Quantum Dynamics of Simple Systems

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Author :
Publisher : CRC Press
ISBN 13 : 9780750304900
Total Pages : 386 pages
Book Rating : 4.3/5 (49 download)

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Book Synopsis Quantum Dynamics of Simple Systems by : G.L Oppo

Download or read book Quantum Dynamics of Simple Systems written by G.L Oppo and published by CRC Press. This book was released on 1997-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present level of experimental sophistication in quantum physics allows physicists to explore domains unimaginable just a decade ago and to test the most fundamental laws of quantum mechanics. This has led to renewed interest in devising new tests, experiments, and devices where it is possible to observe the interaction and localization of just a few atoms or photons. These techniques have been used to reveal new nonclassical effects, to question the limit of the principle of correspondence, and to force quantum behavior in semiconductors. With contributions from leading experts in quantum systems, Quantum Dynamics of Simple Systems provides an overview of the present range of quantum dynamics, exploring their use and exotic behaviors. It covers specific subjects of quantum dynamics in a competent and detailed way with emphasis on simple systems where few atoms or electrons are involved. This volume will prove to be a useful tool for graduate students as well as experienced physicists.

Simple systems

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Author :
Publisher : World Scientific
ISBN 13 : 9812569723
Total Pages : 214 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Simple systems by : Berthold-Georg Englert

Download or read book Simple systems written by Berthold-Georg Englert and published by World Scientific. This book was released on 2006 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade - Dirac's kets and bras and so on - is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrodinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics - such as Dirac's formalism of kets and bras, Schrodinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them - can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter - the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms."

Open Quantum Systems

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Author :
Publisher : Springer
ISBN 13 : 9811331820
Total Pages : 278 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Open Quantum Systems by : Subhashish Banerjee

Download or read book Open Quantum Systems written by Subhashish Banerjee and published by Springer. This book was released on 2018-11-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.

Lectures On Quantum Mechanics (Second Edition) - Volume 2: Simple Systems

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Author :
Publisher : World Scientific
ISBN 13 : 9811284776
Total Pages : 222 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Lectures On Quantum Mechanics (Second Edition) - Volume 2: Simple Systems by : Berthold-georg Englert

Download or read book Lectures On Quantum Mechanics (Second Edition) - Volume 2: Simple Systems written by Berthold-georg Englert and published by World Scientific. This book was released on 2024-01-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: *The three volumes are not sequential but rather independent of each other and largely self-contained.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.

Lectures On Quantum Mechanics - Volume 2: Simple Systems

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9814365513
Total Pages : 212 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Lectures On Quantum Mechanics - Volume 2: Simple Systems by : Berthold-georg Englert

Download or read book Lectures On Quantum Mechanics - Volume 2: Simple Systems written by Berthold-georg Englert and published by World Scientific Publishing Company. This book was released on 2006-05-18 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: The three volumes are not sequential but rather independent of each other and largely self-contained.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.

Quantum Dynamics of Simple Systems

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Author :
Publisher : CRC Press
ISBN 13 : 9780750304900
Total Pages : 0 pages
Book Rating : 4.3/5 (49 download)

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Book Synopsis Quantum Dynamics of Simple Systems by : G.L Oppo

Download or read book Quantum Dynamics of Simple Systems written by G.L Oppo and published by CRC Press. This book was released on 1997-01-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present level of experimental sophistication in quantum physics allows physicists to explore domains unimaginable just a decade ago and to test the most fundamental laws of quantum mechanics. This has led to renewed interest in devising new tests, experiments, and devices where it is possible to observe the interaction and localization of just a few atoms or photons. These techniques have been used to reveal new nonclassical effects, to question the limit of the principle of correspondence, and to force quantum behavior in semiconductors. With contributions from leading experts in quantum systems, Quantum Dynamics of Simple Systems provides an overview of the present range of quantum dynamics, exploring their use and exotic behaviors. It covers specific subjects of quantum dynamics in a competent and detailed way with emphasis on simple systems where few atoms or electrons are involved. This volume will prove to be a useful tool for graduate students as well as experienced physicists.

Quantum Dynamics

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Author :
Publisher : CRC Press
ISBN 13 : 1439882142
Total Pages : 334 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Quantum Dynamics by : Eric R. Bittner

Download or read book Quantum Dynamics written by Eric R. Bittner and published by CRC Press. This book was released on 2009-07-21 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even though time-dependent spectroscopic techniques continue to push the frontier of chemical physics, they receive scant mention in introductory courses and are poorly covered in standard texts. Quantum Dynamics: Applications in Biological and Materials Systems bridges the gap between what is traditionally taught in a one-semester quantum chemistr

Basic matters

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Author :
Publisher : World Scientific
ISBN 13 : 9812569707
Total Pages : 234 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Basic matters by : Berthold-Georg Englert

Download or read book Basic matters written by Berthold-Georg Englert and published by World Scientific. This book was released on 2006 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: ?The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade -- Dirac's kets and bras and so on -- is introduced early, and the temporal evolution is dealt with in a picture-free manner, with SchrOdinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics -- such as Dirac's formalism of kets and bras, SchrOdinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them -- can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter -- the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.

