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Quantum Mechanics

Author: Leslie E. Ballentine
Publisher: World Scientific
ISBN: 9789810241056
Size: 50.83 MB
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"the book is of greatest benefit to students of quantum mechanics who want to learn more than solely computational recipes and predictive tools of the theory, and, in this sense, the book really fills a gap in the literature".Mathematical Reviews, 1999

Quantum Mechanics

Author: Leslie E Ballentine
Publisher: World Scientific Publishing Company
ISBN: 9814578606
Size: 30.33 MB
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Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory. In this edition a new chapter on quantum information is added. As the topic is still in a state of rapid development, a comprehensive treatment is not feasible. The emphasis is on the fundamental principles and some key applications, including quantum cryptography, teleportation of states, and quantum computing. The impact of quantum information theory on the foundations of quantum mechanics is discussed. In addition, there are minor revisions to several chapters. The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it can be used by senior undergraduates too.

Quantum Mechanics

Author: Leslie E Ballentine
Publisher: World Scientific Publishing Company
ISBN: 9813103094
Size: 15.72 MB
Format: PDF, Mobi
View: 4720
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Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory. The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it could be used by senior undergraduates too.

Quantum Mechanics

Author: Mark Beck
Publisher: Oxford University Press
ISBN: 0199798230
Size: 59.82 MB
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This textbook presents quantum mechanics at the junior/senior undergraduate level. It is unique in that it describes not only quantum theory, but also presents five laboratories that explore truly modern aspects of quantum mechanics. These laboratories include "proving" that light contains photons, single-photon interference, and tests of local realism. The text begins by presenting the classical theory of polarization, moving on to describe the quantum theory of polarization. Analogies between the two theories minimize conceptual difficulties that students typically have when first presented with quantum mechanics. Furthermore, because the laboratories involve studying photons, using photon polarization as a prototypical quantum system allows the laboratory work to be closely integrated with the coursework. Polarization represents a two-dimensional quantum system, so the introduction to quantum mechanics uses two-dimensional state vectors and operators. This allows students to become comfortable with the mathematics of a relatively simple system, before moving on to more complicated systems. After describing polarization, the text goes on to describe spin systems, time evolution, continuous variable systems (particle in a box, harmonic oscillator, hydrogen atom, etc.), and perturbation theory. The book also includes chapters which describe material that is frequently absent from undergraduate texts: quantum measurement, entanglement, quantum field theory and quantum information. This material is connected not only to the laboratories described in the text, but also to other recent experiments. Other subjects covered that do not often make their way into undergraduate texts are coherence, complementarity, mixed states, the density operator and coherent states. Supplementary material includes further details about implementing the laboratories, including parts lists and software for running the experiments. Computer simulations of some of the experiments are available as well. A solutions manual for end-of-chapter problems is available to instructors.

Lectures On Quantum Mechanics

Author: Steven Weinberg
Publisher: Cambridge University Press
ISBN: 131636903X
Size: 24.28 MB
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Nobel Laureate Steven Weinberg combines exceptional physical insight with his gift for clear exposition, to provide a concise introduction to modern quantum mechanics, in this fully updated second edition of his successful textbook. Now including six brand new sections covering key topics such as the rigid rotator and quantum key distribution, as well as major additions to existing topics throughout, this revised edition is ideally suited to a one-year graduate course or as a reference for researchers. Beginning with a review of the history of quantum mechanics and an account of classic solutions of the Schrödinger equation, before quantum mechanics is developed in a modern Hilbert space approach, Weinberg uses his remarkable expertise to elucidate topics such as Bloch waves and band structure, the Wigner–Eckart theorem, magic numbers, isospin symmetry, and general scattering theory. Problems are included at the ends of chapters, with solutions available for instructors at www.cambridge.org/9781107111660.

The Quantum Mechanics Solver

Author: Jean-Louis Basdevant
Publisher: Springer Science & Business Media
ISBN: 3540294643
Size: 40.86 MB
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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.

Quantum Mechanics And Quantum Field Theory

Author: Jonathan Dimock
Publisher: Cambridge University Press
ISBN: 1139497480
Size: 49.52 MB
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Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

Computational Quantum Mechanics For Materials Engineers

Author: Levente Vitos
Publisher: Springer Science & Business Media
ISBN: 1846289513
Size: 48.82 MB
Format: PDF
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Traditionally, new materials have been developed by empirically correlating their chemical composition, and the manufacturing processes used to form them, with their properties. Until recently, metallurgists have not used quantum theory for practical purposes. However, the development of modern density functional methods means that today, computational quantum mechanics can help engineers to identify and develop novel materials. “Computational Quantum Mechanics for Materials Engineers” describes new approaches to the modelling of disordered alloys that combine the most efficient quantum-level theories of random alloys with the most sophisticated numerical techniques to establish a theoretical insight into the electronic structure of complex materials such as stainless steels, Hume-Rothery alloys and silicates. The practical success of these approaches to applications in all of these areas are covered in detail. The new EMTO-CPA method is detailed, including its application in alloys to model structural stability and elastic properties of random alloys of arbitrary composition and the effect of alloying elements on elastic stiffnesses stacking fault energies and structural parameters. The EMTO-CPA method makes new approaches to computational alloy design feasible. “Computational Quantum Mechanics for Materials Engineers” shows how the technique will soon allow materials engineers to become “quantum blacksmiths”. “Computational Quantum Mechanics for Materials Engineers” will interest researchers and postgraduate students in materials science and engineering, solid-state physics and applied quantum mechanics.