Problems And Solutions In Quantum Mechanics
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| Author | : Kyriakos Tamvakis |
| Publisher | : Cambridge University Press |
| Total Pages | : 354 |
| Release | : 2005-08-11 |
| Genre | : Science |
| ISBN | : 9781139445979 |
This collection of solved problems corresponds to the standard topics covered in established undergraduate and graduate courses in Quantum Mechanics. Problems are also included on topics of interest which are often absent in the existing literature. Solutions are presented in considerable detail, to enable students to follow each step. The emphasis is on stressing the principles and methods used, allowing students to master new ways of thinking and problem-solving techniques. The problems themselves are longer than those usually encountered in textbooks and consist of a number of questions based around a central theme, highlighting properties and concepts of interest. For undergraduate and graduate students, as well as those involved in teaching Quantum Mechanics, the book can be used as a supplementary text or as an independent self-study tool.
| Author | : Gordon Leslie Squires |
| Publisher | : Cambridge University Press |
| Total Pages | : 317 |
| Release | : 1995-03-16 |
| Genre | : Science |
| ISBN | : 1139935828 |
Many students find quantum mechanics conceptually difficult when they first encounter the subject. In this book, the postulates and key applications of quantum mechanics are well illustrated by means of a carefully chosen set of problems, complete with detailed, step-by-step solutions. Beginning with a chapter on orders of magnitude, a variety of topics are then covered, including the mathematical foundations of quantum mechanics, Schrödinger's equation, angular momentum, the hydrogen atom, the harmonic oscillator, spin, time-independent and time-dependent perturbation theory, the variational method, multielectron atoms, transitions and scattering. Throughout, the physical interpretation or application of certain results is highlighted, thereby providing useful insights into a wide range of systems and phenomena. This approach will make the book invaluable to anyone taking an undergraduate course in quantum mechanics.
| Author | : Charles S. Johnson |
| Publisher | : Courier Corporation |
| Total Pages | : 750 |
| Release | : 2013-01-18 |
| Genre | : Science |
| ISBN | : 0486151530 |
Unusually varied problems, with detailed solutions, cover quantum mechanics, wave mechanics, angular momentum, molecular spectroscopy, scattering theory, more. 280 problems, plus 139 supplementary exercises.
| Author | : I. I. Gol’dman |
| Publisher | : Courier Corporation |
| Total Pages | : 292 |
| Release | : 2012-05-09 |
| Genre | : Science |
| ISBN | : 0486173216 |
A comprehensive collection of problems of varying degrees of difficulty in nonrelativistic quantum mechanics, with answers and completely worked-out solutions. An ideal adjunct to any textbook in quantum mechanics.
| Author | : Yung-Kuo Lim |
| Publisher | : World Scientific |
| Total Pages | : 766 |
| Release | : 1998 |
| Genre | : Science |
| ISBN | : 9789810231330 |
The material for these volumes has been selected from 20 years of examination questions for graduate students at the University of California at Berkeley, Columbia University, University of Chicago, MIT, SUNY at Buffalo, Princeton University and the University of ...
| Author | : Emilio d'Emilio |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 361 |
| Release | : 2012-02-28 |
| Genre | : Science |
| ISBN | : 8847023068 |
242 solved problems of several degrees of difficulty in nonrelativistic Quantum Mechanics, ranging from the themes of the crisis of classical physics, through the achievements in the framework of modern atomic physics, down to the still alive, more intriguing aspects connected e.g. with the EPR paradox, the Aharonov--Bohm effect, quantum teleportation.
| Author | : Alfio Borzi |
| Publisher | : SIAM |
| Total Pages | : 396 |
| Release | : 2017-07-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1611974836 |
This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. ??
| Author | : V.I. Kogan |
| Publisher | : Courier Corporation |
| Total Pages | : 386 |
| Release | : 2013-12-17 |
| Genre | : Science |
| ISBN | : 0486320650 |
Written by a pair of distinguished Soviet mathematicians, this compilation presents 160 lucidly expressed problems in nonrelativistic quantum mechanics plus completely worked-out solutions. Some were drawn from the authors' courses at the Moscow Institute of Engineering, but most were prepared especially for this book. A high-level supplement rather than a primary text, it constitutes a masterful complement to advanced undergraduate and graduate texts and courses in quantum mechanics. The mathematics employed in the proofs of the problems—asymptotic expansions of functions, Green's functions, use of different representation spaces, and simple limiting cases—are detailed and comprehensive. Virtually no space is devoted to the physical statements underlying the problems, since this is usually covered in books on quantum mechanics. Teachers and students will find this volume particularly valuable in terms of its advanced mathematics and detailed presentations, its coverage of scattering theory, and its helpful graphs and explanatory figures.
| Author | : F. Constantinescu |
| Publisher | : Elsevier |
| Total Pages | : 429 |
| Release | : 2013-10-22 |
| Genre | : Science |
| ISBN | : 1483292940 |
International Series in Natural Philosophy, Volume 30: Problems in Quantum Mechanics focuses on the processes, principles, reactions, and methodologies involved in quantum mechanics. The publication first elaborates on the mathematical formalism of quantum mechanics, simple quantum systems, and mean values and uncertainty relations. Discussions focus on mean values of dynamical variables, uncertainty relations, eigenfunctions and the energy spectrum, motion in a central field, matrix representation of vectors and operators, Hubert spaces, and operators in Hilbert space. The text then takes a look at mean values and uncertainty relations, semi-classical approximation, and pictures and representations. The book takes a look at orbital angular momentum and spin, systems of identical particles, and perturbation theory. Topics include variational method, stationary state perturbation theory, isotopic spin, second quantization, properties of angular momentum operators, and angular momentum and rotations of coordinate axes. The manuscript also ponders on functions used in quantum mechanics, relativistic quantum mechanics, and radiation theory. The publication is a dependable reference for researchers interested in quantum mechanics.
| Author | : David J. Griffiths |
| Publisher | : Cambridge University Press |
| Total Pages | : 512 |
| Release | : 2019-11-20 |
| Genre | : Science |
| ISBN | : 1108103146 |
Changes and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.
