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Nuclear Reactions explains the development of nuclear reactions, focusing on the study of the quantum scattering phenomena in terms of pure states. This book discusses the early applications of quantum mechanics; simple quantitative ideas; theory of Breit and Wigner; and statistical properties of resonances. The elastic scattering experiments and optical model fits; particle propagation in the optical model; and nuclear matter are also elaborated. This text likewise covers the shell model; inelastic scattering; and (p, 2p) reaction. This publication is beneficial to undergraduate students who have finished the first course in quantum mechanics, as well as those interested in the theory of nuclear reactions.

Applied Group Theory covers group theory and its applications and is designed to cater undergraduate students. This text is comprised of two parts; the first of which discusses topics such as symmetry; crystallographic groups; vibrations in molecules and solids; and electronic states in atoms, molecules, and solids. This book then explains in the second part topics including the elastic characteristic vibrations of symmetrical systems; theory of Brillouin zones and symmetry properties of wave functions in crystals; and magnetic symmetry of crystals. This text also gives hints to solutions of the exercises provided in each discussion. This selection will be invaluable to undergraduate students of mathematics who are in need of reference materials in group theory that are understandable to them. Mathematics instructors will also find this book helpful.

Wave Mechanics discusses the quantum physical concepts of wave. The title accounts the development of quantum theory. The text first covers the historical development of quantum theory, and then proceeds to tackling the two routes to quantum mechanics. Next, the selection discusses the matrix mechanics and wave mechanics as representations of mathematical structures in Hubert space. The text also deals with the physical interpretation of quantum mechanics, along with the temporal development of the physical quantities. In the second part, the selection presents several papers in quantum mechanics. The book will be of great use to students and researchers of quantum physics.

Magnetism in Crystalline Materials covers the applications of the theory of groups of cambiant symmetry and the physical properties of magnetically ordered crystalline solids. This book is divided into eight chapters; the first of which discusses the macroscopic properties of magnetic crystals. The structures of magnetically ordered crystals are then explained; this topic is followed by discussions on the theory of corepresentations; magnetic phase transitions; and the tensor properties of magnetic crystals. This text also looks into topics on electrons, lattice vibrations, and spin waves. This selection will be valuable to physicists and to others interested in the magnetism of crystalline materials.

The Old Quantum Theory

International Series in Natural Philosophy, Volume 86: Gravitation and Relativity provides information pertinent to the fundamental aspects of the theories of gravitation. This book applies the elementary tools of special relativity to the problem of generalizing Newton's theory of gravitation. Organized into 10 chapters, this volume begins with an overview of the principle of relativity, which asserts theta there is no meaningful way of defining absolute velocity. This text then presents a discussion of the Eötvös–Dicke experiments that established the identity of inertial and gravitational mass. Other chapters consider the equations of electrodynamics derived by starting from the equations of electrostatics. This book discusses as well gravitational redshift, deflection of light, and radar echo delay. The final chapter attempts to establish the connection with general relativity and discusses how black holes may manifest themselves to the astronomer. This book is a valuable resource for physicists and undergraduate students in physics.

A Survey of Hidden-Variables Theories is a three-part book on the hidden-variable theories, referred in this book as''theories of the first kind''. Part I reviews the motives in developing different types of hidden-variables theories. The quest for determinism led to theories of the first kind; the quest for theories that look like causal theories when applied to spatially separated systems that interacted in the past led to theories of the second kind. Parts II and III further describe the theories of the first kind and second kind, respectively. This book is written to make the literature on hidden variables comprehensible to those who are confused by the original papers with their controversies, and to average reader of physics papers.

Group Theory in Quantum Mechanics: An Introduction to its Present Usage introduces the reader to the three main uses of group theory in quantum mechanics: to label energy levels and the corresponding eigenstates; to discuss qualitatively the splitting of energy levels as one starts from an approximate Hamiltonian and adds correction terms; and to aid in the evaluation of matrix elements of all kinds, and in particular to provide general selection rules for the non-zero ones. The theme is to show how all this is achieved by considering the symmetry properties of the Hamiltonian and the way in which these symmetries are reflected in the wave functions. This book is comprised of eight chapters and begins with an overview of the necessary mathematical concepts, including representations and vector spaces and their relevance to quantum mechanics. The uses of symmetry properties and mathematical expression of symmetry operations are also outlined, along with symmetry transformations of the Hamiltonian. The next chapter describes the three uses of group theory, with particular reference to the theory of atomic energy levels and transitions. The following chapters deal with the theory of free atoms and ions; representations of finite groups; the electronic structure and vibrations of molecules; solid state physics; and relativistic quantum mechanics. Nuclear physics is also discussed, with emphasis on the isotopic spin formalism, nuclear forces, and the reactions that arise when the nuclei take part in time-dependent processes. This monograph will be of interest to physicists and mathematicians.

