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Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 edition.
A Mathematical Primer on Quantum Mechanics by Alessandro Teta Pdf
This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrödinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.
Quantum Mechanics and Quantum Field Theory by Jonathan Dimock Pdf
Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.
A Primer on Quantum Fluids by Carlo F. Barenghi,Nick G. Parker Pdf
The aim of this primer is to cover the essential theoretical information, quickly and concisely, in order to enable senior undergraduate and beginning graduate students to tackle projects in topical research areas of quantum fluids, for example, solitons, vortices and collective modes. The selection of the material, both regarding the content and level of presentation, draws on the authors analysis of the success of relevant research projects with newcomers to the field, as well as of the students feedback from many taught and self-study courses on the subject matter. Starting with a brief historical overview, this text covers particle statistics, weakly interacting condensates and their dynamics and finally superfluid helium and quantum turbulence. At the end of each chapter (apart from the first) there are some exercises. Detailed solutions can be made available to instructors upon request to the authors.
The Quantum Theory—Origins and Ideas by Carl S. Helrich Pdf
This book offers a fresh perspective on some of the central experimental and theoretical works that laid the foundations for today's quantum mechanics: It traces the theoretical and mathematical development of the hypotheses that put forward to explain puzzling experimental results; it also examines their interconnections and how they together evolved into modern quantum theory. Particular attention is paid to J.J. Thomson's atomic modeling and experiments at the Cavendish Laboratory, Max Planck's struggle to explain the experimental results of Heinrich Rubens and Ferdinand Kurlbaum, as well as the path leading from Louis de Broglie’s ideas to the wave theory of Erwin Schrödinger. Combining his experience in teaching quantum mechanics with his interest in the historical roots of the subject, the author has created a valuable resource for understanding quantum physics through its history, and a book that is appreciated both by working physicists and historians.
A primer on the conceptual foundations of quantum physics for all. A course on topics that you won't find elsewhere, explained at introductory level. It is designed to be a comprehensive A-Z guide that will save you a ton of time in searching elsewhere trying to piece all the different information together.
Quantum Mechanics Nuclear Structure Vo by Kris Heyde,John Wood Pdf
This book offers a detailed introduction into the field of quantum mechanics applied to nuclear structure, and is intended for as a primer for nuclear physics graduate students and postgraduate students seeking a solid foundation in the subject.
Introduction to Quantum Theory and Atomic Structure by P. A. Cox Pdf
All chemistry students need a basic understanding of quantum theory and its applications in atomic and molecular structure and spectroscopy. This book provides a gentle introduction to the subject with the required background in physics and mathematics kept to a minimum. It develops the basic concepts needed as background. The emphasis throughout is on the physical concepts and their application in chemistry, especially to atoms and to the periodic table of elements
A Primer in Density Functional Theory by Carlos Fiolhais,Fernando Nogueira,Miguel A.L. Marques Pdf
Density functional theory (DFT) is by now a well-established method for tackling the quantum mechanics of many-body systems. Originally applied to compute properties of atoms and simple molecules, DFT has quickly become a work horse for more complex applications in the chemical and materials sciences. The present set of lectures, spanning the whole range from basic principles to relativistic and time-dependent extensions of the theory, is the ideal introduction for graduate students or nonspecialist researchers wishing to familiarize themselves with both the basic and most advanced techniques in this field.
Quantum Mechanics and Quantum Field Theory by Jonathan Dimock Pdf
"Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding"--
This book provides a comprehensive account of basic concepts of quantum mechanics in a coherent manner. The book is self-contained and not only covers basic concepts in quantum mechanics but also provides a basis for applications in atomic and laser physics, nuclear and particle physics, and condensed matter physics. It also covers relativistic quantum mechanics, in particular the Dirac equation and its applications.