A concise, lucid development of the fundamental structure of quantum mechanics from a thoroughly modern perspective. Focusing on physical and mathematical understanding, with over 60 problems, this compact introduction is invaluable for students and researchers in physics and other fields where quantum mechanics plays an important role.
A complete overview of quantum mechanics, covering essential concepts and results, theoretical foundations, and applications. This undergraduate textbook offers a comprehensive overview of quantum mechanics, beginning with essential concepts and results, proceeding through the theoretical foundations that provide the field’s conceptual framework, and concluding with the tools and applications students will need for advanced studies and for research. Drawn from lectures created for MIT undergraduates and for the popular MITx online course, “Mastering Quantum Mechanics,” the text presents the material in a modern and approachable manner while still including the traditional topics necessary for a well-rounded understanding of the subject. As the book progresses, the treatment gradually increases in difficulty, matching students’ increasingly sophisticated understanding of the material. • Part 1 covers states and probability amplitudes, the Schrödinger equation, energy eigenstates of particles in potentials, the hydrogen atom, and spin one-half particles • Part 2 covers mathematical tools, the pictures of quantum mechanics and the axioms of quantum mechanics, entanglement and tensor products, angular momentum, and identical particles. • Part 3 introduces tools and techniques that help students master the theoretical concepts with a focus on approximation methods. • 236 exercises and 286 end-of-chapter problems • 248 figures
Der Autor dieses Lehrbuchs ist seit über 25 Jahren Dozent für Quantenmechanik in den Fachrichtungen Elektrotechnik und Informatik. Das Fachbuch ist wissenschaftlich fundiert und gut geschrieben, überzeugt durch eine ausgewogene Darstellung notwendiger formaler Mathematik und Text. Die Einführung fasst die Grundkonzepte der klassischen Physik zusammen und stellt einiger ihrer Versäumnisse heraus, die sich aus Phänomenen in Verbindung mit der Lichttechnik ergeben. Diese werden in den darauffolgenden drei Kapiteln ausführlich analysiert. Kapitel 5 geht über das Dualitätsprinzip hinaus und erläutert die Partikelkonzepte der Quantenmechanik sowie deren Folgen für die Elektrotechnik. In den Kapiteln 6 bis 8 werden die mathematischen Grundkonstruktionen beschrieben, mit denen sich der Zustand von Partikeln und deren Eigenschaften ableiten und vorhersagen lassen. Die beiden weiteren Kapitel zeigen zwei Beispiele hierfür mit Anwendungen von LEDs, Infrarotdetektoren, Quantenkaskadenlasern, Zener-Dioden und Flash-Speichern. In den letzten Kapiteln werden die Folgen der Quantenmechanik für die chemischen Eigenschaften von Atomen und anderen, aus vielen Elektronen bestehenden Systemen erörtert, abgerundet durch einen kurzen Einblick in die möglichen Hardwarekomponenten für die Quanteninformationsverarbeitung. Zu den vielfältigen didaktischen Merkmalen gehören auch Lernziele, Kapitelzusammenfassungen, Fragen zur Selbstüberprüfung sowie Problemlösungen. In den beiden Anhängen sind die notwendigen Kenntnisse der klassischen Physik und Mathematik zusammengefasst.
This textbook on quantum mechanics has been designed for use in two-semester undergraduate courses. It describes the basic concepts of quantum mechanics, explains the use of the mathematical formalism and provides illustrative examples of both concepts and methods. Although the aim is to enable students to master the use of quantum mechanics as a tool, the author also discusses the meaning of quantum concepts. To this end the book contains a variety of relevant examples, worked out in considerable detail, as well as a substantial number of pertinent problems and exercises. The latter will be extremely helpful, if not essential, for gaining a deep understanding and command of the subject. This book is based on the author's thirty years experience of teaching the subject.
The classic textbook on quantum mechanics from Nobel Prize–winning physicist P. J. E. Peebles This book explains the often counterintuitive physics of quantum mechanics, unlocking this key area of physics for students by enabling them to work through detailed applications of general concepts and ideas. P. J. E. Peebles states general principles first in terms of wave mechanics and then in the standard abstract linear space formalism. He offers a detailed discussion of measurement theory—an essential feature of quantum mechanics—and emphasizes the art of numerical estimates. Along the way, Peebles provides a wealth of physical examples together with numerous problems, some easy, some challenging, but all of them selected because they are physically interesting. Quantum Mechanics is an essential resource for advanced undergraduates and beginning graduate students in physics.
Explore the relationship between quantum mechanics and information-age applications This volume takes an altogether unique approach to quantum mechanics. Providing an in-depth exposition of quantum mechanics fundamentals, it shows how these concepts are applied to most of today's information technologies, whether they are electronic devices or materials. No other text makes this critical, essential leap from theory to real-world applications. The book's lively discussion of the mathematics involved fits right in with contemporary multidisciplinary trends in education: Once the basic formulation has been derived in a given chapter, the connection to important technological problems is summarily described. A book for the information age, Quantum Mechanics: Fundamentals and Applications to Technology promises to become a standard in departments of electrical engineering, applied physics, and materials science, as well as physics. It is an excellent text for senior undergraduate and graduate students, and a helpful reference for practicing scientists, engineers, and chemists in the semiconductor and electronic industries.
The Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics. The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics. The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.