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This book highlights cutting-edge topics in contemporary physics, discussing exciting advances and new forms of thinking in evolving fields with emphases both on natural phenomena and applications to modern engineering. It provides material for thought and practice in nanophysics, plasma physics, and electrodynamics. Nanophysics and plasmas are synergic physical areas where the whole is more than the sum of the parts (quantum, atomic and molecular, electrodynamics, photonics, condensed matter, thermodynamics, transport phenomena). The authors emphasize both fundamentals and more complex concepts, making the contents accessible as well challenging. Nanoscale properties and physical phenomena are explained under the umbrella of quantum physics. Advances made in the physical knowledge of the nanoworld, and its metrology are addressed, along with experimental achievements which have furthered studies of extreme weak forces present at nano- or sub-micron scales. The book does not focus in detail on the diversity of applications in nanotechnology and instrumentation, considering that the reader already has basic prior knowledge on that. It also covers an introduction to plasma universe phenomenology, the basics of advanced mathematics applied to the electromagnetic field, longitudinal forces in the vacuum, concepts of helicity and topological torsion, SU(2) representation of Maxwell equations, 2D representation of the electromagnetic field, the use of the fractional derivative, and ergontropic dynamics. The chapters include theory, applications, bibliographic references, and solved exercises. The synergies of the book’s topics demonstrate their potential in critical issues, such as relieving humans from barriers imposed by energetic and entropic dependencies and penetrating the realm of weak forces at the nanoscale. The book will boost both post-graduate students and mature scientists to implement new scientific and technological projects.
Our understanding of the physical world was revolutionized in the twentieth century — the era of “modern physics”. Two books by the second author entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations, aimed at the very best students, present the foundations and frontiers of today's physics. Many problems are included in these texts. A previous book by the current authors provides solutions to the over 175 problems in the first volume.A third volume Topics in Modern Physics: Theoretical Foundations has recently appeared, which covers several subjects omitted in the essentially linear progression in the previous two. This book has three parts: part 1 is on quantum mechanics, part 2 is on applications of quantum mechanics, and part 3 covers some selected topics in relativistic quantum field theory. Parts 1 and 2 follow naturally from the initial volume. The present book provides solutions to the over 135 problems in this third volume.The three volumes in this series, together with the solutions manuals, provide a clear, logical, self-contained, and comprehensive base from which students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.
While the two previous books entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations exposed the reader to the foundations and frontiers of today's physics, the goal of this third volume is to cover in some detail several topics omitted in the essentially linear progression of the first two.This book is divided into three parts. Part 1 is on quantum mechanics. Analytic solutions to the Schrödinger equation are developed for some basic systems. The analysis is then formalized, concluding with a set of postulates for the theory. Part 2 is on applications of quantum mechanics: approximation methods for bound states, scattering theory, time-dependent perturbation theory, and electromagnetic radiation and quantum electrodynamics. Part 3 covers some selected topics in relativistic quantum field theory: discrete symmetries, the Heisenberg picture, and the Feynman rules for quantum chromodynamics.The three volumes in this series taken together provide a clear, logical, self-contained, and comprehensive base from which the very best students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.
For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing aspects essential to an understanding of solid-state theory. Numerous problems (and selected answers), projects, exercises.
Our understanding of the physical world was revolutionized in the twentieth century — the era of “modern physics”. This book, aimed at the very best students, extends the coverage of the theoretical groundwork of today's physics presented in the previous volume: Introduction to Modern Physics: Theoretical Foundations (Vol. I). Typically, students have to wade through several courses to see many of these topics. The goal is to give them some idea of where they are going, and how things fit together, as they go along.The present book focuses on the following topics: reformulation of quantum mechanics, angular momentum, scattering theory, lagrangian field theory, symmetries, Feynman rules, quantum electrodynamics, including higher-order contributions, path integrals, and canonical transformations for quantum systems. Many problems are included that enhance and extend the coverage. The book assumes a mastery of the material in Vol. I, and the continued development of mathematical skills, including multivariable calculus and linear algebra. Several appendices provide important details, and any additional required mathematics. The reader should then find the text, together with the appendices and problems, to be self-contained. The aim is to cover the framework of modern theoretical physics in sufficient depth that things “make sense” to students, and, when finished, the reader should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.
With more than 100 years of combined teaching experience and PhDs in particle, nuclear, and condensed-matter physics, these three authors could hardly be better qualified to write this introduction to modern physics. They have combined their award-winning teaching skills with their experience writing best-selling textbooks to produce a readable and comprehensive account of the physics that has developed over the last hundred years and led to today's ubiquitous technology. Assuming the knowledge of a typical freshman course in classical physics, they lead the reader through relativity, quantum mechanics, and the most important applications of both of these fascinating theories.
If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.
Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.
The second edition of Modern Physics for Scientists and Engineers is intended for a first course in modern physics. Beginning with a brief and focused account of the historical events leading to the formulation of modern quantum theory, later chapters delve into the underlying physics. Streamlined content, chapters on semiconductors, Dirac equation and quantum field theory, as well as a robust pedagogy and ancillary package, including an accompanying website with computer applets, assist students in learning the essential material. The applets provide a realistic description of the energy levels and wave functions of electrons in atoms and crystals. The Hartree-Fock and ABINIT applets are valuable tools for studying the properties of atoms and semiconductors. - Develops modern quantum mechanical ideas systematically and uses these ideas consistently throughout the book - Carefully considers fundamental subjects such as transition probabilities, crystal structure, reciprocal lattices, and Bloch theorem which are fundamental to any treatment of lasers and semiconductor devices - Clarifies each important concept through the use of a simple example and often an illustration - Features expanded exercises and problems at the end of each chapter - Offers multiple appendices to provide quick-reference for students