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1000 tulosta hakusanalla Alexei N Tolstoi
Civil Code of the Russian Federation: First Part: As of May 23, 2016
Alexei N. Zhiltsov; Peter B. Maggs
Createspace Independent Publishing Platform
2016
nidottu
Civil Code of the Russian Federation as in Effect June 1, 2018
Alexei N. Zhiltsov; Peter B. Maggs
Createspace Independent Publishing Platform
2018
nidottu
English translation by Peter Maggs and Alexei Zhiltsov of the Civil Code of the Russian Federation as in effect June 1, 2018
The Brauer–Grothendieck Group
Jean-Louis Colliot-Thélène; Alexei N. Skorobogatov
Springer Nature Switzerland AG
2021
sidottu
This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer–Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available inbook form elsewhere; notably, de Jong’s proof of Gabber’s theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer–Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer–Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry.
Polarization and Correlation Phenomena in Atomic Collisions
Vsevolod V. Balashov; Alexei N. Grum-Grzhimailo; Nikolai M. Kabachnik
Kluwer Academic/Plenum Publishers
2000
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Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course bridges the gap between traditional courses in quantum mechanics and practical investigations. The authors' goal is to guide students in training their ability to perform theoretical calculations of polarization and correlation characteristics of various processes in atomic collisions. The book provides a concise description of the density matrix and statistical tensor formalism and presents a general approach to the description of angular correlation and polarization phenomena. It illustrates an application of the angular momentum technique to a broad variety of atomic processes. The book contains derivations of the most important expressions for observable quantities in electron-atom and ion-atom scattering, including that for polarized beams and/or polarized targets, in photo-induced processes, autoionization and cascades of atomic transitions. Spin-polarization and angular distributions of the reaction products are described, including the angular correlations in different types of coincidence measurements. The considered processes exemplify the general approach and the number of examples can be easily extended by a reader. The book supplies researchers, both theoreticians and experimentalists with a collection of helpful formulae and tables, and can serve as a reference book. Based on a highly regarded course at Moscow State University and elsewhere, the book provides real guidance on theoretical calculations of practical use.
Polarization and Correlation Phenomena in Atomic Collisions
Vsevolod V. Balashov; Alexei N. Grum-Grzhimailo; Nikolai M. Kabachnik
Springer-Verlag New York Inc.
2010
nidottu
Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course bridges the gap between traditional courses in quantum mechanics and practical investigations. The authors' goal is to guide students in training their ability to perform theoretical calculations of polarization and correlation characteristics of various processes in atomic collisions. The book provides a concise description of the density matrix and statistical tensor formalism and presents a general approach to the description of angular correlation and polarization phenomena. It illustrates an application of the angular momentum technique to a broad variety of atomic processes. The book contains derivations of the most important expressions for observable quantities in electron-atom and ion-atom scattering, including that for polarized beams and/or polarized targets, in photo-induced processes, autoionization and cascades of atomic transitions. Spin-polarization and angular distributions of the reaction products are described, including the angular correlations in different types of coincidence measurements. The considered processes exemplify the general approach and the number of examples can be easily extended by a reader. The book supplies researchers, both theoreticians and experimentalists with a collection of helpful formulae and tables, and can serve as a reference book. Based on a highly regarded course at Moscow State University and elsewhere, the book provides real guidance on theoretical calculations of practical use.
Perfect/Complete Scattering Experiments
Hans Kleinpoppen; Bernd Lohmann; Alexei N. Grum-Grzhimailo
Springer-Verlag Berlin and Heidelberg GmbH Co. K
2013
sidottu
The main goal of this book is to elucidate what kind of experiment must be performed in order to determine the full set of independent parameters which can be extracted and calculated from theory, where electrons, photons, atoms, ions, molecules, or molecular ions may serve as the interacting constituents of matter. The feasibility of such perfect' and-or `complete' experiments, providing the complete quantum mechanical knowledge of the process, is associated with the enormous potential of modern research techniques, both, in experiment and theory. It is even difficult to overestimate the role of theory in setting of the complete experiment, starting with the fact that an experiment can be complete only within a certain theoretical framework, and ending with the direct prescription of what, and in what conditions should be measured to make the experiment `complete'. The language of the related theory is the language of quantum mechanical amplitudes and their relative phases. This book captures the spirit of research in the direction of the complete experiment in atomic and molecular physics, considering some of the basic quantum processes: scattering, Auger decay and photo-ionization. It includes a description of the experimental methods used to realize, step by step, the complete experiment up to the level of the amplitudes and phases. The corresponding arsenal includes, beyond determining the total cross section, the observation of angle and spin resolved quantities, photon polarization and correlation parameters, measurements applying coincidence techniques, preparing initially polarized targets, and even more sophisticated methods. The `complete' experiment is, until today, hardly to perform. Therefore, much attention is paid to the results of state-of-the-art experiments providing detailed information on the process, and their comparison to the related theoretical approaches, just to mention relativistic multi-configurational Dirac-Fock,convergent close-coupling, Breit-Pauli R-matrix, or relativistic distorted wave approaches, as well as Green's operator methods. This book has been written in honor of Herbert Walther and his major contribution to the field but even to stimulate advanced Bachelor and Master students by demonstrating that obviously nowadays atomic and molecular scattering physics yields and gives a much exciting appreciation for further advancing the field.
