUV pulses: numerical results -- 5. Conclusions -- Acknowledgments -- Bibliography -- Part III: Condensed Matter and Complex Systems.
The Development of New Operator Methods for Describing Body and Surface Electromagnetic Waves in Complex Media L.M. Barkovsky, G.N. Borzdov, A.N. Furs, A.V. Novitsky and V . M. Galynsky -- 1. Introduction -- 2. Evolution operators of electromagnetic waves in circular fibres -- 3. Surface electromagnetic waves in complex anisotropic and gyrotropic media and the effects of unidirectional wave propagation -- 4. Covariant impedance techniques to characterize complex media -- 4.1. Four-dimensional constitutive tensor -- 4.2. Extracting the characteristic matrix -- 4.3. To the constitutive parameters via the coeficients of the four-dimensional tensor impedance equation (technique IMPEDANCE) -- 4.4. To the constitutive parameters via the polarization parameters of eigenwaves (technique POLARIZATION) -- 4.5. Computer modeling -- Bibliography -- Optical Waves in One-Dimensional Fractal Inhomogenous Media S. V . Zhukovsky, A . V . Lavrinenko and S. V. Gaponenko -- 1. Introduction -- 2. Fractal Multilayers -- 2.1. Construction Procedure -- 2.2. Quarter- Wave Condition and Spectral Symmetries -- 2.3. Some geometrical relations for fractal multilayers. -- 3. Spectral Scalability -- 3.1. Numerical Observation -- 3.2. Phase Terms Matching -- 3.3. Amplitude Mismatch and the Power Law -- 3.4. Perturbations Due to Finite Size -- 4. Other spectral properties of fractal multilayers -- 4.1. Resonance peak splitting -- 4.2. Spectral Self-Similarity -- Conclusions -- Bibliography -- Propagation of Light in Periodic Layered Structures and Waveguides Based on Photonic Crystals D.N. Chigrin, A . V. Laurinenko, D.N. Shyroky and V. V . Zhilko -- 1. Introduction -- 2. One-dimensional photonic crystals. Isotropic media -- 3. One-dimensional photonic crystals. Anisotropic media -- 4. Covariant approach in effective medium theory -- 5. Waveguides in photonic crystals.
Bibliography.
Summary: Key Features:A collection of papers spanning decades and touching on a wide variety of research topics on modern theoretical physics written by leading scientists from the Belarusian State UniversityProvides concise information about the methods and applications of modern theoretical physicsA tribute to the late Professor Fedor Ivanovich Fedorov - founder of the Department of Theoretical Physics, Belarusian State University.
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Intro -- CONTENTS -- Foreword -- F.I. Fedorov's Contribution to the Creation and Development of Theoretical Physics in Belarus T.A. Alexeeva, L.M. Barkovsky and A.A. Bogush -- Bibliography -- Part I: Particles and Fields -- The Improved Deuteron Model with the Hyperbolic Relative Space V. V. Kudryashov and L.M. Tomilchik -- 1. Introduction -- 2. Non-Euclidean relative space -- 3. Two-fermion system -- 4. Exactly solvable deuteron model -- Bibliography -- Non-Singular Cosmology and Gauge Theories of Gravitation A. V. Minkevich -- 1. Introduction -- 2. Generalized cosmological F'riedmann equations in GTG -- 3. Solutions properties of GCFE -- 4. Regular inflationary cosmological models -- 5. Conclusion -- Acknowledgements -- Bibliography -- The Electrodynamics of Media Under Time-Reversal-Violation Condition (CP-Violation) and Possibility of T-Odd (CP-Odd) Interaction Testing Beyond the Standard Model V. G. Baryshevsky -- 1. The phenomenon of time-reversal violating generation of static magnetic and electric fields is a basis of a new method for measurement of the electron EDM and T-odd P-odd constants of electron interaction with a nucleon beyond Standard Model -- 2. About possibility to measure an electric dipole moment (EDM) of nuclei in the range experiments for search of time-reversal violating generation of magnetic and electric fields. i e - cm in -- 3. Nuclei in an electric field at low temperatures -- 4. Nuclei in a magnetic field at low temperatures -- 5. Time-reversal violating generation of static magnetic and electric fields -- 6. Time-reversal-violating optical gyrotropy -- Bibliography -- On One-Electron Atom in the Neighborhood of Black Holes A . K. Gorbatsievich -- 1. Introduction -- 2. Explicit Expression for the Hamilton Operator -- 3. Equation of Motion of a One-Electron Atom in an External Gravitational Field.