Physical Chemistry Essentials

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Author :
Publisher : Springer
ISBN 13 : 3319741675
Total Pages : 499 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Physical Chemistry Essentials by : Andreas Hofmann

Download or read book Physical Chemistry Essentials written by Andreas Hofmann and published by Springer. This book was released on 2018-05-17 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the fundamentals of physical chemistry, explaining the concepts in an accessible way and guiding the readers in a step-by-step manner. The contents are broadly divided into two sections: the classical physico-chemical topics (thermodynamics, kinetics, electrochemistry, transport, and catalysis), and the fabric of matter and its interactions with radiation. Particular care has been taken in the presentation of the algebraic parts of physico-chemical concepts, so that the readers can easily follow the explanations and re-work relevant discussion and derivations with pen and paper. The book is accompanied by a rich mathematical appendix. Each chapter includes a selection of (numerical) exercises and problems, so that students can practice and apply the learned topics. An appendix with solutions allows for controlling the learning success. Carefully prepared illustrative color images make this book a great support for teaching physical chemistry to undergraduate students.This textbook mainly addresses undergraduate students in life sciences, biochemistry or engineering, offering them a comprehensive and comprehensible introduction for their studies of physical chemistry. It will also appeal to undergraduate chemistry students as an accessible introduction for their physical chemistry studies.

Lectures On Quantum Mechanics -

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Author :
Publisher :
ISBN 13 : 9789812773739
Total Pages : 213 pages
Book Rating : 4.7/5 (737 download)

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Book Synopsis Lectures On Quantum Mechanics - by : Berthold-georg Englert

Download or read book Lectures On Quantum Mechanics - written by Berthold-georg Englert and published by . This book was released on 2006 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Dynamics of Complex Molecular Systems

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540344608
Total Pages : 424 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Quantum Dynamics of Complex Molecular Systems by : David A. Micha

Download or read book Quantum Dynamics of Complex Molecular Systems written by David A. Micha and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phenomena are ubiquitous in complex molecular systems - as revealed by many experimental observations based upon ultrafast spectroscopic techniques - and yet remain a challenge for theoretical analysis. The present volume, based on a May 2005 workshop, examines and reviews the state-of-the-art in the development of new theoretical and computational methods to interpret the observed phenomena. Emphasis is on complex molecular processes involving surfaces, clusters, solute-solvent systems, materials, and biological systems. The research summarized in this book shows that much can be done to explain phenomena in systems excited by light or through atomic interactions. It demonstrates how to tackle the multidimensional dynamics arising from the atomic structure of a complex system, and addresses phenomena in condensed phases as well as phenomena at surfaces. The chapters on new methodological developments cover both phenomena in isolated systems, and phenomena which involve the statistical effects of an environment, such as fluctuations and dissipation. The methodology part explores new rigorous ways to formulate mixed quantum-classical dynamics in many dimensions, along with new ways to solve a many-atom Schroedinger equation, or the Liouville-von Neumann equation for the density operator, using trajectories and ideas related to hydrodynamics. Part I treats applications to complex molecular systems, and Part II covers new theoretical and computational methods

Quantum Dynamics for Classical Systems

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118400607
Total Pages : 186 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Quantum Dynamics for Classical Systems by : Fabio Bagarello

Download or read book Quantum Dynamics for Classical Systems written by Fabio Bagarello and published by John Wiley & Sons. This book was released on 2012-10-11 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces number operators with a focus on the relationship between quantum mechanics and social science Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools—the number operator in particular—can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results. The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include: Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of models Illustrations of the use of creation and annihilation operators for classical problems Examples of the recent increase in research and literature on the many applications of quantum tools in applied mathematics Clarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models.

Lectures on Quantum Mechanics

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Author :
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789812567901
Total Pages : 656 pages
Book Rating : 4.5/5 (679 download)

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Book Synopsis Lectures on Quantum Mechanics by : Berthold-Georg Englert

Download or read book Lectures on Quantum Mechanics written by Berthold-Georg Englert and published by World Scientific Publishing Company Incorporated. This book was released on 2006 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann–Feynman theorem to the WKB quantization rule.

Variational Principles in Dynamics and Quantum Theory

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486151131
Total Pages : 224 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Variational Principles in Dynamics and Quantum Theory by : Wolfgang Yourgrau

Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by Courier Corporation. This book was released on 2012-04-26 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div

Chaos in Classical and Quantum Mechanics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461209838
Total Pages : 445 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Chaos in Classical and Quantum Mechanics by : Martin C. Gutzwiller

Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Quantum Dynamics with Trajectories

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387281452
Total Pages : 425 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Quantum Dynamics with Trajectories by : Robert E. Wyatt

Download or read book Quantum Dynamics with Trajectories written by Robert E. Wyatt and published by Springer Science & Business Media. This book was released on 2006-05-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers

Classical Dynamics of Particles and Systems

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Author :
Publisher : Academic Press
ISBN 13 : 1483272818
Total Pages : 593 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Classical Dynamics of Particles and Systems by : Jerry B. Marion

Download or read book Classical Dynamics of Particles and Systems written by Jerry B. Marion and published by Academic Press. This book was released on 2013-10-22 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.