Perfect/Complete Scattering Experiments
Hans Kleinpoppen; Bernd Lohmann; Alexei N. Grum-Grzhimailo
Springer-Verlag Berlin and Heidelberg GmbH Co. K
2016
nidottu
The main goal of this book is to elucidate what kind of experiment must be performed in order to determine the full set of independent parameters which can be extracted and calculated from theory, where electrons, photons, atoms, ions, molecules, or molecular ions may serve as the interacting constituents of matter. The feasibility of such perfect' and-or `complete' experiments, providing the complete quantum mechanical knowledge of the process, is associated with the enormous potential of modern research techniques, both, in experiment and theory. It is even difficult to overestimate the role of theory in setting of the complete experiment, starting with the fact that an experiment can be complete only within a certain theoretical framework, and ending with the direct prescription of what, and in what conditions should be measured to make the experiment `complete'. The language of the related theory is the language of quantum mechanical amplitudes and their relative phases. This book captures the spirit of research in the direction of the complete experiment in atomic and molecular physics, considering some of the basic quantum processes: scattering, Auger decay and photo-ionization. It includes a description of the experimental methods used to realize, step by step, the complete experiment up to the level of the amplitudes and phases. The corresponding arsenal includes, beyond determining the total cross section, the observation of angle and spin resolved quantities, photon polarization and correlation parameters, measurements applying coincidence techniques, preparing initially polarized targets, and even more sophisticated methods. The `complete' experiment is, until today, hardly to perform. Therefore, much attention is paid to the results of state-of-the-art experiments providing detailed information on the process, and their comparison to the related theoretical approaches, just to mention relativistic multi-configurational Dirac-Fock,convergent close-coupling, Breit-Pauli R-matrix, or relativistic distorted wave approaches, as well as Green's operator methods. This book has been written in honor of Herbert Walther and his major contribution to the field but even to stimulate advanced Bachelor and Master students by demonstrating that obviously nowadays atomic and molecular scattering physics yields and gives a much exciting appreciation for further advancing the field.
Physics of Planetary Rings
Alexei M. Fridman; Nikolai N. Gorkavyi
Springer-Verlag Berlin and Heidelberg GmbH Co. K
1999
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Physics of Planetary Rings describes striking structures of the planetary rings of Saturn, Uranus, Jupiter, and Neptune: Narrow ringlets, spiral waves, and a chain of clumps. The author has contributed essential ideas to the full understanding of planetary rings via the stability analysis of dynamical systems. The combination of a high-quality description, the set of interesting illustrations, as well as the fascinating and natural presentation will make this book of considerable interest to astronomers, physicists, and mathematicians as well as students. There is no competing text for this book so far.
Physics of Planetary Rings
Alexei M. Fridman; Nikolai N. Gorkavyi
Springer-Verlag Berlin and Heidelberg GmbH Co. K
2010
nidottu
Physics of Planetary Rings describes striking structures of the planetary rings of Saturn, Uranus, Jupiter, and Neptune: Narrow ringlets, spiral waves, and a chain of clumps. The author has contributed essential ideas to the full understanding of planetary rings via the stability analysis of dynamical systems. The combination of a high-quality description, the set of interesting illustrations, as well as the fascinating and natural presentation will make this book of considerable interest to astronomers, physicists, and mathematicians as well as students. There is no competing text for this book so far.
Problem Solving in Theoretical Physics
Yury M. Belousov; Serguei N. Burmistrov; Alexei I. Ternov
Wiley-VCH Verlag GmbH
2020
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"Problem Solving in Theoretical Physics" helps students mastering their theoretical physics courses by posing advanced problems and providing their solutions - along with discussions of their physical significance and possibilities for generalization and transfer to other fields.
