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Author : Peter Gavin Lawrence Leach
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (221 download)
Download or read book The Pendulum in Classical and Quantum Mechanics written by Peter Gavin Lawrence Leach and published by . This book was released on 1975 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gregory L. Baker
Publisher : OUP Oxford
ISBN 13 : 019156530X
Total Pages : 300 pages
Book Rating : 4.1/5 (915 download)
Download or read book The Pendulum written by Gregory L. Baker and published by OUP Oxford. This book was released on 2008-11-28 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The pendulum: a case study in physics is a unique book in several ways. Firstly, it is a comprehensive quantitative study of one physical system, the pendulum, from the viewpoint of elementary and more advanced classical physics, modern chaotic dynamics, and quantum mechanics. In addition, coupled pendulums and pendulum analogs of superconducting devices are also discussed. Secondly, this book treats the physics of the pendulum within a historical and cultural context, showing, for example, that the pendulum has been intimately connected with studies of the earth's density, the earth's motion, and timekeeping. While primarily a physics book, the work provides significant added interest through the use of relevant cultural and historical vignettes. This approach offers an alternative to the usual modern physics courses. The text is amply illustrated and augmented by exercises at the end of each chapter.
Author : Nobuyuki Matsumoto
Publisher : Springer
ISBN 13 : 4431558829
Total Pages : 110 pages
Book Rating : 4.4/5 (315 download)
Download or read book Classical Pendulum Feels Quantum Back-Action written by Nobuyuki Matsumoto and published by Springer. This book was released on 2015-12-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, ultimate sensitive measurement for weak force imposed on a suspended mirror is performed with the help of a laser and an optical cavity for the development of gravitational-wave detectors. According to the Heisenberg uncertainty principle, such measurements are subject to a fundamental noise called quantum noise, which arises from the quantum nature of a probe (light) and a measured object (mirror). One of the sources of quantum noise is the quantum back-action, which arises from the vacuum fluctuation of the light. It sways the mirror via the momentum transferred to the mirror upon its reflection for the measurement. The author discusses a fundamental trade-off between sensitivity and stability in the macroscopic system, and suggests using a triangular cavity that can avoid this trade-off. The development of an optical triangular cavity is described and its characterization of the optomechanical effect in the triangular cavity is demonstrated. As a result, for the first time in the world the quantum back-action imposed on the 5-mg suspended mirror is significantly evaluated. This work contributes to overcoming the standard quantum limit in the future.
Author : J. Daniel Kelley
Publisher : Springer
ISBN 13 : 331946664X
Total Pages : 358 pages
Book Rating : 4.3/5 (194 download)
Download or read book Problems in Classical and Quantum Mechanics written by J. Daniel Kelley and published by Springer. This book was released on 2016-11-30 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of problems that are intended to aid students in graduate and undergraduate courses in Classical and Quantum Physics. It is also intended to be a study aid for students that are preparing for the PhD qualifying exam. Many of the included problems are of a type that could be on a qualifying exam. Others are meant to elucidate important concepts. Unlike other compilations of problems, the detailed solutions are often accompanied by discussions that reach beyond the specific problem.The solution of the problem is only the beginning of the learning process--it is by manipulation of the solution and changing of the parameters that a great deal of insight can be gleaned. The authors refer to this technique as "massaging the problem," and it is an approach that the authors feel increases the pedagogical value of any problem.
Author : David Park
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (91 download)
Download or read book Classical Dynamics and Its Quantum Analogues written by David Park and published by . This book was released on 1990 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oliver Bühler
Publisher : American Mathematical Soc.
ISBN 13 : 9780821883532
Total Pages : 178 pages
Book Rating : 4.8/5 (835 download)
Download or read book A Brief Introduction to Classical, Statistical, and Quantum Mechanics written by Oliver Bühler and published by American Mathematical Soc.. This book was released on 2006 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward G. Steward
Publisher : Imperial College Press
ISBN 13 : 1860949770
Total Pages : 280 pages
Book Rating : 4.8/5 (69 download)
Download or read book Quantum Mechanics written by Edward G. Steward and published by Imperial College Press. This book was released on 2008 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides the reader with an explanation of the origin and establishment of quantum mechanics, with the mathematics in a digestible form, together with a descriptive survey of later developments up to the present day. The mathematical treatment closely follows the original treatment, but in modern terms, using uniform symbolism as much as possible and with simplifications (e.g. the use of one dimension instead of three) to avoid unnecessarily complicated-looking mathematics." "Containing an extensive bibliography and useful appendices as well as references to original works, reviews, and biographies, the reader is well-equipped to delve further into the subject. In addition to its importance for those studying physics, it is also valuable for those studying the history of science."--Jacket.
Author : S. Rajasekar
Publisher : CRC Press
ISBN 13 : 1000729036
Total Pages : 803 pages
Book Rating : 4.0/5 (7 download)
Download or read book Quantum Mechanics I written by S. Rajasekar and published by CRC Press. This book was released on 2022-11-28 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Mechanics I: The Fundamentals provides a graduate-level account of the behavior of matter and energy at the molecular, atomic, nuclear, and sub-nuclear levels. It covers basic concepts, mathematical formalism, and applications to physically important systems. This fully updated new edition addresses many topics not typically found in books at this level, including: Bound state solutions of quantum pendulum Morse oscillator Solutions of classical counterpart of quantum mechanical systems A criterion for bound state Scattering from a locally periodic potential and reflection-less potential Modified Heisenberg relation Wave packet revival and its dynamics An asymptotic method for slowly varying potentials Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell’s theorem Delayed-choice experiments Fractional quantum mechanics Numerical methods for quantum systems A collection of problems at the end of each chapter develops students’ understanding of both basic concepts and the application of theory to various physically important systems. This book, along with the authors’ follow-up Quantum Mechanics II: Advanced Topics, provides students with a broad, up-to-date introduction to quantum mechanics. Print Versions of this book also include access to the ebook version.
Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
ISBN 13 : 1461209838
Total Pages : 445 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Muller-kirsten Harald J W
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101261
Total Pages : 576 pages
Book Rating : 4.8/5 (131 download)
Download or read book Classical Mechanics And Relativity written by Muller-kirsten Harald J W and published by World Scientific Publishing Company. This book was released on 2008-08-21 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a pedagogical tour through mechanics from Newton to Einstein with detailed explanations and a large number of worked examples. From the very beginning relativity is kept in mind, along with its relation to concepts of basic mechanics, such as inertia, escape velocity, Newton's potential, Kepler motion and curvature. The Lagrange and Hamilton formalisms are treated in detail, and extensive applications to central forces and rigid bodies are presented. After consideration of the motivation of relativity, the essential tensor calculus is developed, and thereafter Einstein's equation is solved for special cases with explicit presentation of calculational steps. The combined treatment of classical mechanics and relativity thus enables the reader to see the connection between Newton's gravitational potential, Kepler motion and Einstein's corrections, as well as diverse aspects of mechanics. The text addresses students and others pursuing a course in classical mechanics, as well as those interested in a detailed course on relativity.
Author : Matthew J. Benacquista
Publisher : Springer
ISBN 13 : 3319687808
Total Pages : 554 pages
Book Rating : 4.3/5 (196 download)
Download or read book Classical Mechanics written by Matthew J. Benacquista and published by Springer. This book was released on 2018-02-27 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.
Author : J. Michael Finn
Publisher : Jones & Bartlett Publishers
ISBN 13 : 0763779601
Total Pages : 594 pages
Book Rating : 4.7/5 (637 download)
Download or read book Classical Mechanics written by J. Michael Finn and published by Jones & Bartlett Publishers. This book was released on 2009-06 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Intended as a textbook for an electronic circuit analysis course or a reference for practicing engineers, the book uses a self-study format with hundreds of worked examples to master difficult mathematical topics and circuit design issues. Computer programs using MATLAB on the accompanying CD-ROM provide calculations and executables for visualizing and solving applications from industry. It covers the complex mathematical topics and concepts needed to understand and solve serious problems with circuits."--Publisher's description.
Author : A. O. Bolivar
Publisher : Springer Science & Business Media
ISBN 13 : 9783540201465
Total Pages : 216 pages
Book Rating : 4.2/5 (14 download)
Download or read book Quantum-Classical Correspondence written by A. O. Bolivar and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.
Author : Giulio Casati
Publisher :
ISBN 13 : 9783662183656
Total Pages : 388 pages
Book Rating : 4.1/5 (836 download)
Download or read book Stochastic Behavior in Classical and Quantum Hamiltonian Systems written by Giulio Casati and published by . This book was released on 2014-01-15 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Matthews
Publisher : Springer Science & Business Media
ISBN 13 : 1402035268
Total Pages : 532 pages
Book Rating : 4.4/5 (2 download)
Download or read book The Pendulum written by Michael Matthews and published by Springer Science & Business Media. This book was released on 2006-01-19 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The pendulum is a universal topic in primary and secondary schools, but its full potential for learning about physics, the nature of science, and the relationships between science, mathematics, technology, society and culture is seldom realised. Contributions to this 32-chapter anthology deal with the science, history, methodology and pedagogy of pendulum motion. There is ample material for the richer and more cross-disciplinary treatment of the pendulum from elementary school to high school, and through to advanced university classes. Scientists will value the studies on the physics of the pendulum; historians will appreciate the detailed treatment of Galileo, Huygens, Newton and Foucault’s pendulum investigations; psychologists and educators will learn from the papers on Piaget; teachers will welcome the many contributions to pendulum pedagogy. All readers will come away with a new awareness of the importance of the pendulum in the foundation and development of modern science; and for its centrality in so many facets of society and culture.
Author : Georgios Pastras
Publisher : Springer Nature
ISBN 13 : 3030593851
Total Pages : 111 pages
Book Rating : 4.0/5 (35 download)
Download or read book The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics written by Georgios Pastras and published by Springer Nature. This book was released on 2020-10-31 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems. This book, which focuses on the Weierstrass theory of elliptic functions, aims at senior undergraduate and junior graduate students in physics or applied mathematics. Supplemented by problems and solutions, it provides a fast, but thorough introduction to the mathematical theory and presents some important applications in classical and quantum mechanics. Elementary applications, such as the simple pendulum, help the readers develop physical intuition on the behavior of the Weierstrass elliptic and related functions, whereas more Interesting and advanced examples, like the n=1 Lamé problem-a periodic potential with an exactly solvable band structure, are also presented.
Author : Bernardo Adeva Andany
Publisher : Bernardo Adeva
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4./5 ( download)
Download or read book Introduction to Quantum Mechanics written by Bernardo Adeva Andany and published by Bernardo Adeva. This book was released on 2015-09-08 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course contains a brief and mathematically precise introduction to the conceptual body, and calculation tools, of Quantum Mechanics and Quantum Physics. It is addressed to undergraduate students. The introduction is performed using the semiclassical framework, where Newton´s Classical Mechanics and Relativity as the reference points. Feynman's propagation is used as an axiomatic basis for Quantum Mechanics, completed with the generally admitted ideas about the measurement problem. As a book, it has been revised and re-edited in 2016, 2018 and 2022, and it is now available from Amazon KDP in paperback and as a Kindle Book (see https://www.amazon.com/dp/B09V3X4YK1 in US).
