The Harmonic Oscillator in Modern Physics PDF Download
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Author: Marcos Moshinsky
Publisher: Taylor & Francis
ISBN: 9783718606214
Category : Medical
Languages : en
Pages : 414
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Book Description
This work explores the application of harmonic oscillator states in problems of atomic, molecular, nuclear and elementary particle physics. The early chapters offer a comprehensive discussion of problems involving from one to four particles and the n-particle problem in the Hartree-Fock approximation, with extensive use of the transformation brackets for harmonic oscillator coefficients and related concepts. The application of harmonic oscillator states to scattering problems is also discussed, as is the group theory underlying the harmonic oscillator and its application to the Coulomb problem, collective motions in nuclei, and relativistic many body problems with oscillator interactions. Written by two internationally-recognized experts in the field, this book will serve as an essential resource for the serious graduate student as well as the professional physicist or mathematician.
Author: Marcos Moshinsky
Publisher: Taylor & Francis
ISBN: 9783718606214
Category : Medical
Languages : en
Pages : 414
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Book Description
This work explores the application of harmonic oscillator states in problems of atomic, molecular, nuclear and elementary particle physics. The early chapters offer a comprehensive discussion of problems involving from one to four particles and the n-particle problem in the Hartree-Fock approximation, with extensive use of the transformation brackets for harmonic oscillator coefficients and related concepts. The application of harmonic oscillator states to scattering problems is also discussed, as is the group theory underlying the harmonic oscillator and its application to the Coulomb problem, collective motions in nuclei, and relativistic many body problems with oscillator interactions. Written by two internationally-recognized experts in the field, this book will serve as an essential resource for the serious graduate student as well as the professional physicist or mathematician.
Author: Marcos Moshinsky
Publisher: Routledge
ISBN:
Category : Mathematics
Languages : en
Pages : 110
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Book Description
Author: Walter Fox Smith
Publisher: Oxford University Press
ISBN: 019539349X
Category : Science
Languages : en
Pages : 416
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Book Description
This lively textbook differs from others on the subject by its usefulness as a conceptual and mathematical preparation for the study of quantum mechanics, by its emphasis on a variety of learning tools aimed at fostering the student's self-awareness of learning, and by its frequent connections to current research.
Author: OpenStax
Publisher:
ISBN: 9781680920451
Category : Science
Languages : en
Pages : 622
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Book Description
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.
Author: Moshinsky
Publisher: CRC Press
ISBN: 9783718606207
Category : Technology & Engineering
Languages : en
Pages : 448
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Book Description
A detailed introduction to the principles of particle detectors used in physics, biology, and medicine. Introductory chapters review the interactions of particles and radiation with matter, introduce the principles of detector operation and describe different types of measurement. The main body of the book describes all currently used detectors and counters, including their basic principles, potential uses and limitations. Two chapters are dedicated to electronics (readout methods, monitoring, data acquisition) and data analysis. A final chapter gives examples of detector systems. Concludes with a glossary of terms, tables of units and physical constants, and a reference list. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Steven L. Garrett
Publisher: Springer
ISBN: 3319499785
Category : Science
Languages : en
Pages : 913
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Book Description
This textbook provides a unified approach to acoustics and vibration suitable for use in advanced undergraduate and first-year graduate courses on vibration and fluids. The book includes thorough treatment of vibration of harmonic oscillators, coupled oscillators, isotropic elasticity, and waves in solids including the use of resonance techniques for determination of elastic moduli. Drawing on 35 years of experience teaching introductory graduate acoustics at the Naval Postgraduate School and Penn State, the author presents a hydrodynamic approach to the acoustics of sound in fluids that provides a uniform methodology for analysis of lumped-element systems and wave propagation that can incorporate attenuation mechanisms and complex media. This view provides a consistent and reliable approach that can be extended with confidence to more complex fluids and future applications. Understanding Acoustics opens with a mathematical introduction that includes graphing and statistical uncertainty, followed by five chapters on vibration and elastic waves that provide important results and highlight modern applications while introducing analytical techniques that are revisited in the study of waves in fluids covered in Part II. A unified approach to waves in fluids (i.e., liquids and gases) is based on a mastery of the hydrodynamic equations. Part III demonstrates extensions of this view to nonlinear acoustics. Engaging and practical, this book is a must-read for graduate students in acoustics and vibration as well as active researchers interested in a novel approach to the material.
Author: John Mcgervey
Publisher: Elsevier
ISBN: 0323161332
Category : Science
Languages : en
Pages : 769
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Book Description
Introduction to Modern Physics, Second Edition is a 16-chapter text that discusses the principles of modern physics. This book deals first with the basic topics of modern science including the atomic nature of matter and electricity; the theory of relativity; the old quantum theory; waves and particles; and the Schrödinger equation. The subsequent chapters cover other general topics of molecular spectra, superconductivity, and the biological effects of radiation, illustrating the fundamental quantum theory of angular momentum and the harmonic oscillator. The remaining chapters explore the properties of nucleus, nuclear transformation, and interactions of particles. This book is an invaluable source for undergraduate quantum mechanics students.
Author: Sibel Baskal
Publisher: Morgan & Claypool Publishers
ISBN: 1681740621
Category : Science
Languages : en
Pages : 173
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Book Description
This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.
Author: John Morrison
Publisher: Academic Press
ISBN: 0128177918
Category : Science
Languages : en
Pages : 487
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Book Description
Modern Physics with Modern Computational Methods, Third Edition presents the ideas that have shaped modern physics and provides an introduction to current research in the different fields of physics. Intended as the text for a first course in modern physics following an introductory course in physics with calculus, the book begins with a brief and focused account of experiments that led to the formulation of the new quantum theory, while ensuing chapters go more deeply into the underlying physics.In this new edition, the differential equations that arise are converted into sets of linear equation or matrix equations by making a finite difference approximation of the derivatives or by using the spline collocation method. MATLAB programs are described for solving the eigenvalue equations for a particle in a finite well and the simple harmonic oscillator and for solving the radial equation for hydrogen. The lowest-lying solutions of these problems are plotted using MATLAB and the physical significance of these solutions are discussed.Each of the later chapters conclude with a description of modern developments. - Makes critical topics accessible by illustrating them with simple examples and figures - Presents modern quantum mechanical concepts systematically and applies them consistently throughout the book - Utilizes modern computational methods with MATLAB programs to solve the equations that arise in physics, and describes the programs and solutions in detail - Covers foundational topics, including transition probabilities, crystal structure, reciprocal lattices, and Bloch theorem to build understanding of applications, such as lasers and semiconductor devices - Features expanded exercises and problems at the end of each chapter as well as multiple appendices for quick reference
Author: Carlo Maria Becchi
Publisher: Springer Science & Business Media
ISBN: 8847016169
Category : Science
Languages : en
Pages : 185
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Book Description
These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework using elementary mathematical tools. A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given.