Polar Seas Oceanography
Vladimir A. Volkov; Ola M. Johannessen; Victor E. Borodachev; Gennadiy N. Voinov; Lasse H. Pettersson; Leonoid P. Bobylev; Alexei V. Kouraev
Springer-Verlag Berlin and Heidelberg GmbH Co. K
2002
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Rapid development of Earth observation satellite using remote sensing techniques enables observations of the oceanic processes by sea and airborne study to be carried out over vast areas in a short time. This first book written by Russian and Norwegian scientists is an analysis of studies of the Kara Sea and presents a unique catalogue of environmental and pollution data of the joint Norwegian and Russian oceanographic expedition studies of the Kara Sea spanning three decades.
Methods of Mathematical Physics
Alexey N. Karapetyants; Vladislav V. Kravchenko
BIRKHAUSER VERLAG AG
2022
sidottu
This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses.The first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series.Methods of Mathematical Physics is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.
Methods of Mathematical Physics
Alexey N. Karapetyants; Vladislav V. Kravchenko
BIRKHAUSER VERLAG AG
2023
nidottu
This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses.The first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series.Methods of Mathematical Physics is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.
Scattering of Photons by Many-Electron Systems
Alexey N. Hopersky; Victor A. Yavna
Springer-Verlag Berlin and Heidelberg GmbH Co. K
2009
sidottu
Thesubjectofthismonographistheresultsoftherecenttheoreticalstudiesof the nature and the role of many-particleand orientation e?ects in the process of anomalouselastic scattering of X-ray photon by free atom, atomic ion, and linear molecule. Theoretical and experimental investigations of anomalous elastic scatt- ing of X-rayphoton havingenergyin the rangeof0. 35keV? ???1. 4MeV by a many-electron system are immediate requirements in modern fundamental and applied physics from the point of view of the conditions of the anomalous dispersion when an incident photon energy is close to that of an inner-shell ionization thresholds. They are important, ?rstly, because of the construction and subsequent application of the X-ray free electron laser and because of laboratory-plasma X-ray laser generation. Also, it is urgent to solve imp- tant problems, such as maintaining a laser thermonuclear fusion, as well as majority of problems in plasma physics, ionizing radiation physics, surface physics, metal and semiconductor physics, and astrophysics. However,in spite of the existence of a generalquantum-mechanicaltheory for the process of anomalous scattering of the electromagnetic radiation by matter, following from the works by Kramers and Heisenberg (1925) [1] and Waller (1928,1929) [2,3], both the calculation methods and the assignments of the anomalously dispersive regions of the elastic scattering spectra in the immediate vicinity (?1/ 100 eV) of the inner-shell ionization thresholds of free atom,atomicion, andmolecule areabsentin the worldscienti?cpractice, including the many-particle e?ects. Indeed, the existing methods within the anomalously dispersive regions of elastic scattering lead to in?nite (nonph- ical) intensities of the di?erential cross-section resonances.
Scattering of Photons by Many-Electron Systems
Alexey N. Hopersky; Victor A. Yavna
Springer-Verlag Berlin and Heidelberg GmbH Co. K
2012
nidottu
Thesubjectofthismonographistheresultsoftherecenttheoreticalstudiesof the nature and the role of many-particleand orientation e?ects in the process of anomalouselastic scattering of X-ray photon by free atom, atomic ion, and linear molecule. Theoretical and experimental investigations of anomalous elastic scatt- ing of X-rayphoton havingenergyin the rangeof0. 35keV? ???1. 4MeV by a many-electron system are immediate requirements in modern fundamental and applied physics from the point of view of the conditions of the anomalous dispersion when an incident photon energy is close to that of an inner-shell ionization thresholds. They are important, ?rstly, because of the construction and subsequent application of the X-ray free electron laser and because of laboratory-plasma X-ray laser generation. Also, it is urgent to solve imp- tant problems, such as maintaining a laser thermonuclear fusion, as well as majority of problems in plasma physics, ionizing radiation physics, surface physics, metal and semiconductor physics, and astrophysics. However,in spite of the existence of a generalquantum-mechanicaltheory for the process of anomalous scattering of the electromagnetic radiation by matter, following from the works by Kramers and Heisenberg (1925) [1] and Waller (1928,1929) [2,3], both the calculation methods and the assignments of the anomalously dispersive regions of the elastic scattering spectra in the immediate vicinity (?1/ 100 eV) of the inner-shell ionization thresholds of free atom,atomicion, andmolecule areabsentin the worldscienti?cpractice, including the many-particle e?ects. Indeed, the existing methods within the anomalously dispersive regions of elastic scattering lead to in?nite (nonph- ical) intensities of the di?erential cross-section resonances.
