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DescriptionContentsResourcesCoursesAbout the Authors Quantum Mechanics in Nanoscience and Engineering covers both elementary and advanced quantum mechanics within a coherent and self-contained framework. Undergraduate students of physics, chemistry and engineering will find comprehensive coverage of their introductory quantum mechanics courses, and graduate students will gain an understanding of additional tools and concepts necessary to describe real world phenomena. Each topic presented is first motivated by an experimental technique, phenomenon or concept derived directly from the realm of nanoscience and technology. The machinery of quantum mechanics is described and reinforced through the perspective of nanoscale phenomena, and in this manner practical and fundamental questions are raised and answered. The main text remains fluent and accessible by leaving technical details and mathematical proofs to guided exercises. Introductory readers may overlook these exercises, while rigorous students can benefit from reading the guidance or solving the exercises in full to strengthen and consolidate their understanding of the material. Bridges a gap between “pure states” as discussed in elementary quantum mechanics and macroscopic, many-body phenomena related to real world problems Appeals to a broad audience from different scientific disciplines including physics, chemistry and engineering Encourages active learning through the inclusion of guided exercises, to prove all claims made in the text
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Covering the fundamentals as well as many special topics of current interest, this is the most concise, up-to-date, and accessible graduate-level textbook on quantum mechanics available. Written by Gerald Mahan, a distinguished research physicist and author of an acclaimed textbook on many-particle physics, Quantum Mechanics in a Nutshell is the distillation of many years’ teaching experience. Emphasizing the use of quantum mechanics to describe actual quantum systems such as atoms and solids, and rich with interesting applications, the book proceeds from solving for the properties of a single particle in potential; to solving for two particles (the helium atom); to addressing many-particle systems. Applications include electron gas, magnetism, and Bose-Einstein Condensation; examples are carefully chosen and worked; and each chapter has numerous homework problems, many of them original. Quantum Mechanics in a Nutshell expertly addresses traditional and modern topics, including perturbation theory, WKBJ, variational methods, angular momentum, the Dirac equation, many-particle wave functions, Casimir Force, and Bell’s Theorem. And it treats many topics — such as the interactions between photons and electrons, scattering theory, and density functional theory — in exceptional depth. A valuable addition to the teaching literature, Quantum Mechanics in a Nutshell is ideally suited for a two-semester course. The most concise, up-to-date, and accessible graduate textbook on the subject Contains the ideal amount of material for a two-semester course Focuses on the description of actual quantum systems, including a range of applications Covers traditional topics, as well as those at the frontiers of research Treats in unprecedented detail topics such as photon-electron interaction, scattering theory, and density functional theory Includes numerous homework problems at the end of each chapter
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【簡介】 【目錄】 1 Basics 2 Reformulation 3 Wentzel-Kramers-Brillouin (WKB) Method 4 Rotations, Angular Momentum, and Central Force Motion 5 Time-Independent Perturbation Theory 6 Atomic Structure 7 Time-Dependent Perturbation Theory and Scattering 8 Semi-Classical and Quantum Electromagnetic Field 9 Emission and Absorption of Radiation 10 Relativistic Quantum Mechanics A Dimensions and Units B Mathematical Tools C Selected Solutions