Quantum mechanics forms the basis of modern physics. In a sense it is the parent theory about which we construct our view of the physical world. Briefly, quantum mechanics is the theory by which we describe the behaviors of subatomic and atomic particles, such as electrons, of which the macroscopic world is made. Although it is not necessary to treat macroscopic objects by use of quantum mechanics, the laws of quantum mechanics and their implications are completely consistent with Newton's Laws of Motion, which we know are applicable to most macroscopic objects. As we will see below, Newton's Laws of Motion are a special subset of quantum mechanics; quantum mechanics reduces to Newton's Laws at macroscopic dimensions. Before we begin our study of quantum mechanics, it is of interest to explain why quantum mechanics is of importance in the study of modern electrical engineering. Many new areas of electrical engineering are based on developments that can be understood only through the use of quantum mechanics. Among these are the broad areas of semiconductors and solid-state electronic devices, electro-optics and lasers, superconductors. It would be fair to say that in the study of each of the above areas some knowledge of quantum mechanics is essential. In this book, some basic concepts in quantum mechanics are presented that are necessary in the study of the above-mentioned disciplines. Introduction The concept most basic toward the understanding of quantum mechanics is the concept of measurement.
Quantum mechanics forms the basis of modern physics. In a sense it is the parent theory about which we construct our view of the physical world. Briefly, quantum mechanics is the theory by which we describe the behaviors of subatomic and atomic particles, such as electrons, of which the macroscopic world is made. Although it is not necessary to treat macroscopic objects by use of quantum mechanics, the laws of quantum mechanics and their implications are completely consistent with Newton's Laws of Motion, which we know are applicable to most macroscopic objects. As we will see below, Newton's Laws of Motion are a special subset of quantum mechanics; quantum mechanics reduces to Newton's Laws at macroscopic dimensions. Before we begin our study of quantum mechanics, it is of interest to explain why quantum mechanics is of importance in the study of modern electrical engineering. Many new areas of electrical engineering are based on developments that can be understood only through the use of quantum mechanics. Among these are the broad areas of semiconductors and solid-state electronic devices, electro-optics and lasers, superconductors. It would be fair to say that in the study of each of the above areas some knowledge of quantum mechanics is essential. In this book, some basic concepts in quantum mechanics are presented that are necessary in the study of the above-mentioned disciplines. Introduction The concept most basic toward the understanding of quantum mechanics is the concept of measurement.
Concepts of QUANTUM MECHANICS is one of the most fundamental and intellectually profound branches of modern physics. It provides the theoretical framework for understanding the behavior of matter and energy at atomic and subatomic scales and forms the basis for numerous advancements in science and technology, including semiconductor devices, lasers, nanotechnology, quantum computing, and quantum communication. Despite its abstract nature, concepts of QUANTUM MECHANICS remains indispensable for explaining physical phenomena that cannot be addressed by classical physics. This book, Concepts of QUANTUM MECHANICS, has been written with the primary objective of presenting the subject in a clear, logical, and student-friendly manner, while maintaining the necessary mathematical rigor and conceptual depth. The text is designed to bridge the gap between classical physics and quantum theory, guiding readers through the evolution of ideas that led to the development of concepts of QUANTUM MECHANICS and its modern interpretations. The book begins with an introduction to the historical background and foundational principles of quantum theory, highlighting the limitations of classical mechanics and the emergence of quantum concepts such as wave–particle duality and quantization. It then systematically develops the mathematical framework of concepts of QUANTUM MECHANICS, including the Schrödinger equation, wave functions, operators, eigenvalue problems, and measurement theory. Key quantum systems and applications are discussed with careful attention to physical interpretation and problem-solving strategies. Special emphasis has been placed on clarity of explanation, step-by-step derivations, and the use of illustrative examples to help students develop a strong conceptual understanding. Each chapter is organized in a structured manner to support effective learning and includes solved problems and exercises that reinforce theoretical concepts and analytical skills. This book is intended for undergraduate and postgraduate students of physics, engineering, and allied disciplines, and it will also serve as a useful reference for educators and researchers. The content has been aligned with standard university curricula and is suitable for both classroom instruction and self-study. It is the author’s sincere hope that this book will make the study of concepts of QUANTUM MECHANICS more accessible and intellectually rewarding, encouraging readers to develop a deeper appreciation for the quantum nature of the physical world. Constructive feedback and suggestions from readers are welcome and will be valuable for improving future editions of this book.
Quantum mechanics has evolved from a subject of study in pure physics to one with a wide range of applications in many diverse fields. The basic concepts of quantum mechanics are explained in this book in a concise and easy-to-read manner, leading toward applications in solid-state electronics and optics. Following a logical sequence, the book focuses on key ideas and is conceptually and mathematically self-contained. The fundamental principles of quantum mechanics are illustrated by showing their application to systems such as the hydrogen atom, multi-electron ions and atoms, the formation of simple organic molecules and crystalline solids of practical importance. It leads on from these basic concepts to discuss some of the most significant applications in semiconductor electronics and optics. Containing many homework problems, the book is suitable for senior-level undergraduate and graduate-level students in electrical engineering, material sciences, applied physics and chemistry.
