A Students Guide To The Schroedinger Equation

Author : Daniel A. Fleisch
Publisher : Cambridge University Press
ISBN 13 : 1108834736
Total Pages : 237 pages
Book Rating : 4.35/5 ( download)

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Download or read book A Student's Guide to the Schrödinger Equation written by Daniel A. Fleisch and published by Cambridge University Press. This book was released on 2020-02-20 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.

Author : Daniel Fleisch
Publisher : Cambridge University Press
ISBN 13 : 1107054869
Total Pages : 231 pages
Book Rating : 4.68/5 ( download)

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Download or read book A Student's Guide to Waves written by Daniel Fleisch and published by Cambridge University Press. This book was released on 2015-04-09 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

Author : Usama Al Khawaja
Publisher : Institute of Physics Publishing
ISBN 13 : 9780750324298
Total Pages : 396 pages
Book Rating : 4.95/5 ( download)

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Download or read book Handbook of Exact Solutions to the Nonlinear Schrödinger Equations written by Usama Al Khawaja and published by Institute of Physics Publishing. This book was released on 2019-11-15 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects all known solutions to the nonlinear Schrödinger equation (NLSE) in one resource. In addition, the book organizes the solutions by classifying and grouping them based on aspects and symmetries they possess. Although most of the solutions presented in this book have been derived elsewhere using various methods, the authors present a systematic derivation of many solutions and even include new derivations. They have also presented symmetries and reductions that connect different solutions through transformations and enable classifying new solutions into known classes. For the user to verify that the presented solutions do satisfy the NLSE, this monumental work is accompanied by Mathematica Notebooks containing all solutions. This work also features a large number of figures, and animations are included to help visualize solutions and their dynamics.

Author : Panayotis G. Kevrekidis
Publisher : Springer Science & Business Media
ISBN 13 : 3540891994
Total Pages : 417 pages
Book Rating : 4.94/5 ( download)

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Download or read book The Discrete Nonlinear Schrödinger Equation written by Panayotis G. Kevrekidis and published by Springer Science & Business Media. This book was released on 2009-07-07 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.

Author : David A. B. Miller
Publisher : Cambridge University Press
ISBN 13 : 1139471279
Total Pages : 575 pages
Book Rating : 4.75/5 ( download)

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Download or read book Quantum Mechanics for Scientists and Engineers written by David A. B. Miller and published by Cambridge University Press. This book was released on 2008-04-21 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.

Author : John Francis James
Publisher : Cambridge University Press
ISBN 13 : 9780521004282
Total Pages : 156 pages
Book Rating : 4.84/5 ( download)

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Download or read book A Student's Guide to Fourier Transforms written by John Francis James and published by Cambridge University Press. This book was released on 2002-09-19 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.

Author : Robert Hundt
Publisher : Cambridge University Press
ISBN 13 : 1009103008
Total Pages : 375 pages
Book Rating : 4.08/5 ( download)

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Download or read book Quantum Computing for Programmers written by Robert Hundt and published by Cambridge University Press. This book was released on 2022-03-31 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to quantum computing from a classical programmer's perspective is meant for students and practitioners alike. Over 25 fundamental algorithms are explained with full mathematical derivations and classical code for simulation, using an open-source code base developed from the ground up in Python and C++. After presenting the basics of quantum computing, the author focuses on algorithms and the infrastructure to simulate them efficiently, beginning with quantum teleportation, superdense coding, and Deutsch-Jozsa. Coverage of advanced algorithms includes the quantum supremacy experiment, quantum Fourier transform, phase estimation, Shor's algorithm, Grover's algorithm with derivatives, quantum random walks, and the Solovay–Kitaev algorithm for gate approximation. Quantum simulation is explored with the variational quantum eigensolver, quantum approximate optimization, and the Max-Cut and Subset-Sum algorithms. The book also discusses issues around programmer productivity, quantum noise, error correction, and challenges for quantum programming languages, compilers, and tools, with a final section on compiler techniques for transpilation.

Author : Walter Thirring
Publisher : Springer Science & Business Media
ISBN 13 : 3709176735
Total Pages : 226 pages
Book Rating : 4.33/5 ( download)

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Download or read book The Schrödinger Equation written by Walter Thirring and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the 50th anniversary of the discovery of the Schrodinger equation a small symposium was organized in Vienna. It had mainly retrospective character, where after an appreciation of Schrodinger's scientific achievements the results were collected which one could extract from his equation. Of course not all the developments which originated in Schrodingers dis coveries could be included. Instead, it was attempted to present a review of the established predictions which follow directly from his equation. Despite the 50 years of its existence there are always new results of this sort being found, especially because the necessary mathe matical methods are being developed and become known to the physicists slowly only now .. I want to take the opportunity here to thank the lecturers for their efforts which they put into their excellent talks and their written versions. With their help this volume should become a useful document on the current mathematical art in the treatment of the Schrodinger equation. Finally it is my pleasant obligation to thank the Bundesministerium fUr Wissenschaft und Forschung and the Kulturamt der Gemeinde Wien for their financial support which made it possible to honor one of the great Austrian scientists.

Author : Patrick Hamill
Publisher : Cambridge University Press
ISBN 13 : 1107042887
Total Pages : 185 pages
Book Rating : 4.89/5 ( download)

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Download or read book A Student's Guide to Lagrangians and Hamiltonians written by Patrick Hamill and published by Cambridge University Press. This book was released on 2014 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.

Author : Don S. Lemons
Publisher : Cambridge University Press
ISBN 13 : 110814618X
Total Pages : 115 pages
Book Rating : 4.80/5 ( download)

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Download or read book A Student's Guide to Dimensional Analysis written by Don S. Lemons and published by Cambridge University Press. This book was released on 2017-03-16 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples and end-of-chapter problems with answers provided in an accompanying appendix, which help make it ideal for self-study. Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified and solved, making the book a useful text for advanced students and professionals.