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Author : John Von Neumann
ISBN : 0691028931
Genre : Mathematics
File Size : 70.49 MB
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This text shows that insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. It presents the theory of Hermitean operators and Hilbert spaces, providing the framework for transformation theory, and using th

This is a new volume of original essays on the metaphysics of quantum mechanics. The essays address questions such as: What fundamental metaphysics is best motivated by quantum mechanics? What is the ontological status of the wave function? What is the nature of the fundamental space (or space-time manifold) of quantum mechanics?

Author : G. S. Chaddha
ISBN : 8122414656
Genre : Quantum theory
File Size : 80.71 MB
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The Book Is Written Based On Author'S Over Twenty Years Experience Of Teaching Quantum Mechanics To Graduate Students In Physics. It Contains The Portion To Be Covered At Undergraduate Level And Comprises A Two Semester Course For Graduate (Physics) Students. End Of Almost Each Chapter Contains A Problem Set. Most Of The Problems In The Set Are Solved So That Students Can Have An In Depth Knowledge Of The Subject. It Is Strictly In Accordance With The Author'S Conception That No One Can Learn A Subject Without Solving Problems. To Understand The Topics Covered In This Book, Consultation Of No Other Book On Quantum Mechanics Is Necessary. Of Course A Thorough Knowledge Of Vectors And Special Functions Is Assumed. Though A Large Number Of Books Are Available In The Subject, None Of Them Can Be Accepted As A Single Textbook.

Author : Michael Bitbol
ISBN : 9789400917729
Genre : History
File Size : 79.30 MB
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This book is the final outcome of two projects. My first project was to publish a set of texts written by Schrodinger at the beginning of the 1950's for his seminars and lectures at the Dublin Institute for Advanced Studies. These almost completely forgotten texts contained important insights into the interpretation of quantum mechanics, and they provided several ideas which were missing or elusively expressed in SchrOdinger's published papers and books of the same period. However, they were likely to be misinterpreted out of their context. The problem was that current scholarship could not help very much the reader of these writings to figure out their significance. The few available studies about SchrOdinger's interpretation of quantum mechanics are generally excellent, but almost entirely restricted to the initial period 1925-1927. Very little work has been done on Schrodinger's late views on the theory he contributed to create and develop. The generally accepted view is that he never really recovered from his interpretative failure of 1926-1927, and that his late reflections (during the 1950's) are little more than an expression of his rising nostalgia for the lost ideal of picturing the world, not to say for some favourite traditional picture. But the content and style of Schrodinger's texts of the 1950's do not agree at all with this melancholic appraisal; they rather set the stage for a thorough renewal of accepted representations. In order to elucidate this paradox, I adopted several strategies.

Author : Valter Moretti
ISBN : 9788847028357
Genre : Mathematics
File Size : 49.58 MB
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This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another not lesser purpose is to collect in one place a number of useful rigorous statements on the mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out to Master's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.

This book provides a comprehensive treatment of the principles and applications of quantum mechanics with equal emphasis on concept building and problem solving. The book follows an integrated approach to expose the students to applications of quantum mechanics in both physics and chemistry streams. A chapter is devoted to biological applications as well, to evince the interest of the students pursuing courses in Biotechnology and Bioinformatics. Such unique organization of the book makes it suitable for both Quantum Mechanics and Quantum Chemistry courses, where the common areas like molecular structure and spectroscopy are emphasized. The book, in its second edition, continues to serve as an ideal textbook for the first-year postgraduate students of both physics and chemistry as well as for senior undergraduate students pursuing honours courses in these disciplines. It has been thoroughly revised and enlarged with the introduction of a new chapter on “Quantum Statistics and Planck's Law of Black-Body Radiation”, some important sections in various chapters and more worked-out examples. The book helps students learn difficult concepts of quantum mechanics with simpler mathematics and intuitive language, but without sacrificing rigour. It has informal classroom type approach suitable for self-learning. Key Features • Gives about 200 worked-out examples and chapter-end problems with hints and answers related to different areas of modern science including biology. • Highlights important technological developments based on Quantum Mechanics, such as electron microscope, scanning tunnelling microscope, lasers, Raman spectroscopy and Nuclear Magnetic Resonance (NMR). • Provides adequate number of illustrations. • Includes detailed mathematical derivations separately in Appendices for a more rigorous approach.

With its emphasis on the history and philosophical foundations of physics, this book will interest lay readers as well as students and professionals. The distinguished author discusses pioneers in the field, including Pauli, Einstein, Bohr, and de Broglie. Topics include hidden-variable and causal theories, pilot wave, and Schrödinger's equation. 2013 edition.

Author : Claude Cohen-Tannoudji
ISBN : 0471569526
Genre : Science
File Size : 71.97 MB
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Beginning students of quantum mechanics frequently experience difficulties separating essential underlying principles from the specific examples to which these principles have been historically applied. Nobel-Prize-winner Claude Cohen-Tannoudji and his colleagues have written this book to eliminate precisely these difficulties. Fourteen chapters provide a clarity of organization, careful attention to pedagogical details, and a wealth of topics and examples which make this work a textbook as well as a timeless reference, allowing to tailor courses to meet students' specific needs. Each chapter starts with a clear exposition of the problem which is then treated, and logically develops the physical and mathematical concept. These chapters emphasize the underlying principles of the material, undiluted by extensive references to applications and practical examples which are put into complementary sections. The book begins with a qualitative introduction to quantum mechanical ideas using simple optical analogies and continues with a systematic and thorough presentation of the mathematical tools and postulates of quantum mechanics as well as a discussion of their physical content. Applications follow, starting with the simplest ones like e.g. the harmonic oscillator, and becoming gradually more complicated (the hydrogen atom, approximation methods, etc.). The complementary sections each expand this basic knowledge, supplying a wide range of applications and related topics as well as detailed expositions of a large number of special problems and more advanced topics, integrated as an essential portion of the text.