Skip to main content
Elsevier
View Cart
openUserAccount

Books in Nonlinear statistical and applied physics

BooksJournals
111-120 of 331 results in All results

Mathematical Techniques and Physical Applications

  • 1st Edition
  • November 14, 2012
  • J Killingbeck
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 4 2 8 2 - 3
Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book.

Methods of Modern Mathematical Physics

  • 1st Edition
  • November 14, 2012
  • Michael Reed
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 5 5 0 0 - 7
Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics. This book also analyzes the influence of mathematics on physics, such as the Newtonian mechanics used to interpret all physical phenomena. Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations. This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.

Electrodynamics

  • 1st Edition
  • November 14, 2012
  • Edward Ramberg
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 5 2 7 4 - 7
Lectures on Theoretical Physics provides an overview of the fundamental principles of electrodynamics. It presents biographical notes on several scientists, including Michael Faraday, James Clerk Maxwell, Heinrich Hertz, and André Marie Ampère. The book is comprised of four parts encompassing 38 chapters. Part One explains Maxwell’s equation as an axiomatic basis, in the coordinates and in differential form, but in integral form. Part Two discusses the various classes of phenomena in stationary, quasi-stationary, static, and rapidly variable fields. It also distinguishes between summation and boundary-value problems in electrostatics and magnetostatics. Part Three presents the four-dimensional form of electrodynamics as the basic introduction to the theory of relativity. It also considers the fundamental link between the dynamics of the individual electron and Maxwell’s theory. Finally, Part Four deals with the electrodynamics of moving media. This book is a valuable resource to scientists, researchers, and individuals working in the field of theoretical physics.

Vibrational Spectra of Benzene Derivatives

  • 1st Edition
  • November 14, 2012
  • G Varsanyi
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 5 0 6 6 - 8
Vibrational Spectra of Benzene Derivatives specifically deals with the problems of the vibrational spectra of benzene and its derivatives. The book is divided into three chapters. Chapter 1 explains the concepts of the electronic and electronic-vibration spectra, vibrational spectra, and rotational spectra. Chapter 2 tackles the normal co-ordinate analysis of the benzene molecule; the force field of substituted benzene derivatives; and elementary problems of intensity analysis. Chapter 3 covers the normal vibrations of benzene and its derivatives, which include tangential vibrations; out-of-plane vibrations; and internal vibrations of substituent groups. The book also contains an appendix dedicated for the frequency region of different normal vibrations of benzene derivatives. The text is recommended for chemists who are intrigued with the problems related to the vibrational spectra of benzene derivatives and are in need of a reference book.

Perspectives in Theoretical Physics

  • 1st Edition
  • November 13, 2012
  • J. B. Sykes + 1 more
  • L. P. Pitaevskii
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 8 4 7 1 - 1
Evgenii Mikhailovich Lifshitz is perhaps best known for his long association with his mentor Lev D Landau, with whom he co-wrote the classic Course of Theoretical Physics, but he was a noted and respected Soviet physicist in his own right. Born in the Ukraine to a scientific family, his long and distinguished career will be remembered for three things - his collaboration with Landau on the internationally acclaimed Course of Theoretical Physics, his work as editor of the Journal of Experimental and Theoretical Physics, and his scientific papers. As well as his work with Landau, E\M\Lifshitz collaborated with many noted Soviet scientists such as I\M\Khalatnikov, I\E\Dyzaloshinskii, V\V\Sudakov, V\A\Belinskii and the editor of this book, L\P\Pitaevskii. Many of the papers presented in this book include their contribution. Collected together they give a comprehensive and penetrating insight into the man and his work, clearly showing Lifshitz's contribution to physics and the influences on his work.

Operator Methods in Quantum Mechanics

  • 1st Edition
  • November 13, 2012
  • Martin Schechter
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 6 0 1 0 5 - 6
Operator Methods in Quantum Mechanics demonstrates the power of operator theory as a tool in the study of quantum mechanics. More specifically, it shows how to use algebraic, representation-independent methods to solve one- and three-dimensional problems, including certain relativistic problems. It explains the applications of commutation relations, shift operators, and the virial, hypervirial, and Hellman-Feyman theorems to the calculation of eigenvalues, matrix elements, and wave functions. Organized into 16 chapters, this book begins by presenting a few simple postulates describing quantum theory and looking at a single particle moving along a straight line. Then, it introduces mathematical techniques that answer questions about the particle. It also discusses the use of spectral theorem in answering various questions concerning observables, along with negative eigenvalues and methods of determining parts of the spectrum or estimating lower bounds. Moreover, it explains the time-independent or stationary-state scattering theory and states, long-range potentials, and completeness and strong completeness. Oscillating potentials, eigenfunction expansions, restricted particles, hard-core potentials, the invariance principle, and the use of trace class operators to treat scattering theory are also described in this book. This volume is a valuable resource for physicists, as well as students of intermediate quantum mechanics and postgraduate students who want to be acquainted with the algebraic method of solving quantum mechanical problems.