4. Hydrogen Atom in the Kerr Space-Time -- 4.1. Geodesics with = const in the Kerr space-time -- 4.2. Hamilton operator in the Kerr field. Observable effects -- 4.2.1. Motion in the equatorial plane -- 4.2.2. Motion on conical spirals -- 5. Conclusion -- Bibliography -- Particle Physics and Quantum Chaos V.I. Kuvshinov and A. V. Kuzmin -- 1. Introduction -- 2. Generalized Toda criterion -- 3. Towards chaos criterion in quantum field theory -- 4. Stability of Yang-Mills-Higgs models -- 5. Stability of holonomic quantum computations -- 6. Chaotic instanton solutions -- 7. Conclusion -- 8. Acknowledgements -- Bibliography -- Polarization Symmetry of an Electromagnetic Field V. I. Strazhev and P. L. Shckol 'nicov -- 1. Introduction -- 2. Polarization symmetry of Maxwell's equations -- 2.1. About the additional invariance -- 2.2. Polarization symmetry -- 2.3. Coordinate representation -- 2.4. Finite transformations -- Bibliography -- Multimonopoles and Closed Vortices in SU(2) Yang-Mills-Higgs Theory Y. Shnir -- Introduction -- 1. 't Hooft - Polyakov monopole -- 1.1. SU(2) Yang-Mills-Higgs model -- 1.2. Topological classification of the solutions -- 1.3. Definition of magnetic charge -- 1.4. 't Hooft-Polyalcov ansatz -- 1.5. BPS monopole -- 2. Multimonopoles -- 2.1. Rebbi-Rossi multimonopoles, monopole-antimonopole chains and closed vortices -- 2.1.1. Static axially symmetric ansatz -- 2.1.2. Properties of the solutions -- 2.1.3. 2d Poincare index of the vector field -- 2.1.4. m-chains -- 2.1.5. Closed vortices -- 2.1.6. n > 2 and odd m: Vortices bounded wath monopole -- Acknowledgments -- Bibliography -- Part II: Mathematical Methods in Theoretical Physics -- Fedorov's Covariant Approach to Particle Physics and Vector Parametrization of Quantum Groups A.A. Bogush -- 1. Introduction.

2. Fedorov's covariant approach to the elementary particle theory and the vector parametrization of the physical symmetry groups -- 3. The local vector parameters of the dynamical symmetry groups and non-linear field models -- 4. On the quantum vector parameters and generators of the q-deformed group SLh(2.C) -- 5. On the vector parametrization of the h-deformed group SLh (2.C) -- 6. Conclusion -- Bibliography -- Characterizing and Designing Localized Electromagnetic Fields G.N. Borzdov -- 1. Introduction -- 2. Geometric Parametrization of Plane-wave Superpositions -- 3. Standing Waves Defined by the Spherical Harmonics -- 4. Fields Defined by the Rotation Group -- 5. Complex Field Structures -- 6. Conclusions -- Bibliography -- Operator Method for Nonperturbative Description of Quantum Systems I. Feranchuk and A . Ivanov -- 1. Introduction -- 2. General scheme of the operator method -- 3. How and why does the general scheme work? -- 4. Generalization for quantum statistics -- 5. Statistics of quantum anharmonic oscillator -- 6. Conclusions -- Bibliography -- Around Observables and Radiative Corrections I. Akushevich, A . Ilyichev and N. Shumeiko -- 1. Introduction -- 2. Corrections to the cross sections and asymmetries in DIS -- 2.1. Semi-inclusive physics -- 2.2. FORTRAN codes POLRAD 2.0 and HAPRAD -- 2.3. Monte Carlo generator RADGEN 1.0 -- 3. Corrections to other processes -- 3.1. Diffractive vector meson electroproduction and code DIFFRAD -- 3.2. Elastic ep scattering and code MASCARAD -- 4. Exclusive Pion Production -- Conclusion -- Acknowledgement -- Bibliography -- Processes of Lepton and Boson Birth in Linear Photon Collider Tatiana V . Shishkina -- 1. Introduction -- 2. Two lepton production with photon in -collkions -- 2.1. Luminosity measurement of J = 0 beams.

