Fundamentals of Probability and Statistics (3版)

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簡介 ‧Clear and easy to read: 　─ plain English language 　─ enough mathematics details 　─ helpful graphics plots ‧ Abundant in examples and exercises. ‧ Review problems facilitate the preparation of tests. ‧ Matlab implementation elucidates fundamental concepts. 目錄 CHAPTER 1 EXPERIMENTS, EVENTS, AND THEIR PROBABILITIES CHAPTER 2 RANDOM VARIABLES AND THEIR DISTRIBUTIONS CHAPTER 3 CONTINUOUS RANDOM VARIABLES CHAPTER 4 MULTIPLE RANDOM VARIABLES CHAPTER 5 SUM OF RANDOM VARIABLES CHAPTER 6 THE SAMPLE MEAN AND LIMIT THEOREMS CHAPTER 7 ESTIMATION CHAPTER 8 HYPOTHESIS TESTING CHAPTER 9 REGRESSION Appendix A Numerical Tables Appendix B Matlab Functions and Operations Used in This Book References Answers to Selected Odd-Numbered Exercises and Review Problems Index

Quantum Theory as an Emergent Phenomenon (1版)

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Although it is our most successful physical theory, quantum mechanics raises conceptual issues that have perplexed physicists and philosophers of science for decades. This book develops a new approach based on the proposal that quantum theory is not a complete, final theory, but, in fact, an emergent phenomenon arising from a more profound level of dynamics.

Fractional Statistics and Quantum Theory (2版)

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"As an important feature, this book contains both mathematics and physics, properly balanced for a student interested in studying theoretical physics. There are many exercises to be worked out. I am pleased to highly recommend the book for any one interested in the anyons." Professor Mukunda P Das The Australian National University Reviews of the First Edition: "This lucid monograph is highly recommended for those who want to do further research in the area as well as for those who are merely curious about this unusual aspect of quantum many-body physics." Current Science "The overall style is clear and pedagogical, with emphasis on symmetry and simplicity ... I recommend this book for newcomers, graduate students and teachers who are interested in having an introduction to the topics of the book's title." Mathematical Reviews This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics. Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas. The second part of the book includes a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here include Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect. Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities.

PRINCIPLES OF QUANTUM MECHANICS (2版)

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【原文書】 書名：Principles of Quantum Mechanics 2/e 作者:R. Shankar 出版社：Kluwer Academic Plenum Publishers ISBN：9780306447907 About this Textbook Reviews from the First Edition: "An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist) "No matter how gently one introduces students to the concept of Dirac’s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of." (Physics Bulletin) Reviews of the Second Edition: "This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details---all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. … It would be particularly useful to beginning students and those in allied areas like quantum chemistry." (Mathematical Reviews) R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

Consistent Quantum Theory

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This volume elucidates the consistent quantum theory approach to quantum mechanics at a level accessible to university students in physics, chemistry, mathematics, and computer science, making this an ideal supplement to standard textbooks. Griffiths provides a clear explanation of points not yet adequately treated in traditional texts and which students find confusing, as do their teachers. The book will also be of interest to physicists and philosophers working on the foundations of quantum mechanics.

Quantum Physics (1版)

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Quantum physics allows us to understand the nature of the physical phenomena which govern the behavior of solids, semi-conductors, lasers, atoms, nuclei, subnuclear particles and light. In Quantum Physics, Le Bellac provides a thoroughly modern approach to this fundamental theory. Throughout the book, Le Bellac teaches the fundamentals of quantum physics using an original approach which relies primarily on an algebraic treatment and on the systematic use of symmetry principles. In addition to the standard topics such as one-dimensional potentials, angular momentum and scattering theory, the reader is introduced to more recent developments at an early stage. These include a detailed account of entangled states and their applications, the optical Bloch equations, the theory of laser cooling and of magneto-optical traps, vacuum Rabi oscillations and an introduction to open quantum systems. This is a textbook for a modern course on quantum physics, written for advanced undergraduate and graduate students.

Quantum Physics and Modern Applications

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This book is written with the view of providing learners a fast track into the modern applications of quantum physics. It is designed as a book of Problems and Solutions, consisting of more than 200 exercises with explicitly worked out solutions. Focusing on modern research topics, the problems are designed to suit recent developments such as graphene, topological materials, spintronics, and quantum computation and information (QCI). Categorized into eight chapters, the book first introduces QM for undergraduates with an emphasis on the Dirac formalism and its representation in the form of matrices and functions. Chapter 2 is dedicated to spin physics, where the spinor formalism is increasingly relevant to research on spintronics, graphene, topological systems, Dirac, Weyl, and all branches of quantum information sciences. Chapter 3 deals with second quantization and its applications in nanoscience and condensed matter physics. Building on the foundations of the previous two chapters, Chapter 4 expounds on the non-equilibrium Green's Function (NEGF) — a modern topic with problems designed to suit applications in nanoscale electronic and spintronics systems. Chapter 5 covers gauge fields and topology, with a modern emphasis on applications in new materials such as graphene and topological systems. Chapter 6 comprises numerous advanced sub-topics in condensed matter physics as well as conventional topics such as band structures and entanglement entropy. Chapter 7 extends to cross-disciplinary and miscellaneous physics, where the topics are not necessarily quantum by nature, but deal with issues that have inspired the development of quantum mechanics and quantum fields. Lastly, the book caters to quantum computation with a preamble on the QM foundations of spin, projection, measurement and density matrices which underpin applications in quantum gates, quantum teleportation and entanglement. Readers can expect a handy and effective guide in mastering problem solving techniques in frontier applications of quantum physics.