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| Author | : Marvin Chester |
| Publisher | : Courier Corporation |
| Total Pages | : 338 |
| Release | : 2012-04-26 |
| Genre | : Science |
| ISBN | : 0486138208 |
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.
| Author | : Alessandro Teta |
| Publisher | : Springer |
| Total Pages | : 265 |
| Release | : 2018-04-17 |
| Genre | : Science |
| ISBN | : 3319778935 |
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.
| Author | : Philip L. Bowers |
| Publisher | : Cambridge University Press |
| Total Pages | : 585 |
| Release | : 2020-09-17 |
| Genre | : Science |
| ISBN | : 1108429769 |
A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.
| Author | : Daniel T. Gillespie |
| Publisher | : John Wiley & Sons |
| Total Pages | : 154 |
| Release | : 1974 |
| Genre | : Science |
| ISBN | : |
| Author | : Jonathan Dimock |
| Publisher | : Cambridge University Press |
| Total Pages | : 239 |
| Release | : 2011-02-03 |
| Genre | : Science |
| ISBN | : 1139497480 |
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.
| Author | : Carl S. Helrich |
| Publisher | : Springer Nature |
| Total Pages | : 246 |
| Release | : 2021-08-02 |
| Genre | : Science |
| ISBN | : 3030792684 |
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.
| Author | : Kris L. G. Heyde |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2019 |
| Genre | : Electronic books |
| ISBN | : 9780750321792 |
This book, the first of a two-volume set, provides a comprehensive introduction to quantum mechanics for advanced undergraduate and postgraduate students entering the field of nuclear structure studies via two-state systems: both polarized photons and spin-1/2 particles. This leads to the logic behind the physical structure and an axiomatic formulation using linear spaces and operators. The one-dimensional harmonic oscillator is used to illustrate the mechanics of quantized systems, reaching to time dependence and coherent states. Measurement theory is introduced. The transformation theory of space and time leads to wave functions. The role of group theory and rotations then leads to the quantization of angular momentum. Central force problems are handled algebraically. The development is completed with quantization of motion of a charged particle in a magnetic field. Part of IOP Series in Nuclear Spectroscopy and Nuclear Structure.
| Author | : Carlos Fiolhais |
| Publisher | : Springer |
| Total Pages | : 290 |
| Release | : 2008-01-11 |
| Genre | : Science |
| ISBN | : 3540370722 |
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.
| Author | : P. A. Cox |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 90 |
| Release | : 1996 |
| Genre | : Science |
| ISBN | : 9780198559160 |
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
| Author | : Albert T. Fromhold |
| Publisher | : Courier Corporation |
| Total Pages | : 450 |
| Release | : 2012-07-26 |
| Genre | : Science |
| ISBN | : 0486164691 |
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.