3. Lepton-antilepton production in high energy polarized photons interaction -- 4. Production of four leptons in electroweak interaction -- 5. The SM and anomalous amplitudes of yy -+ W+W- -- 5.1. The first-order radiative correction to anomalous constants -- 6. Conclusion -- Bibliography -- Algebraic Method with the Use of Many-Particle Coulomb Green Function for Atomic Calculations Le Van Hoang -- 1. Introduction -- 2. Connection between the Coulomb Green function and the Green function of harmonic oscillator -- 3. Algebraic Method using annihilation and creation operators -- 4. Coulomb Green function in the operator representation -- 4.1. Application Example: Non-relativistic radiation shifts of hydrogen-like atom energy levels -- 5. Many-particle Coulomb Green Function -- 5.1. Application example: Ground state of hydrogenic molecule -- 6. Conclusions and Outlook -- Acknowledgments -- Bibliography -- Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrodinger Lattice P.G. Kevrekidis, B.A. Malomed, D. J. Frantzeskakis and R. Carretero- Gonzalez -- 1. Introduction -- 2. The Model -- 3. Results -- 4. Conclusions -- Bibliography -- Ultrawide Spectral Broadening and Pulse Compression by High-Order Stimulated Raman Scattering V.P. Kalosha and J . Herrmann -- 1. Introduction -- 2. Theoretical fundamentals -- 3. Analytical solution for the impulsive pump-probe regime -- 3.1. General solution -- 3.2. Amplitude-phase modulation and compression of a short probe pulse -- 3.3. Comparison with the slowly varying envelope approximation for small Raman conversion -- 4. Compression of visible and UV/VUV pulses: numerical results -- 5. Conclusions -- Acknowledgments -- Bibliography -- Part III: Condensed Matter and Complex Systems.

The Development of New Operator Methods for Describing Body and Surface Electromagnetic Waves in Complex Media L.M. Barkovsky, G.N. Borzdov, A.N. Furs, A.V. Novitsky and V . M. Galynsky -- 1. Introduction -- 2. Evolution operators of electromagnetic waves in circular fibres -- 3. Surface electromagnetic waves in complex anisotropic and gyrotropic media and the effects of unidirectional wave propagation -- 4. Covariant impedance techniques to characterize complex media -- 4.1. Four-dimensional constitutive tensor -- 4.2. Extracting the characteristic matrix -- 4.3. To the constitutive parameters via the coeficients of the four-dimensional tensor impedance equation (technique IMPEDANCE) -- 4.4. To the constitutive parameters via the polarization parameters of eigenwaves (technique POLARIZATION) -- 4.5. Computer modeling -- Bibliography -- Optical Waves in One-Dimensional Fractal Inhomogenous Media S. V . Zhukovsky, A . V . Lavrinenko and S. V. Gaponenko -- 1. Introduction -- 2. Fractal Multilayers -- 2.1. Construction Procedure -- 2.2. Quarter- Wave Condition and Spectral Symmetries -- 2.3. Some geometrical relations for fractal multilayers. -- 3. Spectral Scalability -- 3.1. Numerical Observation -- 3.2. Phase Terms Matching -- 3.3. Amplitude Mismatch and the Power Law -- 3.4. Perturbations Due to Finite Size -- 4. Other spectral properties of fractal multilayers -- 4.1. Resonance peak splitting -- 4.2. Spectral Self-Similarity -- Conclusions -- Bibliography -- Propagation of Light in Periodic Layered Structures and Waveguides Based on Photonic Crystals D.N. Chigrin, A . V. Laurinenko, D.N. Shyroky and V. V . Zhilko -- 1. Introduction -- 2. One-dimensional photonic crystals. Isotropic media -- 3. One-dimensional photonic crystals. Anisotropic media -- 4. Covariant approach in effective medium theory -- 5. Waveguides in photonic crystals.

Bibliography.

Key Features:A collection of papers spanning decades and touching on a wide variety of research topics on modern theoretical physics written by leading scientists from the Belarusian State UniversityProvides concise information about the methods and applications of modern theoretical physicsA tribute to the late Professor Fedor Ivanovich Fedorov - founder of the Department of Theoretical Physics, Belarusian State University.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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