Wavelets in Neuroscience
Alexander E. Hramov; Alexey A. Koronovskii; Valeri A. Makarov; Alexey N. Pavlov; Evgenia Sitnikova
Springer-Verlag Berlin and Heidelberg GmbH Co. K
2014
sidottu
This book examines theoretical and applied aspects of wavelet analysis in neurophysics, describing in detail different practical applications of the wavelet theory in the areas of neurodynamics and neurophysiology and providing a review of fundamental work that has been carried out in these fields over the last decade.Chapters 1 and 2 introduce and review the relevant foundations of neurophysics and wavelet theory, respectively, pointing on one hand to the various current challenges in neuroscience and introducing on the other the mathematical techniques of the wavelet transform in its two variants (discrete and continuous) as a powerful and versatile tool for investigating the relevant neuronal dynamics.Chapter 3 then analyzes results from examining individual neuron dynamics and intracellular processes. The principles for recognizing neuronal spikes from extracellular recordings and the advantages of using wavelets to address these issues are described and combined with approaches based on wavelet neural networks (chapter 4). The features of time-frequency organization of EEG signals are then extensively discussed, from theory to practical applications (chapters 5 and 6). Lastly, the technical details of automatic diagnostics and processing of EEG signals using wavelets are examined (chapter 7).The book will be a useful resource for neurophysiologists and physicists familiar with nonlinear dynamical systems and data processing, as well as for graduate students specializing in the corresponding areas.
Wavelets in Neuroscience
Alexander E. Hramov; Alexey A. Koronovskii; Valeri A. Makarov; Alexey N. Pavlov; Evgenia Sitnikova
Springer-Verlag Berlin and Heidelberg GmbH Co. K
2016
nidottu
This book examines theoretical and applied aspects of wavelet analysis in neurophysics, describing in detail different practical applications of the wavelet theory in the areas of neurodynamics and neurophysiology and providing a review of fundamental work that has been carried out in these fields over the last decade.Chapters 1 and 2 introduce and review the relevant foundations of neurophysics and wavelet theory, respectively, pointing on one hand to the various current challenges in neuroscience and introducing on the other the mathematical techniques of the wavelet transform in its two variants (discrete and continuous) as a powerful and versatile tool for investigating the relevant neuronal dynamics.Chapter 3 then analyzes results from examining individual neuron dynamics and intracellular processes. The principles for recognizing neuronal spikes from extracellular recordings and the advantages of using wavelets to address these issues are described and combined with approaches based on wavelet neural networks (chapter 4). The features of time-frequency organization of EEG signals are then extensively discussed, from theory to practical applications (chapters 5 and 6). Lastly, the technical details of automatic diagnostics and processing of EEG signals using wavelets are examined (chapter 7).The book will be a useful resource for neurophysiologists and physicists familiar with nonlinear dynamical systems and data processing, as well as for graduate students specializing in the corresponding areas.
Wavelets in Neuroscience
Alexander E. Hramov; Alexey A. Koronovskii; Valeri A. Makarov; Vladimir A. Maksimenko; Alexey N. Pavlov; Evgenia Sitnikova
Springer Nature Switzerland AG
2021
sidottu
This book illustrates how modern mathematical wavelet transform techniques offer fresh insights into the complex behavior of neural systems at different levels: from the microscopic dynamics of individual cells to the macroscopic behavior of large neural networks. It also demonstrates how and where wavelet-based mathematical tools can provide an advantage over classical approaches used in neuroscience. The authors well describe single neuron and populational neural recordings.This 2nd edition discusses novel areas and significant advances resulting from experimental techniques and computational approaches developed since 2015, and includes three new topics:• Detection of fEPSPs in multielectrode LFPs recordings.• Analysis of Visual Sensory Processing in the Brain and BCI for Human Attention Control;• Analysis and Real-time Classification of Motor-related EEG Patterns;The book is a valuable resource for neurophysiologists and physicists familiar with nonlinear dynamical systems and data processing, as well as for graduate students specializing in these and related areas.