# krainaksiazek small perturbation theory 20107003

- znaleziono 7 produktów w 1 sklepie

### Algebraic Methods in Nonlinear Perturbation Theory Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book will be of interest for everybody working on perturbation theory in differential equations. The book requires only a standard mathematical background for engineers and does not require reference to the special literature. Topics which are covered include: matrix perturbation theory; systems of ordinary differential equations with small parameter; reconstruction and equations in partial derivatives. Boundary problems are not discussed in this volume. The reader will find many examples throughout the book.

Sklep: Libristo.pl

### Perturbation Methods in Applied Mathematics Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole's text Perturbation Methods in Applied Mathe matics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differ ential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B.

Sklep: Libristo.pl

### Quantum Theory of Many-Body Systems Springer, Berlin

**Książki / Literatura obcojęzyczna**

This text presents a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, uses the mathematical formalism of quasiparticles and Green's functions. In particular, it covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory and the Matsubara, Keldysh and Nambu-Gor'kov formalism, as well as an introduction to Feynman path integrals. This new edition contains an introduction to the methods of theory of one-dimensional systems (bosonization and conformal field theory) and their applications to many-body problems. Intended for graduate students in physics and related fields, the aim is not to be exhaustive, but to present enough detail to enable the student to follow the current research literature, or to apply the techniques to new problems. Many of the examples are drawn from mesoscopic physics, which deals with systems small enough that quantum coherence is maintained throughout their volume and which therefore provides an ideal testing ground for many-body theories.

Sklep: Libristo.pl

### Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions John Wiley & Sons Inc

**Książki / Literatura obcojęzyczna**

Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions comprehensively covers the theoretical background of asymptotic approaches and its applicability to solve mechanical engineering-oriented problems of structural members, primarily plates (statics and dynamics) with mixed boundary conditions. The first part of this book is devoted to the description of asymptotic methods, and also includes coverage of lesser known, but useful approaches including the method of summation and construction of the asymptotically equivalent functions, methods of small and large delta, homotopy perturbations method, etc. The second part of this book deals with the application of the asymptotic methods to solve various problems of the theory of plates with mixed boundary conditions. Both free and forced vibrations of plates, as well their stress-strain states and stability problems are studied. The results are presented in a simple analytical form, and can be directly used in engineering practice. It describes the state-of-the-art of current asymptotic approaches. It deals with new trends and applications of asymptotic approaches in the field of Nonlinear Mechanics and Mechanics of Solids. It uses detailed examples from the field of non-linear mechanics and civil engineering. It presents a rigorous treatment of the homotopy perturbation technique.

Sklep: Libristo.pl

### Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (4th Edition) World Scientific Publishing Co Pte Ltd

**Książki / Literatura obcojęzyczna**

This is the fourth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's famous formula to include singular attractive 1/r and 1/r2 potentials. The second is a simple quantum equivalence principle governing the transformation of euclidean path integrals to spaces with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations. In addition to the time-sliced definition, the author gives a perturbative definition of path integrals which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely integrals over products of distributions. The powerful Feynman-Kleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent expansions. The convergence is uniform from weak to strong couplings, opening a way to precise approximate evaluations of analytically unsolvable path integrals. Tunneling processes are treated in detail. The results are used to determine the lifetime of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions. A new variational treatment extends the range of validity of previous tunneling theories from large to small barriers. A corresponding extension of large-order perturbation theory also applies now to small orders. Special attention is devoted to path integrals with topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect. The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are given which account for the fact that large market fluctuations occur much more frequently than in the commonly used Gaussian distributions. The author's other book on 'Critical Properties of Theories' gives a thorough introduction to the field of critical phenomena and develops new powerful resummation techniques for the extraction of physical results from the divergent perturbation expansions.

