ISBN: 0 471 96364 X Although the author claims to have written a `novel introduction' to the quantum theory of matter, this book is certainly just one of a wealth of books on that subject appearing on the market every year. What is really novel about the presentation is that the more `formal aspects' of quantum mechanics, especially a discussion of the Schrodinger equation, are relegated to an appendix, while in the text only specific solutions to that fundamental equation are discussed. On the other hand, the book certainly provides an extensive outline of various applications of quantum mechanics to atoms, molecules and solids. On the atomic level even the emission of light, spin and many electron atoms are treated; similarly on the molecular scale the most important aspects are presented. Almost one half of the book is devoted to the quantum theory of solids, and here the range of topics includes, of course, the band model and its various implications, but also surfaces and non-crystalline solids. Due to the aim of the book the author had to present various complex situations in an abbreviated form, thereby sometimes losing the rigour of the necessary proof of the statements. But, taken altogether, the book will provide the reader with an overall view, and sometimes an in-depth discussion, of the quantum world of atoms, molecules and solids. Somewhat distracting might be the large number of footnotes collected at the end of each chapter; of advantage, however, are the selections of problems there.
ISBN: 0 471 96364 X Although the author claims to have written a novel introduction' to the quantum theory of matter, this book is certainly just one of a wealth of books on that subject appearing on the market every year. What is really novel about the presentation is that the more formal aspects' of quantum mechanics, especially a discussion of the Schrodinger equation, are relegated to an appendix, while in the text only specific solutions to that fundamental equation are discussed. On the other hand, the book certainly provides an extensive outline of various applications of quantum mechanics to atoms, molecules and solids. On the atomic level even the emission of light, spin and many electron atoms are treated; similarly on the molecular scale the most important aspects are presented. Almost one half of the book is devoted to the quantum theory of solids, and here the range of topics includes, of course, the band model and its various implications, but also surfaces and non-crystalline solids. Due to the aim of the book the author had to present various complex situations in an abbreviated form, thereby sometimes losing the rigour of the necessary proof of the statements. But, taken altogether, the book will provide the reader with an overall view, and sometimes an in-depth discussion, of the quantum world of atoms, molecules and solids. Somewhat distracting might be the large number of footnotes collected at the end of each chapter; of advantage, however, are the selections of problems there.
The book is designed to serve as an `upper-level one-semester course in Quantum mechanics for students majoring in physics or related topics'. To that purpose the author has organised the contents into roughly six parts, giving first a historical introduction into quanta and matter waves, then the solution of the Schrödinger equations in one, and subsequently in three dimensions; in a fourth part spin and the concept of identical particles are explained, whilst in the next the approximation (perturbation) methods and their application to atomic systems and the creation and transfer of radiations. Finally there are two chapters on molecular and solid state physics. Each chapter is accompanied by a selection of appropriate problems. Appendix, index plus diskette are provided. As the author states, the topics and examples were taken from his other (successful) book, Introduction to Modern Physics . It appears to the reviewer that the present account may indeed serve as a first introduction into the elementary aspects of quantum mechanics, with particular emphasis on explaining the basic concepts (like spin, statistics, even the Einstein-Podolsky-Rosen paradox). Addressed are the slightly advanced students of science. The language is clear, the formal apparatus does not overwhelm the reader, and the figures have been carefully selected and drawn. We do recommend the book for the purpose envisaged. It raises the appetite for a more systematic and extended study of the subject.
The book is an introduction to quantum mechanics at a level suitable for the second year in a European university (junior or senior year in an American college). The matrix formulation of quantum mechanics is emphasized throughout, and the student is introduced to Dirac notation from the start. A number of major examples illustrate the workings of quantum mechanics. Several of these examples are taken from solid state physics, with the purpose of showing that quantum mechanics forms the common basis for understanding atoms, molecules and condensed matter. The book contains an introductory chapter which puts the concepts of quantum mechanics into a historical framework. The solid-state applications discussed in this text include the quantum Hall effect, spin waves, quantum wells and energy bands. Other examples feature the two-dimensional harmonic oscillator, coherent states, two-electron atoms, the ammonia molecule and the chemical bond. A large number of homework problems are included.