Mechanisms of Speech Recognition explores the mechanisms underlying speech recognition. Topics covered include the auditory system, speech production, auditory psychophysics, speech synthesis and analysis, vowel and consonant recognition, and perception of prosodic features and of distorted speech. Automatic speech recognition and models of speech recognition are also given consideration. This volume consists of 11 chapters and begins with an overview of speech recognition, communication, and production. More specifically, it examines the way in which the organs of the vocal apparatus are employed to transform a message consisting of a string of linguistic units, such as words or phonemes, into a wave of continuous sounds which are recognized as speech. The auditory system and its parts are then described, from the ears to the organ of Corti and nerve cells. The chapters that follow focus on the behavior of the hearing system, the various techniques of analyzing speech sounds, and speech synthesizers such as vocoders. The mechanisms underlying the recognition of vowels and consonants are also described, along with the physical parameters of the speech wave which signal the prosody of an utterance, the effects of distortions in the speech wave on speech perception, and tools used in automatic speech recognition. The book concludes with an evaluation of models of speech recognition. This book will be of interest to phoneticians, linguists, physiologists, psychologists, and physicists.

Introduction to Gas Lasers: Population Inversion Mechanisms focuses on important processes in gas discharge lasers and basic atomic collision processes that operate in a gas laser. Organized into six chapters, this book first discusses the historical development and basic principles of gas lasers. Subsequent chapters describe the selective excitation processes in gas discharges and the specific neutral, ionized and molecular laser systems. This book will be a valuable reference on the behavior of gas-discharge lasers to anyone already in the field.

Men of Physics: Galileo Galilei, His Life and His Works deals with Galileo Galilei's radical discoveries and trail during the Inquisition. The book describes the life of Galileo and his many interests in art and music, in addition to science. Galileo is born in Pisa in 1564, and at age 25, he is appointed to the Chair of Mathematics at the University of Pisa. He writes several papers, for example, mathematical continuum as contrasted with physical atomism, and investigates the behavior of magnetic poles. He believes in William Gilbert's experiment that the earth itself is a large magnet. He conducts experiments on oscillations — using a simple pendulum to investigate complex phenomena. He defines uniform motion, with respect to time intervals, whether these are great or small. He suggests a method to measure the speed of light, believing that light has a definite speed. He contributes to knowledge on sunspots, constructs his own telescopes, and is considered by some as the inventor of the telescope. He publishes''The Two Chief World Systems,''comparing the Ptolemaic and Copernican theories of the solar system and claiming that the earth moves and the sun stands still. For this, the Inquisition orders him to stand trial. He confesses, abjures, and lives under house arrest. In 1639, he refuses an offer of freedom by the Pope. Galileo dies in 1642. He is known as the founder of modern physics. Students of history and most readers with general interest will find this book entertaining and informative.

A wide-ranging collection of problems and solutions related to quantum mechanics, this text will be useful to students pursuing an advanced degree in physics. Topics include one-dimensional motion, tunnel effect, commutation relations, Heisenberg relations, spreading of wave packets, operators, angular momentum, spin, central field of force, motion of particles in a magnetic field, atoms, scattering, creation and annihilation operators, density matrix, relativistic wave equations, and many other subjects.Suitable for advanced undergraduates and graduate students of physics, this third edition was edited by Dirk ter Haar, a Fellow of Magdalen College and Reader in Theoretical Physics at the University of Oxford. This enlarged and revised edition includes additional problems from Oxford University Examination papers. The book can be used either in conjunction with another text or as advanced reading for anyone familiar with the basic ideas of quantum mechanics. 1975 edition.

