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The Harmonic Oscillator In Modern Physics
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Download or read book Harmonic Oscillator written by Moshinsky and published by CRC Press. This book was released on 1996-05-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Harmonic Oscillator in Modern Physics by : Marcos Moshinsky
Download or read book The Harmonic Oscillator in Modern Physics written by Marcos Moshinsky and published by Routledge. This book was released on 1969 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Harmonic Oscillator in Modern Physic by : Marcos Moshinsky (Physicien)
Download or read book The Harmonic Oscillator in Modern Physic written by Marcos Moshinsky (Physicien) and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harmonic Oscillators and Two-By-Two Matrices in Symmetry Problems in Physics by : Young Suh Kim
Download or read book Harmonic Oscillators and Two-By-Two Matrices in Symmetry Problems in Physics written by Young Suh Kim and published by MDPI. This book was released on 2018-07-09 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Harmonic Oscillators In Modern Physics" that was published in Symmetry
Book Synopsis The Harmonic Oscillator in Modern Physics: from Atoms to Quarks by : M. Moshinsky
Download or read book The Harmonic Oscillator in Modern Physics: from Atoms to Quarks written by M. Moshinsky and published by . This book was released on 1968 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Waves and Oscillations by : Walter Fox Smith
Download or read book Waves and Oscillations written by Walter Fox Smith and published by Oxford University Press. This book was released on 2010-05-20 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book University Physics written by OpenStax and published by . This book was released on 2016-11-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Modern Physics by : John Mcgervey
Download or read book Introduction to Modern Physics written by John Mcgervey and published by Elsevier. This book was released on 2012-12-02 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Understanding Acoustics by : Steven L. Garrett
Download or read book Understanding Acoustics written by Steven L. Garrett and published by Springer. This book was released on 2017-02-24 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Physics of the Lorentz Group by : Sibel Baskal
Download or read book Physics of the Lorentz Group written by Sibel Baskal and published by Morgan & Claypool Publishers. This book was released on 2015-11-01 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Classical and Quantum Harmonic Oscillators by : S. C. Bloch
Download or read book Introduction to Classical and Quantum Harmonic Oscillators written by S. C. Bloch and published by Wiley-Interscience. This book was released on 1997-02-18 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: From conch shells to lasers . harmonic oscillators, the timeless scientific phenomenon As intriguing to Galileo as they are to scientists today, harmonic oscillators have provided a simple and compelling paradigm for understanding the complexities that underlie some of nature's and mankind's most fascinating creations. From early string and wind instruments fashioned from bows and seashells to the intense precision of lasers, harmonic oscillators have existed in various forms, as objects of beauty and scientific use. And harmonic oscillation has endured as one of science's most fascinating concepts, key to understanding the physical universe and a linchpin in fields as diverse as mechanics, electromagnetics, electronics, optics, acoustics, and quantum mechanics. Complete with disk, Introduction to Classical and Quantum Harmonic Oscillators is a hands-on guide to understanding how harmonic oscillators function and the analytical systems used to describe them. Professionals and students in electrical engineering, mechanical engineering, physics, and chemistry will gain insight in applying these analytical techniques to even more complex systems. With the help of spreadsheets ready to run on Microsoft Excel (or easily imported to Quattro Pro or Lotus 1-2-3), users will be able to thoroughly and easily examine concepts and questions, of considerable difficulty and breadth, without painstaking calculation. The software allows users to imagine, speculate, and ask "what if .?" and then instantly see the answer. You're not only able to instantly visualize results but also to interface with data acquisition boards to import real-world information. The graphic capability of the software allows you to view your work in color and watch new results blossom as you change parameters and initial conditions. Introduction to Classical and Quantum Harmonic Oscillators is a practical, graphically enhanced excursion into the world of harmonic oscillators that lets the reader experience and understand their utility and unique contribution to scientific understanding. It also describes one of the enduring themes in scientific inquiry, begun in antiquity and with an as yet unimagined future.
Book Synopsis The Quantum Mechanics Solver by : Jean-Louis Basdevant
Download or read book The Quantum Mechanics Solver written by Jean-Louis Basdevant and published by Springer. This book was released on 2019-05-22 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivates students by challenging them with real-life applications of the somtimes esoteric aspects of quantum mechanics that they are learning. Offers completely original excerices developed at teh Ecole Polytechnique in France, which is know for its innovative and original teaching methods. Problems from modern physics to help the student apply just-learnt theory to fields such as molecular physics, condensed matter physics or laser physics.
Book Synopsis Topics In Modern Physics: Theoretical Foundations by : John Dirk Walecka
Download or read book Topics In Modern Physics: Theoretical Foundations written by John Dirk Walecka and published by World Scientific Publishing Company. This book was released on 2013-01-21 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the two previous books entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations exposed the reader to the foundations and frontiers of today's physics, the goal of this third volume is to cover in some detail several topics omitted in the essentially linear progression of the first two.This book is divided into three parts. Part 1 is on quantum mechanics. Analytic solutions to the Schrödinger equation are developed for some basic systems. The analysis is then formalized, concluding with a set of postulates for the theory. Part 2 is on applications of quantum mechanics: approximation methods for bound states, scattering theory, time-dependent perturbation theory, and electromagnetic radiation and quantum electrodynamics. Part 3 covers some selected topics in relativistic quantum field theory: discrete symmetries, the Heisenberg picture, and the Feynman rules for quantum chromodynamics.The three volumes in this series taken together provide a clear, logical, self-contained, and comprehensive base from which the very best students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.