Mathematical methods in Nuclear reactor Dynamics

  • 1st Edition
  • November 12, 2012
  • Ziya Akcasuh
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 4 9 0 8 - 2
Mathematical Methods in Nuclear Reactor Dynamics covers the practical and theoretical aspects of point-reactor kinetics and linear and nonlinear reactor dynamics. The book, which is a result of the lectures given at the University of Michigan, is composed of seven chapters. The opening chapter of the book describes various physical phenomena influencing the temporal behavior of neutrons to provide insights into the physics of reactor dynamics and the interrelationships between various diverse phenomena. The text then presents a set of equations, called point kinetic equation, which describes the time behavior of the total power generated in the medium. The book also provides a short discussion on Gyftopoulos modification and Becker’s formulation. The next chapters explore the exact methods for solving the feedback-free point kinetic equations for a number of reactivity insertions and the validity of the various approximate methods of solution. The book also examines the derivation of models for a certain reactor type and briefly discusses the validity of these models in certain cases against experimental data. A chapter focuses on a concise presentation of the stability theory of linear systems with feedback. Lastly, the concepts of stability in nonlinear reactor systems and the criteria for asymptotic stability in the large as well as in a finite domain of initial disturbances are covered in the concluding chapter. The text is an ideal source for nuclear engineers and for those who have adequate background in reactor physics and operational and applied mathematics.

Space Groups and Their Representations

  • 1st Edition
  • November 12, 2012
  • Gertjan Koster
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 6 1 1 7 - 6
Space Groups and Their Representations focuses on the discussions on space groups and their corresponding numerical and analytical representations. Divided into six chapters, the book starts with the presentation of the nature and properties of space groups. This topic includes orthogonal transformations and Bravais lattices, such as cubic system, triclinic system, trigonal and hexagonal systems, monoclinic systems, and tetragonal systems. The book then proceeds with the discussion on the irreducible representations of space groups, and then covers the general theory, simplification, and introduction. Discussions on various examples of space groups are given in the third chapter. Numerical representations are provided to support the validity of the different space groups, including discussions on double groups. The book also points out that the irreducible representation of space groups and the application of representation theory to them manifest the latest developments on geometrical crystallography. The text is a vital source of data for scholars and readers who are interested to study space groups and crystallography.

Physical Acoustics V6

  • 1st Edition
  • November 12, 2012
  • Warren P. Mason
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 5 1 6 7 - 2
Physical Acoustics: Principles and Methods, Volume VI provides five chapters covering the whole of physical acoustics. The first chapter extends the methods for studying high frequency sound waves in the hypersonic range by the technique of Brillouin scattering. The next chapter discusses the acoustic properties of materials of the perovskite structure. These materials have ""soft"" modes, which are transverse optic modes of the phonon spectrum that have unusually low and strongly temperature dependent frequencies. This chapter expounds the influence of the soft modes, with particular attention to potassium tantalate and strontium titanate. The third chapter gives a theoretical treatment of the properties and possibilities of surface waves in crystals that are becoming of increasing interest for delay lines, amplifiers of sound waves, and other practical applications. The fourth chapter discusses the experimental methods and results of the dynamic shear properties of solvents and polystyrene solutions from 20 to 300 MHz, including a description of its materials and steady-flow properties. The final chapter deals with condensed helium, which requires quantum reactions to account for its properties. While the experimental data on solid helium are still insufficient, this chapter gives both a theoretical and an experimental account of sound propagation in solid helium, including various liquid forms. This book is recommended to both students and physicists conducting research on physical acoustics.

Physical Acoustics V8

  • 1st Edition
  • November 12, 2012
  • Warren P. Mason
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 5 1 9 5 - 5
Physical Acoustics: Principles and Methods, Volume VIII discusses a number of themes on physical acoustics that are divided into seven chapters. Chapter 1 describes the principles and applications of a tool for investigating phonons in dielectric crystals, the spin phonon spectrometer. The next chapter discusses the use of ultrasound in investigating Landau quantum oscillations in the presence of a magnetic field and their relation to the strain dependence of the Fermi surface of metals. The third chapter focuses on the ultrasonic measurements that are made by pulsing methods with velocities obtained through phase comparison methods and attenuations obtained through comparing pulse heights for successive reflections. In Chapter 4, methods for measuring the properties of solids and liquids at very high pressures are described. Chapter 5 explores some of the relationships between the thermal equilibrium properties of solids and mechanical properties such as the second- and third-order elastic constants. The sixth chapter discusses the interaction of sound waves with thermal phonons in dielectric crystals and emphasizes the relationship between the various theories proposed and the effect of phonon interactions on the velocity of sound. The last chapter describes the applications to metals and rock mechanics of internal friction at low frequencies due to dislocations. This book is beneficial to students and physicists conducting work on physical acoustics.

Related subjects

Acoustics

Classical and quantum physics mechanics and fields

Fluid dynamics

Kinetic and transport theory of fluids physical properties of gases

Mathematical methods in physics

Mechanics elasticity rheology

Nonlinear statistical and mathematical physics general

Relativity and gravitation

Statistical physics and thermodynamics

Ultrasonics