Radio Galaxies: Radiation Transfer, Dynamics, Stability and Evolution of a Synchrotron Plasmon deals with the physics of a region in space containing magnetic field and thermal and relativistic particles (a plasmon). The synchrotron emission and absorption of this region are discussed, along with the properties of its spectrum; its linear and circular polarization; transfer of radiation through such a region; its dynamics and expansion; and interaction with external medium. Comprised of eight chapters, this volume explores the stability, turbulence, and acceleration of particles in a synchrotron plasmon as well as its application to the physics of radio galaxies. The discussion begins with a description of extragalactic radio sources and their properties, followed by an analysis of the emission and absorption of synchrotron radiation. Subsequent chapters focus on the transfer of polarized radiation in a magnetoactive plasma; hydromagnetics and hydromagnetic stability; confinement and structure of extended radio sources; and radio-tail galaxies. The book also considers compact radio sources before concluding with an evaluation of radio source theories. This monograph is addressed primarily to radio astronomers and graduate students working on the interpretation of observational data.

Plasma Astrophysics is a translation from the Russian language; the topics discussed are based on lectures given by V.N. Tsytovich at several universities. The book describes the physics of the various phenomena and their mathematical formulation connected with plasma astrophysics. This book also explains the theory of the interaction of fast particles plasma, their radiation activities, as well as the plasma behavior when exposed to a very strong magnetic field. The text describes the nature of collective plasma processes and of plasma turbulence. One author explains the method of elementary excitation which he has developed. The book also discusses the sporadic radio-emission of the sun, galactic nuclei, radio-galaxies, quasars, and pulsars. The book explains that problems involving terrestrial plasma can be split into parts; in astrophysics, the approach is different. For example, particle acceleration is determined by turbulence spectra that in turn depends on the energy distribution of the accelerated particles. The authors also give theoretical results based on many calculations analysis of observational data: Tsytovich contributes new theoretical calculations. This book can prove helpful for nuclear scientists and researchers working with plasma physics or astro-physics.

Kinetic Theory, Volume 2: Irreversible Processes deals with the kinetic theory of gases and the irreversible processes they undergo. It includes the two papers by James Clerk Maxwell and Ludwig Boltzmann in which the basic equations for transport processes in gases are formulated, together with the first derivation of Boltzmann's'H-theorem'and a discussion of this theorem, along with the problem of irreversibility. Comprised of 10 chapters, this volume begins with an introduction to the fundamental nature of heat and of gases, along with Boltzmann's work on the kinetic theory of gases and statistical mechanics. Energy dissipation, the statistical nature of the second law of thermodynamics, and the eternal return and the recurrence paradox are also considered. The first chapter examines the dynamical theory of gases and its application to the explanation of various properties of gases; the known chemical relation between the density of a gas and its equivalent weight, commonly called the Law of Equivalent Volumes; and the diffusion of one gas through another. Subsequent chapters focus on the thermal equilibrium of gas molecules; the three-body problem and the equations of dynamics; the mechanical theory of heat; and the relation of a general mechanical theorem to the second law of thermodynamics. A mechanical explanation of irreversible processes is also offered. This book will be useful for students of physics at the advanced undergraduate or beginning postgraduate level.

Time and Space Weight and Inertia covers the relationship between time, space weight, and inertia using the principles of theory of relativity and chronogeometry. This book is composed of 12 chapters, and begins with a brief overview of the fundamental aspects of space and time within events. The subsequent chapters deal with the chronogeometry of time and space, and the concept of the Lorentz transformations and pseudo-revolutions. These topics are followed by discussions on the dynamical relationships of metric and other tensors and a presentation of the equations of the theory of electrons. The remaining chapters describe the unique value of the acceleration in free fall, geodesic coordinates carried along in free fall, and the field equations, as well as the so-called curving of light rays. This book will prove useful to physicists and mathematicians.

The Theory of Beta-Decay covers the formulas, theories, probabilities, and spectra of beta-decay. This book is divided into 2 parts compassing 12 chapters, and starts with the introduction to the neutrino and the quantum theoretical background, explaining the basic phenomenon of beta-decay and the emission of electrons. The subsequent chapters deal with the interaction and the transition probability, as well as formulas of solutions. These topics are followed by discussions on the developments in the non-conservation of parity and helicity, the two-component theory of the neutrino, possible invariance under time-reversal and charge conjugation, leptonic number of lepton charge, and muon decay and other theories. Other chapters describe the tentative theory of beta-radiation, the detection of the free neutrino, and the selection rules for the beta-disintegration. The last chapters consider questions and experimental test about beta-decay. The chapters also look into the theories and helicity of neutrino, the theory of the Fermi interaction, and the test of the nature of the vector interaction in beta-decay This book will be of value to physicists and researchers in the allied fields.