Download or read book Modern Physics written by John Morrison and published by Academic Press. This book was released on 2015-02-24 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Modern Physics for Scientists and Engineers is intended for a first course in modern physics. Beginning with a brief and focused account of the historical events leading to the formulation of modern quantum theory, later chapters delve into the underlying physics. Streamlined content, chapters on semiconductors, Dirac equation and quantum field theory, as well as a robust pedagogy and ancillary package, including an accompanying website with computer applets, assist students in learning the essential material. The applets provide a realistic description of the energy levels and wave functions of electrons in atoms and crystals. The Hartree-Fock and ABINIT applets are valuable tools for studying the properties of atoms and semiconductors. Develops modern quantum mechanical ideas systematically and uses these ideas consistently throughout the book Carefully considers fundamental subjects such as transition probabilities, crystal structure, reciprocal lattices, and Bloch theorem which are fundamental to any treatment of lasers and semiconductor devices Clarifies each important concept through the use of a simple example and often an illustration Features expanded exercises and problems at the end of each chapter Offers multiple appendices to provide quick-reference for students
Book Synopsis A Modern Approach to Quantum Mechanics by : John S. Townsend
Download or read book A Modern Approach to Quantum Mechanics written by John S. Townsend and published by University Science Books. This book was released on 2000 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject.
Book Synopsis Harmonic Oscillators by : Yilun Shang
Download or read book Harmonic Oscillators written by Yilun Shang and published by . This book was released on 2019 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers state-of-the-art advances on harmonic oscillators including their types, functions, and applications. In Chapter 1, Neetik and Amlan have discussed the recent progresses of information theoretic tools in the context of free and confined harmonic oscillator. Confined quantum systems have provided appreciable interest in areas of physics, chemistry, biology, etc., since its inception. A particle under extreme pressure environment unfolds many fascinating, notable physical and chemical changes. The desired effect is achieved by reducing the spatial boundary from infinity to a finite region. Similarly, in the last decade, information measures were investigated extensively in diverse quantum problems, in both free and constrained situations. The most prominent amongst these are: Fisher information, Shannon entropy, Renyi entropy, Tsallis entropy, Onicescu energy and several complexities. Arguably, these are the most effective measures of uncertainty, as they do not make any reference to some specific points of a respective Hilbert space. These have been invoked to explain several physic-chemical properties of a system under investigation. Kullback Leibler divergence or relative entropy describes how a given probability distribution shifts from a reference distribution function. This characterizes a measure of discrimination between two states. In other words, it extracts the change of information in going from one state to another. In Chapter 2, Nabakumar, Subhasree, and Paulami have revisited classical-quantum correspondence in the context of linear Simple Harmonic Oscillator (SHO). According to Bohr''s correspondence principle, quantum mechanically calculated results match with the classically expected results when quantum number is very high. Classical quantum correspondence may also be visualized in the limit when the action integral is much greater than Planck''s constant. When de-Broglie wave length associated with a particle is much larger than system size, then quantum mechanical results also match with the classical results. In the context of dynamics, Ehrenfest equation of motion is used in quantum domain, which is analogous to classical Newton''s equation of motion. SHO is one of the most important systems for several reasons. It is one of the few exactly solvable problems. Any stable molecular potential can be approximated by SHO near the equilibrium point. This builds the foundation for the understanding of complex modes of vibration in large molecules, the motion of atoms in a solid lattice, the theory of heat capacity, vibration motion of nuclei in molecule etc. The authors have revisited the common solution techniques and important properties of both classical and quantum linear SHO. Then they focused on probability distribution, quantum mechanical tunneling, classical and quantum dynamics of position, momentum and their actuations, viral theorems, etc. and also analyzed how quantum mechanical results finally tend to classical results in the high quantum number limit. In Chapter 3, Neeraj has discussed the nature of atomic motions, sometimes referred to as lattice vibrations. The lattice dynamics deals with the vibrations of the atoms inside the crystals. In order to write the dynamic equations of the motion of crystal atoms, we need to describe an inter-atomic interaction. Therefore, it is natural to start the study of the lattice dynamics with the case of small harmonic vibrations. The dynamics of one-dimensional and two-dimensional vibrations of monatomic and diatomic crystals can be understood by using the simple model forces based on harmonic approximation. This harmonic approximation is related to a simple ball-spring model. According to this model, each atom is coupled with the neighboring atoms by spring constants. The collective motion of atoms leads to a distinct traveling wave over the whole crystal, leading to the collective motion, so-called phonon. The simple ball-spring model enlightens us some of the significant common features of lattice dynamics that have been discussed throughout this chapter. Further, this chapter helps in understanding the quantization energy of a harmonic oscillation and the concept of phonon.
Book Synopsis The Amplitude of Oscillation at the Dissociation of a Diatomic Molecule. Modelled as Quantum Harmonic Oscillator by : William Fidler
Download or read book The Amplitude of Oscillation at the Dissociation of a Diatomic Molecule. Modelled as Quantum Harmonic Oscillator written by William Fidler and published by GRIN Verlag. This book was released on 2020-08-05 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research Paper (postgraduate) from the year 2020 in the subject Physics - Theoretical Physics, grade: 1, , language: English, abstract: This work uses findings to generate a set of simple dimensionless equations, one of which yields the maximum amplitude of oscillation of the system at dissociation. The equations incorporate experimental data which are widely available and a set of such data for simple molecules is presented at the conclusion of the work. The simplicity of the equations developed is exemplified by that for the maximum amplitude of oscillation, Xe, when the system encounters an incoming photon possessing the magnitude of the dissociation energy, De, of the molecule, i.e. (Xe/R) = 2 sqrt(De.Be)/We. Here, R is the bond length, We, the energy of the photon which raises the system from the ground state to the first excited state, and Be is the bond rotational constant. It is suggested that the simple expressions developed here have their application in the violent events associated with dissociation in shock waves and/or high energy particles emanating from stellar collapse and hence may be of utility in these areas of astrophysical modelling.