In order to understand the properties of nanoparticles, it is very much required to have knowledge of quantum mechanics. This chapter introduces the basic concept of quantum mechanics. This chapter starts with quantum theory for radiation. It has been observed that the phenomena related to intense radiation like interference, diffraction, etc., could be well described with the help of Maxwell’s wave theory. But in the case of weakly intensed light, wave theory cannot be used to predict the related experimental phenomena. In this regard, quantum theory has been developed considering the particle nature of radiation. This evaluation of quantum theory has been briefly discussed in this chapter. In the world of matter, Newton’s law is successfully used to predict the position, velocity, acceleration, etc., of any macroscopic particle. But this couldn’t be used for particles of tiny dimensions like electrons, neutrons, etc. The difference is that for macroscopic particles we can measure their position and velocity with some accuracy, but for tiny particles, called quantum particles, it is difficult to determine their position and velocity at any given point in time. Wave theory has been presented by Schrödinger to predict features of quantum particles. We have given a few examples where Schrödinger’s wave theory can successfully explain quantum particles’ behavior under static as well as dynamic conditions. But in a real system, we cannot use this theory. We have discussed a few approximation methods to be used with Schrödinger’s wave theory in the case of a real system.
Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, Fourth Edition provides a complete course in quantum mechanics for students of semiconductor device physics and electrical engineering. It provides the necessary background to quantum theory for those starting work on micro- and nanoelectronic structures and is particularly useful for those beginning work with modern semiconductors devices, lasers and qubits. This book was developed from a course the author has taught for many years with a style and order of presentation of material specifically designed for this audience. It introduces the main concepts of quantum mechanics which are important in everyday solid-state physics and electronics. Each topic includes examples which have been carefully chosen to draw upon relevant experimental research. It also includes problems with solutions to test understanding of theory. Fully updated throughout, the fourth edition contains the latest developments, experiments, and device concepts. It contains completely new material on quantum computing and information processing, including qubit implementations and quantum sensing. Key features: Fully updated throughout with the latest research from the field Presents a different view of quantum mechanics from an engineering perspective Takes a modern view of the understanding of quantum mechanics as it affects real world technologies, including nanotechnology and quantum information processing
Quantum Mechanics is one of the most fundamental and intellectually profound branches of modern physics. It provides the theoretical framework for understanding the behavior of matter and energy at atomic and subatomic scales and forms the basis for numerous advancements in science and technology, including semiconductor devices, lasers, nanotechnology, quantum computing, and quantum communication. Despite its abstract nature, quantum mechanics remains indispensable for explaining physical phenomena that cannot be addressed by classical physics. This book, Quantum Mechanics, has been written with the primary objective of presenting the subject in a clear, logical, and student-friendly manner, while maintaining the necessary mathematical rigor and conceptual depth. The text is designed to bridge the gap between classical physics and quantum theory, guiding readers through the evolution of ideas that led to the development of quantum mechanics and its modern interpretations. The book begins with an introduction to the historical background and foundational principles of quantum theory, highlighting the limitations of classical mechanics and the emergence of quantum concepts such as wave–particle duality and quantization. It then systematically develops the mathematical framework of quantum mechanics, including the Schrödinger equation, wave functions, operators, eigenvalue problems, and measurement theory. Key quantum systems and applications are discussed with careful attention to physical interpretation and problem-solving strategies. Special emphasis has been placed on clarity of explanation, step-by-step derivations, and the use of illustrative examples to help students develop a strong conceptual understanding. Each chapter is organized in a structured manner to support effective learning and includes solved problems and exercises that reinforce theoretical concepts and analytical skills. This book is intended for undergraduate and postgraduate students of physics, engineering, and allied disciplines, and it will also serve as a useful reference for educators and researchers. The content has been aligned with standard university curricula and is suitable for both classroom instruction and self-study. It is the author’s sincere hope that this book will make the study of quantum mechanics more accessible and intellectually rewarding, encouraging readers to develop a deeper appreciation for the quantum nature of the physical world. Constructive feedback and suggestions from readers are welcome and will be valuable for improving future editions of this book.
Quantum mechanics was developed as a response to the inability of the classical theories of mechanics and electromagnetism to provide a satisfactory explanation of some of the properties of electromagnetic radiation and of atomic structure. As a result, a theory has emerged whose basic principles can be used to explain not only the structure and properties of atoms, molecules and solids, but also those of nuclei and of “elementary” particles such as the proton and neutron. Although there are still many features of the physics of such systems that are not fully understood, there are presently no indications that the fundamental ideas of quantum mechanics are incorrect. In order to achieve this success, quantum mechanics has been built on a foundation that contains a number of concepts that are fundamentally different from those of classical physics and which have radically altered our view of the way the physical universe operates. This book aims to elucidate and discuss the conceptual basis of the subject as well as explaining its success in describing the behaviour of atomic and subatomic systems.