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Quantum Mechanics Of The Anharmonic Oscillator
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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 Quantum Oscillators by : Paul Blaise
Download or read book Quantum Oscillators written by Paul Blaise and published by John Wiley & Sons. This book was released on 2011-08-24 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable reference for an overall but simple approach to the complexity of quantum mechanics viewed through quantum oscillators Quantum oscillators play a fundamental role in many areas of physics; for instance, in chemical physics with molecular normal modes, in solid state physics with phonons, and in quantum theory of light with photons. Quantum Oscillators is a timely and visionary book which presents these intricate topics, broadly covering the properties of quantum oscillators which are usually dispersed in the literature at varying levels of detail and often combined with other physical topics. These properties are: time-independent behavior, reversible dynamics, thermal statistical equilibrium and irreversible evolution toward equilibrium, together with anharmonicity and anharmonic couplings. As an application of these intricate topics, special attention is devoted to infrared lineshapes of single and complex (undergoing Fermi resonance or Davydov coupling) damped H-bonded systems, providing key insights into this rapidly evolving area of chemical science. Quantum Oscillators is a long overdue update in the literature surrounding quantum oscillators, and serves as an excellent supplementary text in courses on IR spectroscopy and hydrogen bonding. It is a must-have addition to the library of any graduate or undergraduate student in chemical physics.
Book Synopsis The Physics of Quantum Mechanics by : James Binney
Download or read book The Physics of Quantum Mechanics written by James Binney and published by Oxford University Press, USA. This book was released on 2013-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.
Author :Harald J W Muller-kirsten Publisher :World Scientific Publishing Company ISBN 13 :9814397768 Total Pages :942 pages Book Rating :4.8/5 (143 download)
Book Synopsis Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral (Second Edition) by : Harald J W Muller-kirsten
Download or read book Introduction To Quantum Mechanics: Schrodinger Equation And Path Integral (Second Edition) written by Harald J W Muller-kirsten and published by World Scientific Publishing Company. This book was released on 2012-07-19 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the perturbation expansions show that in most applications these are asymptotic expansions. The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The period of the classical configurations is related to temperature, and permits transitions to the thermal domain to be classified as phase transitions.In this second edition of the text important applications and numerous examples have been added. In particular, the chapter on the Coulomb potential has been extended to include an introduction to chemical bonds, the chapter on periodic potentials has been supplemented by a section on the band theory of metals and semiconductors, and in the chapter on large order behavior a section has been added illustrating the success of converging factors in the evaluation of asymptotic expansions. Detailed calculations permit the reader to follow every step.
Book Synopsis Quantum Anharmonic Oscillator by : Alexander Turbiner
Download or read book Quantum Anharmonic Oscillator written by Alexander Turbiner and published by World Scientific. This book was released on 2023-02-24 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quartic anharmonic oscillator with potential V(x)= x² + g²x⁴ was the first non-exactly-solvable problem tackled by the newly-written Schrödinger equation in 1926. Since that time thousands of articles have been published on the subject, mostly about the domain of small g² (weak coupling regime), although physics corresponds to g² ~ 1, and they were mostly about energies.This book is focused on studying eigenfunctions as a primary object for any g². Perturbation theory in g² for the logarithm of the wavefunction is matched to the true semiclassical expansion in powers of ℏ: it leads to locally-highly-accurate, uniform approximation valid for any g²∈[0,∞) for eigenfunctions and even more accurate results for eigenvalues. This method of matching can be easily extended to the general anharmonic oscillator as well as to the radial oscillators. Quartic, sextic and cubic (for radial case) oscillators are considered in detail as well as quartic double-well potential.