Sklep: Libristo.pl

### Electronic Structures and the Properties of Solids BAKER & TAYLOR

**Książki / Literatura obcojęzyczna**

Part I. Electron states 1. The quantum-mechanical basis A. Quantum mechanics B. Electronic structure of atoms C. Electronic structure of small molecules D. The simple polar bond E. Diatomic molecules 2. Electronic structure of solids A. Energy bands B. Electron dynamics C. Characteristic solid types D. Solid state matrix elements E. Calculation of spectra Part II. Covalent solids 3. Electronic structure of simple tetrahedral solids A. Crystal structures B. Bond orbitals C. The LCAO bands D. The bond orbital approximation and extended bond orbitals E. Metallicity F. Planar and filamentary structures 4. Optical spectra A. Dielectric susceptibility B. Optical properties and oscillator strengths C. Features of the absorption spectrum D. chi subscript 1 and the dielectric constant 5. Other dielectric properties A. Bond dipoles and higher-order susceptibilities B. Effective atomic charge C. Dielectric screening D. Ternary compounds E. Magnetic susceptibility 6. The energy bands A. Accurate band structures B. LCAO Interpretation of the bands C. The conduction bands D. Effective masses E. Impurity states and excitons 7. The total energy A. The overlap interaction B. Bond length, cohesive energy, and the bulk modulus C. Cohesion in polar covalent solids 8. Elasticity A. Total energy calculations B. Rigid hybrids C. Rehybridization D. The Valence force field E. Internal displacements, and prediction of c subscript 44 9. Lattice Vibrations A. The Vibration spectrum B. Long range forces C. Phonons and the specific heat D. The transverse charge E. Piezoelectricity F. The Electron-phonon interaction 10. Surfaces and defects A. Surface energy and crystal shapes B. Surface reconstruction C. The elimination of surface states, and Fermi level pinning D. Adsorption of atoms and the 7 x 7 reconstruction pattern E. Defects and amorphous semiconductors F. Photothresholds and heterojunctions 11. Mixed tetrahedral solids A. Tetrahedral complexes B. The crystal structure and the simple molecular lattice C. The bonding unit D. Bands and electronic spectra E. Mechanical properties F. Vibrational spectra G. Coupling of vibrations to the infrared Part III Closed-shell systems 12. Inert-gas solids A. Interatomic interactions B. Electronic properties 13. Ionic compounds A. The crystal structure B. Electrostatic energy and the Madelung potential C. Ion-Ion Interactions D. Cohesion and Mechanical Properties E. Structure Determination and Ionic Radii 14. Dielectric properties of ionic crystals A. Electronic structure and spectra B. Dielectric susceptibility C. Effective charges and ion softening D. Surfaces and molten ionic compounds Part IV Open-shell systems 15. Simple metals A. History of the theory B. The Free-electron theory of metals C. Electrostatic energy D. The empty-core pseudopotential E. Free-electron energy F. Density, bulk modulus, and cohesion 16. Electronic structure of metals A. Pseudopotential perturbation theory B. Pseudopotentials in the perfect lattice C. Electron diffraction by pseudopotentials D. Nearly-free-electron bands and Fermi surfaces E. Scattering by defects F. Screening 17. Mechanical properties of metals A. The band-structure energy B. The effective interaction between ions, and higher-order terms C. The phonon spectrum D. The electron-phonon interaction and the electron-phonon coupling constant E. Surfaces and liquids 18. Pseudopotential theory of covalent bonding A. The prediction of interatomic matrix elements B. The Jones zone gap C. Covalent and polar contributions D. Susceptibility E. Bonding properties F. Ionic bonding G. Interfaces and Heterojunctions 19. Transition-metal compounds A. d States in solids B. Monoxides: Miltiplet d States C. Perovskite structures; d Bands D. Other compounds E. The Perovskite ghost F. The chemical grip G. The electrostatic stability of Perovskites H. The electron-phonon interaction 20 Transition metals A. The bands B. The electronic properties and density of states C. Cohesion, bond length, and compressibility D. Muffin-Tin Orbitals and the Atomic Sphere Approximation E. d Resonances and transition-metal pseudopotentials F. Local moments and magnetism Appendix A. The One-electron approximation Appendix B. Nonorthogonality of basis states Appendix C. The overlap interaction Appendix D. Quantum-mechanical formulation of pseudopotentials Appendix E. Orbital corrections Solid state table of the elements Bibliography and author index Subject index

Sklep: Libristo.pl

### Systematic Modeling and Analysis of Telecom Frontends and their Building Blocks Springer Netherlands

**Książki / Literatura obcojęzyczna**

To meet the demands of today's highly competitive market, analog electronics designers must develop their IC designs in a minimum of time. The difference between first- and second-time right seriously affects a company s share of the market. Analog designers are therefore in need for structured design methods together with the theory and tools to support them, especially when pushing the performance limits in high-performance designs. Systematic Modeling and Analysis of Telecom Frontends and Their Building Blocks aims to help designers in speeding up telecommunication frontend design by offering an in-depth understanding of the frontend's behavior together with methods and algorithms that support designers in bringing this understanding to practice. The book treats topics such as time-varying phase-locked loop stability, noise in mixing circuits, oscillator injection locking, oscillator phase noise behavior, harmonic oscillator dynamics and many more. In doing so, it always starts from a theoretical foundation that is both rigorous and general. Phase-locked loop and mixer analysis, for example, are grounded upon a general framework for time-varying small-signal analysis. Likewise, analysis of harmonic oscillator transient behavior and oscillator phase noise analysis are treated as particular applications of a general framework for oscillator perturbation analysis. In order to make the book as easy to read as possible, all theory is always accompanied by numerous examples and easy-to-catch intuitive explanations. As such, the book is suited for both computer-aided design engineers looking for general theories and methods, either as background material or for practical implementation in tools, as well as for practicing circuit designers looking for help and insight in dealing with a particular application or a particular high-performance design problem.

Sklep: Libristo.pl

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t1=0.066, t2=0, t3=0, t4=0, t=0.066