This is undoubtedly an ambitious book. It aims to provide a wide ranging, yet self-contained and pedagogical introduction to techniques of quantum many-body theory in condensed matter physics, without losing mathematical `rigor' (which I hope means rigour), and with an eye on physical insight, motivation and application. The authors certainly bring plenty of experience to the task, the book having grown out of their graduate lectures at the Niels Bohr Institute in Copenhagen over a five year period, with the feedback and refinement this presumably brings. The book is also of course ambitious in another sense, for it competes in the tight market of general graduate/advanced undergraduate texts on many-particle physics. Prospective punters will thus want reasons to prefer it to, or at least give it space beside, well established texts in the field. Subject-wise, the book is a good mix of the ancient and modern, the standard and less so. Obligatory chapters deal with the formal cornerstones of many-body theory, from second quantization, time-dependence in quantum mechanics and linear response theory, to Green's function and Feynman diagrams. Traditional topics are well covered, including two chapters on the electron gas, chapters on phonons and electron–phonon coupling, and a concise account of superconductivity (confined, no doubt judiciously, to the conventional BCS case). Less mandatory, albeit conceptually vital, subjects are also aired. These include a chapter on Fermi liquid theory, from both semi-classical and microscopic perspectives, and a freestanding account of one-dimensional electron gases and Luttinger liquids which, given the enormity of the topic, is about as concise as it could be without sacrificing clarity. Quite naturally, the authors' own interests also influence the choice of material covered. A persistent theme, which brings a healthy topicality to the book, is the area of transport in mesoscopic systems or nanostructures. Two chapters, some fifty pages of the book, are devoted to electron transport in mesoscopic systems; the one on interacting systems is preceded by a brief account of equation of motion techniques–a relative rarity in a general text, used here to provide background to subsequent discussion of the Coulomb blockade in quantum dots. So does it work, and will it find a niche beside other established, wide ranging texts? On the whole I think the answer has to be yes. To begin with, the book is well organised and user-friendly, which must surely appeal to students (and their mentors). The chapters are typically bite-sized and digestible. Each is accompanied by a summary/outlook, which in doing just that attempts to place the specific topic in a wider context, together with a set of problems that illustrate, and in many cases expand substantially on, the basic subject matter. A particularly healthy feature of the book is the extent to which the authors have sought where possible to include physical and/or material applications of basic theory, thereby enlivening old material and enhancing appreciation of the new. The first chapter on the electron gas, for example, introduces the reader to a range of material examples, including 2D heterostructures, carbon nanotubes and quantum dots. A chapter on the formalism of Green's functions takes time out to explain how the single-particle spectral function can be measured by tunnelling spectroscopy, while discussion of impurity scattering and conductivity is refreshed by consideration of weak localization in bulk and mesoscopic systems, and the phenomenon of universal conductance fluctuations. And so on: in a text that could readily descend to the purely formal, the authors have clearly taken seriously the task of incorporating relevant, topical applications of the underlying theory. In a book as wide ranging as this any reviewer is of course bound to perceive the occasional deficiency. I felt for example that some aspects of the discussion of conductance in quantum dots, notably the Coulomb blockade and the Kondo effect, were not quite up to scratch—a touch unbalanced in coverage perhaps (no serious mention of renormalization or scaling, even perturbative), with the odd conceptual error creeping in, and the Kondo effect appearing more mysterious than it really is, possibly in part because consideration of it appears before the chapter on Fermi liquid theory, in which the effect is firmly rooted. But let me not miss the bigger picture: I don't doubt this is a pretty impressive book overall, likely to have broad appeal to budding theorists and adventurous experimentalists, either as a course textbook or—for the slave to garret or lab—as a serious source for self-study. So make a space on your bookshelves.
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.
This second edition course text introduces the fundamental quantum physics of atoms and molecules. With revised and extended content, this book is the first volume in a series of three aiming to present a broad coverage of atomic, molecular, solid-state and statistical physics. Divided into three parts, the first provides a historical perspective leading to the contemporary view of atomic and molecular physics, outlining the principles of non-relativistic quantum mechanics. The second covers the physical description of atoms and their interaction with radiation, whilst the third deals with molecular physics. The book’s pedagogical features include conceptual layout sections that define the goals of each chapter, a simplified but rigorous mathematical apparatus, and a thorough discussion of approximations used to develop the adopted physical models. Key features • Fills a gap for a self-contained undergraduate textbook in atomic and molecular physics. • Is tailored for a one-semester course. • Focuses on a selected set of topics, whilst also providing substantial, in-depth coverage of the subject. • Emphasises phenomenology rather than mathematics/formalism. • Uses various pedagogical features, including end-of-chapter exercises with solutions.
This book provides a first course on quantum mechanics and describes simple applications to physical phenomena that are of immediate and everyday interest. The first five chapters introduce the fundamentals of quantum mechanics and are followed by a revision quiz with which readers may test their understanding. The remaining chapters describe applications, including the physics of lasers, molecular binding, simple properties of crystalline solids arising from their band structure, and the operation of junction transistors. This new edition (first edition entitled Simple Quantum Physics) has been expanded to include a chapter on the theory of spin and its application to magnetic resonance imaging, as well as a description of the WKB approximation and its application to alpha decay. Ideal either as a course text or a self-study text, the book contains nearly 100 exercises and hints to their solution.