Book Synopsis The Mechanics of the Atom - Scholar's Choice Edition by : Late Nobel Laureate Max Born, (Pr
Download or read book The Mechanics of the Atom - Scholar's Choice Edition written by Late Nobel Laureate Max Born, (Pr and published by . This book was released on 2015-02-15 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Uncommon Paths in Quantum Physics by : Konstantin V. Kazakov
Download or read book Uncommon Paths in Quantum Physics written by Konstantin V. Kazakov and published by Elsevier. This book was released on 2014-06-26 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics is one of the most fascinating, and at the same time most controversial, branches of contemporary science. Disputes have accompanied this science since its birth and have not ceased to this day. Uncommon Paths in Quantum Physics allows the reader to contemplate deeply some ideas and methods that are seldom met in the contemporary literature. Instead of widespread recipes of mathematical physics, based on the solutions of integro-differential equations, the book follows logical and partly intuitional derivations of non-commutative algebra. Readers can directly penetrate the abstract world of quantum mechanics. - First book in the market that treats this newly developed area of theoretical physics; the book will thus provide a fascinating overview of the prospective applications of this area, strongly founded on the theories and methods that it describes. - Provides a solid foundation for the application of quantum theory to current physical problems arising in the interpretation of molecular spectra and important effects in quantum field theory. - New insight into the physics of anharmonic vibrations, more feasible calculations with improved precision.
Book Synopsis Quantum Theory of Anharmonic Effects in Molecules by : Konstantin V. Kazakov
Download or read book Quantum Theory of Anharmonic Effects in Molecules written by Konstantin V. Kazakov and published by Elsevier. This book was released on 2012-07-09 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented in a clear and straightforward analysis, this book explores quantum mechanics and the application of quantum mechanics to interpret spectral phenomena. Specifically, the book discusses the relation between spectral features in mid or rear infrared regions, or in Raman scattering spectrum, and interactions between molecules or molecular species such as molecular ions, and their respective motions in gaseous or crystalline conditions. Beginning with an overview of conventional methods and problems which arise in molecular spectroscopy, the second half of the book suggests original techniques to investigate the area. The treatment is based on rigorous quantum-mechanical theories and procedures that are readily implemented in either manual methods or with symbolic computational software. Offers a novel approach in its application to physical phenomena Concise and clear discussions of quantum-mechanical theories and spectrum analysis Provides both theories and applications
Book Synopsis Quantum Mechanics by : Andrew J. Larkoski
Download or read book Quantum Mechanics written by Andrew J. Larkoski and published by . This book was released on 2022-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This original and innovative textbook takes the unique perspective of introducing and solving problems in quantum mechanics using linear algebra methods, to equip readers with a deeper and more practical understanding of this fundamental pillar of contemporary physics. Extensive motivation for the properties of quantum mechanics, Hilbert space, and the Schrödinger equation is provided through analysis of the derivative, while standard topics like the harmonic oscillator, rotations, and the hydrogen atom are covered from within the context of operator methods. Advanced topics forming the basis of modern physics research are also included, such as the density matrix, entropy, and measures of entanglement. Written for an undergraduate audience, this book offers a unique and mathematically self-contained treatment of this hugely important topic. Students are guided gently through the text by the author's engaging writing style, with an extensive glossary provided for reference and numerous homework problems to expand and develop key concepts. Online resources for instructors include a fully worked solutions manual and lecture slides.
Download or read book Quantum Mechanics written by BOEHM and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written as a text, although many may consider it a mono graph. As a text it has been used several times in both the one-year graduate quantum-mechanics course and (in its shortened version) in a senior quantum mechanics course that I taught at the University of Texas at Austin. It is self-contained and does not require any prior knowledge of quantum mechanics. It also introduces the mathematical language of quantum mechanics, starting with the definitions, and attempts to teach this language by using it. Therefore, it can, in principle, be read without prior knowledge of the theory of linear operators and linear spaces, though some familiarity with linear algebra would be helpful. Prerequisites are knowledge of calculus and of vector algebra and analysis. Also used in a few places are some elementary facts of Fourier analysis and differential equations. Most physical examples are taken from the fields of atomic and molecular physics, as it is these fields that are best known to students at the stage when they learn quantum mechanics. This book may be considered a monograph because the presentation here is different from the usual treatment in many standard textbooks on quantum mechanics. It is not that a "different kind" of quantum mechanics is pre sented here; this is conventional quantum mechanics (" Copenhagen inter pretation ").
Book Synopsis Molecular Quantum Mechanics by : Peter W. Atkins
Download or read book Molecular Quantum Mechanics written by Peter W. Atkins and published by Oxford University Press. This book was released on 2011 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text unravels those fundamental physical principles which explain how all matter behaves. It takes us from the foundations of quantum mechanics, through quantum models of atomic, molecular, and electronic structure, and on to discussions of spectroscopy, and the electronic and magnetic properties of molecules.
