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Advanced Visual Quantum Mechanics

Author: Bernd Thaller
Publisher: Springer Science & Business Media
ISBN: 9780387271279
Size: 57.89 MB
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Visual Quantum Mechanics is a systematic effort to investigate and to teach quantum mechanics with the aid of computer-generated animations. Although it is self-contained, this book is part of a two-volume set on Visual Quantum Mechanics. The first book appeared in 2000, and earned the European Academic Software Award in 2001 for oustanding innovation in its field. While topics in book one mainly concerned quantum mechanics in one- and two-dimensions, book two sets out to present three-dimensional systems, the hydrogen atom, particles with spin, and relativistic particles. Together the two volumes constitute a complete course in quantum mechanics that places an emphasis on ideas and concepts, with a fair to moderate amount of mathematical rigor.

Advanced Visual Quantum Mechanics

Author: Robert B. Griffiths
Publisher:
ISBN: 9781681179810
Size: 64.19 MB
Format: PDF, ePub
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Quantum mechanics is an imperative academic achievement of the 20th century. It is one of the more complicated fields in physics that has exaggerated our understanding of nano-meter length scale systems vital for chemistry, materials, optics, and electronics. Quantum mechanics has played an important role in photonics, quantum electronics, and micro-electronics. But many more emerging technologies require the understanding of quantum mechanics; and hence, it is important that scientists and engineers understand quantum mechanics better. In the strange world of quantum mechanics the application of visualization techniques is largely pleasing, for it allows us to portray phenomena that cannot be seen by any other means. Visual Quantum Mechanics relies a great deal on visualization as a tool for mediating details knowledge. Advanced Visual Quantum Mechanics is intended to explain the basic concepts and phenomena of quantum mechanics by means of visualisation. With an introduction to quantum information theory, this book integrates selected topics from atomic physics - spherical symmetry, the hydrogen atom, and particles with spin. There have been tremendous strides in the field of quantum information, this book introduces relativistic quantum theory, emphasizing its important applications in condensed matter physics. It explores relativistic quantum mechanics and the strange behavior of Dirac equation solutions. The book places an emphasis on ideas and concepts, with a fair to moderate amount of mathematical thoroughness. This book will serve as valuable guide to instruct quantum mechanics to graduate students, engineers, as well as for researchers and scientists.

Visual Quantum Mechanics

Author: Bernd Thaller
Publisher: Springer Science & Business Media
ISBN: 0387989293
Size: 35.80 MB
Format: PDF, ePub
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"Visual Quantum Mechanics" uses the computer-generated animations found on the accompanying material on Springer Extras to introduce, motivate, and illustrate the concepts explained in the book. While there are other books on the market that use Mathematica or Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner. There is no special emphasis on computational physics or requirement that the reader know a symbolic computation package. Despite the presentation of rather advanced topics, the book requires only calculus, making complicated results more comprehensible via visualization. The material on Springer Extras provides easy access to more than 300 digital movies, animated illustrations, and interactive pictures. This book along with its extra online materials forms a complete introductory course on spinless particles in one and two dimensions.

Mathematical Methods In Quantum Mechanics

Author: Gerald Teschl
Publisher: American Mathematical Soc.
ISBN: 1470417049
Size: 25.52 MB
Format: PDF, Docs
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Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrödinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrödinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. This new edition has additions and improvements throughout the book to make the presentation more student friendly.

Quantum Dynamic Imaging

Author: Andre D Bandrauk
Publisher: Springer Science & Business Media
ISBN: 9781441994912
Size: 28.14 MB
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Studying and using light or "photons" to image and then to control and transmit molecular information is among the most challenging and significant research fields to emerge in recent years. One of the fastest growing areas involves research in the temporal imaging of quantum phenomena, ranging from molecular dynamics in the femto (10-15s) time regime for atomic motion to the atto (10-18s) time scale of electron motion. In fact, the attosecond "revolution" is now recognized as one of the most important recent breakthroughs and innovations in the science of the 21st century. A major participant in the development of ultrafast femto and attosecond temporal imaging of molecular quantum phenomena has been theory and numerical simulation of the nonlinear, non-perturbative response of atoms and molecules to ultrashort laser pulses. Therefore, imaging quantum dynamics is a new frontier of science requiring advanced mathematical approaches for analyzing and solving spatial and temporal multidimensional partial differential equations such as Time-Dependent Schroedinger Equations (TDSE) and Time-Dependent Dirac equations (TDDEs for relativistic phenomena). These equations are also coupled to the photons in Maxwell's equations for collective propagation effects. Inversion of the experimental imaging data of quantum dynamics presents new mathematical challenges in the imaging of quantum wave coherences on subatomic (subnanometer) spatial dimensions and multiple timescales from atto to femto and even nanoseconds. In Quantum Dynamic Imaging: Theoretical and Numerical Methods, leading researchers discuss these exciting state-of-the-art developments and their implications for R&D in view of the promise of quantum dynamic imaging science as the essential tool for controlling matter at the molecular level.

Quantum Methods With Mathematica

Author: James F. Feagin
Publisher: Springer Science & Business Media
ISBN: 9780387953656
Size: 35.64 MB
Format: PDF
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Feagin's book was the first publication dealing with Quantum Mechanics using Mathematica, the popular software distributed by Wolfram Research, and designed to facilitate scientists and engineers to do difficult scientific computations more quickly and more easily. Quantum Methods with Mathematica, the first book of ist kind, has achieved worldwide success and critical acclaim.

Handbook On Information Technologies For Education And Training

Author: Heimo H. Adelsberger
Publisher: Springer Science & Business Media
ISBN: 9783540678038
Size: 69.62 MB
Format: PDF, Docs
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Information Technologies for Education and Training have gained increasing atten tion and significance in the past decade. Accordingly, the availability of an enormous amount of information sources through the Internet, the technological progress in the ICT sector, and an increasing flexibility in organizations and enterprises have accelerated the information and knowledge growth in our society. Knowledge and Lifelong Learning have become critical success factors for the long-term positioning on the global market. Recent mergers of globally distributed enterprises show that knowledge has to be available and transferable within a short time frame. Global, flexible, and service-oriented organizations need highly qualified employees. These trends also show the rapidly growing significance of new aspects of ba sie and further education. Traditional education, ending with a graduation, will be complemented by a lifelong leaming process. Every individual is required to contin uously leam new and changing knowledge. Consequently, the support of leaming processes through innovative technologies becomes an elementary component of every educationallevel. The Handbook is a comprehensive guide for researchers and practitioners work ing with Educational Technologies. lts overall goal is to enable the reader to gain a deep understanding of past, current, and future research and applications in the field of Educational Technologies. It will provide a reference source for both practitioners and researchers in the enterprise and educational sector. From a research perspective, the reader will gain an in-depth understanding of complex theories, strategies, concepts, and methods of Educational Technologies.

Elements Of Non Relativistic Quantum Mechanics

Author: Luis Sobrino
Publisher: World Scientific
ISBN: 9789810223861
Size: 26.70 MB
Format: PDF, ePub, Mobi
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This text presents the structure of quantum mechanics, and the "elements" needed to understand the subject. It is written at a level which is intermediate between the standard graduate textbooks, which it intends to supplement, and the more advanced mathem