Computational Methods In Classical And Quantum Physics
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Computational Methods In Classical And Quantum Physics
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Author :
language : en
Publisher:
Release Date : 1976
Computational Methods In Classical And Quantum Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Mathematical Optics
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Author : Vasudevan Lakshminarayanan
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Mathematical Optics written by Vasudevan Lakshminarayanan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.
Computational Methods In Classical And Quantum Physics
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Author :
language : en
Publisher:
Release Date : 1976
Computational Methods In Classical And Quantum Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Computational Methods For Physics
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Author : Joel Franklin
language : en
Publisher: Cambridge University Press
Release Date : 2013-05-23
Computational Methods For Physics written by Joel Franklin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-23 with Science categories.
There is an increasing need for undergraduate students in physics to have a core set of computational tools. Most problems in physics benefit from numerical methods, and many of them resist analytical solution altogether. This textbook presents numerical techniques for solving familiar physical problems where a complete solution is inaccessible using traditional mathematical methods. The numerical techniques for solving the problems are clearly laid out, with a focus on the logic and applicability of the method. The same problems are revisited multiple times using different numerical techniques, so readers can easily compare the methods. The book features over 250 end-of-chapter exercises. A website hosted by the author features a complete set of programs used to generate the examples and figures, which can be used as a starting point for further investigation. A link to this can be found at www.cambridge.org/9781107034303.
Classical Mechanics
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Author : Christopher W. Kulp
language : en
Publisher: CRC Press
Release Date : 2020-11-16
Classical Mechanics written by Christopher W. Kulp and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-16 with Science categories.
Classical Mechanics: A Computational Approach with Examples using Python and Mathematica provides a unique, contemporary introduction to classical mechanics, with a focus on computational methods. In addition to providing clear and thorough coverage of key topics, this textbook includes integrated instructions and treatments of computation. Full of pedagogy, it contains both analytical and computational example problems within the body of each chapter. The example problems teach readers both analytical methods and how to use computer algebra systems and computer programming to solve problems in classical mechanics. End-of-chapter problems allow students to hone their skills in problem solving with and without the use of a computer. The methods presented in this book can then be used by students when solving problems in other fields both within and outside of physics. It is an ideal textbook for undergraduate students in physics, mathematics, and engineering studying classical mechanics. Features: Gives readers the "big picture" of classical mechanics and the importance of computation in the solution of problems in physics Numerous example problems using both analytical and computational methods, as well as explanations as to how and why specific techniques were used Online resources containing specific example codes to help students learn computational methods and write their own algorithms A solutions manual is available via the Routledge Instructor Hub and extra code is available via the Support Material tab
Quantum Mechanics
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Author : Mark Julian Everitt
language : en
Publisher: John Wiley & Sons
Release Date : 2023-12-26
Quantum Mechanics written by Mark Julian Everitt and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-26 with Science categories.
Quantum mechanics: from classical analytical mechanics to quantum mechanics, simulation, foundations & engineering Quantum mechanics is a fundamental subject in physics, often considered to be one of the most conceptually challenging topics. In many undergraduate courses, it is assumed that students are unfamiliar with the Lagrangian and Hamiltonian formulations of classical mechanics or the role of probability in Liouville's theorem (analytical mechanics). As a result, quantum physics is typically introduced using heuristic arguments, which can lead to surprising and counterintuitive concepts, and sometimes even incorrect interpretations. This book takes an alternative approach by leveraging classical analytical mechanics to facilitate a natural transition to quantum physics. By introducing and utilising classical mechanics, we provide a solid foundation for understanding quantum phenomena. We discuss important examples within this context and explore both exact and computational methods. Additionally, this book delves into quantum measurement and the transition from the quantum to the classical realm. It also introduces the emerging field of Quantum Systems Engineering, which focuses on the systematic design and construction of quantum technologies, such as quantum computers and sensors. Key features of this textbook include: Mathematics and Classical Analytical Mechanics: The necessary mathematical background and classical analytical mechanics are introduced gradually, allowing readers to focus on one conceptual challenge at a time. Deductive Approach: Quantum mechanics is presented on the firm foundation of classical analytical mechanics, ensuring a logical progression of concepts. Pedagogical Features: The book includes helpful notes, worked examples, problems, computational challenges, and problem-solving approaches to enhance understanding. Comprehensive Coverage: It goes beyond introductory texts by including topics such as open quantum systems and phase-space methods. Advanced computational methods are also discussed, including good programming practices and code design. Much of the code needed to reproduce figures throughout the book is provided. Consideration of Foundations: The measurement problem and correspondence principle are addressed only after sufficient material has been introduced to allow for an open and critical discussion. Introduction to Quantum Systems Engineering: This book provides an accessible introduction and motivation to this framework. This textbook is suitable for undergraduate students in physics and graduate students in mathematics, chemistry, engineering, and materials science.
A Computational Introduction To Quantum Physics
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Author : Sølve Selstø
language : en
Publisher: Cambridge University Press
Release Date : 2024-04-25
A Computational Introduction To Quantum Physics written by Sølve Selstø and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-25 with Science categories.
This concise textbook introduces an innovative computational approach to quantum mechanics. Over the course of this engaging and informal book, students are encouraged to take an active role in learning key concepts by working through practical exercises. The book equips readers with some basic methodology and a toolbox of scientific computing methods, so they can use code to simulate and directly visualize how quantum particles behave. The important foundational elements of the wave function and the Schrödinger equation are first introduced, then the text gradually builds up to advanced topics including relativistic, open, and non-Hermitian quantum physics. This book assumes familiarity with basic mathematics and numerical methods, and can be used to support a two-semester advanced undergraduate course. Source code and solutions for every book exercise involving numerical implementation are provided in Python and MATLAB®, along with supplementary data. Additional problems are provided online for instructor use with locked solutions.
Computational Physics
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Author : Philipp Scherer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-17
Computational Physics written by Philipp Scherer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-17 with Science categories.
This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.
Computational Physics
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Author : Philipp O.J. Scherer
language : en
Publisher: Springer
Release Date : 2017-09-07
Computational Physics written by Philipp O.J. Scherer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-07 with Science categories.
This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained. Partial differential equations are treated generally comparing important methods, and equations of motion are solved by a large number of simple as well as more sophisticated methods. Several modern algorithms for quantum wavepacket motion are compared. The first part of the book discusses the basic numerical methods, while the second part simulates classical and quantum systems. Simple but non-trivial examples from a broad range of physical topics offer readers insights into the numerical treatment but also the simulated problems. Rotational motion is studied in detail, as are simple quantum systems. A two-level system in an external field demonstrates elementary principles from quantum optics and simulation of a quantum bit. Principles of molecular dynamics are shown. Modern boundary element methods are presented in addition to standard methods, and waves and diffusion processes are simulated comparing the stability and efficiency of different methods. A large number of computer experiments is provided, which can be tried out even by readers with no programming skills. Exercises in the applets complete the pedagogical treatment in the book. In the third edition Monte Carlo methods and random number generation have been updated taking recent developments into account. Krylov-space methods for eigenvalue problems are discussed in much more detail. Short time Fourier transformation and wavelet transformation have been included as tools for time-frequency analysis. Lastly, elementary quantum many-body problems demonstrate the application of variational and Monte-Carlo methods.
Classical Field Theory
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Author : Joel Franklin
language : en
Publisher: Cambridge University Press
Release Date : 2017-04-27
Classical Field Theory written by Joel Franklin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-27 with Science categories.
Special relativity -- Point particle fields -- Field Lagrangians -- Gravity