Book Synopsis Quasi-Exactly Solvable Models in Quantum Mechanics by : A.G Ushveridze
Download or read book Quasi-Exactly Solvable Models in Quantum Mechanics written by A.G Ushveridze and published by CRC Press. This book was released on 2017-07-12 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the requirements of modern quantum physics. Quasi-exactly solvable (QES) models (whose Hamiltonians admit an explicit diagonalization only for some limited segments of the spectrum) provide a practical way forward. Although QES models are a recent discovery, the results are already numerous. Collecting the results of QES models in a unified and accessible form, Quasi-Exactly Solvable Models in Quantum Mechanics provides an invaluable resource for physicists using quantum mechanics and applied mathematicians dealing with linear differential equations. By generalizing from one-dimensional QES models, the expert author constructs the general theory of QES problems in quantum mechanics. He describes the connections between QES models and completely integrable theories of magnetic chains, determines the spectra of QES Schrödinger equations using the Bethe-Iansatz solution of the Gaudin model, discusses hidden symmetry properties of QES Hamiltonians, and explains various Lie algebraic and analytic approaches to the problem of quasi-exact solubility in quantum mechanics. Because the applications of QES models are very wide, such as, for investigating non-perturbative phenomena or as a good approximation to exactly non-solvable problems, researchers in quantum mechanics-related fields cannot afford to be unaware of the possibilities of QES models.
Book Synopsis The Principles of Quantum Mechanics by : Paul Adrien Maurice Dirac
Download or read book The Principles of Quantum Mechanics written by Paul Adrien Maurice Dirac and published by Oxford University Press. This book was released on 1981 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of the chapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.
Book Synopsis Quantum Mechanics by : Peter Galison
Download or read book Quantum Mechanics written by Peter Galison and published by Routledge. This book was released on 2013-09-13 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern science has changed every aspect of life in ways that cannot be compared to developments of previous eras. This four-volume set presents key developments within modern physical science and the effects of these discoveries on modern global life. The first two volumes explore the history of the concept of relativity, the cultural roots of science, the concept of time and gravity before, during, and after Einstein's theory, and the cultural reception of relativity. Volume 3 explores the impact of modern science upon global politics and the creation of a new kind of war, and Volume 4 details the old and new efforts surrounding the elucidation of the quantum world, as well as the cultural impact of particle physics. This reprint collection pools the best scholarship available, collected from a large array of difficult to acquire books, journals, and pamphlets. Each volume begins with an introductory essay, written by one of the top scholars in the history of science. Students and scholars of modern culture, science, and society will find these volumes a veritable research gold mine.
Download or read book Quantum Mechanics written by Arno Böhm and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was written as a text and has been used many times in a one-year graduate quantum mechanics course. One of the reviewers has made me aware that the book can also serve as, " . . . in principle, a handbook of nonrelativistic quantum mechanics. " In the second edition we have therefore added material to enhance its usefulness as a handbook. But it can still be used as a text if certain chapters and sections are ignored. We have also revised the original presentation, in many places at the suggestion of students or colleagues. As a consequence, the contents of the book now exceed the material that can be covered in a one-year quantum mechanics course on the graduate level. But one can easily select the material for a one-year course omitting-according to one's preference-one or several of the following sets of sections: {1. 7, XXI}, {X, XI} or just {XI}, {II. 7, XIII}, {XIV. 5, XV}, {XIX, XX}. Also the material of Sections 1. 5-1. 8 is not needed to start with the physics in Chapter II. Chapters XI, XIII, XIX, and XX are probably the easiest to dispense with and I was contemplating the deletion of some of them, but each chapter found enthusiastic supporters among the readers who advised against it. Chapter I-augmented with some applications from later chapters-can also be used as a separate introductory text on the mathematics of quantum mechanics.
Book Synopsis Introduction to Perturbation Theory in Quantum Mechanics by : Francisco M. Fernandez
Download or read book Introduction to Perturbation Theory in Quantum Mechanics written by Francisco M. Fernandez and published by CRC Press. This book was released on 2000-09-19 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation
Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
