A complete overview of quantum mechanics, covering essential concepts and results, theoretical foundations, and applications.
A complete overview of quantum mechanics, covering essential concepts and results, theoretical foundations, and applications.
This undergraduate textbook offers a comprehensive overview of quantum mechanics, beginning with essential concepts and results, proceeding through the theoretical foundations that provide the field's conceptual framework, and concluding with the tools and applications students will need for advanced studies and for research. Drawn from lectures created for MIT undergraduates and for the popular MITx online course, ""Mastering Quantum Mechanics,"" the text presents the material in a modern and approachable manner while still including the traditional topics necessary for a well-rounded understanding of the subject. As the book progresses, the treatment gradually increases in difficulty, matching students' increasingly sophisticated understanding of the material.
. Part 1 covers states and probability amplitudes, the Schr dinger equation, energy eigenstates of particles in potentials, the hydrogen atom, and spin one-half particles . Part 2 covers mathematical tools, the pictures of quantum mechanics and the axioms of quantum mechanics, entanglement and tensor products, angular momentum, and identical particles. . Part 3 introduces tools and techniques that help students master the theoretical concepts with a focus on approximation methods. . 236 exercises and 286 end-of-chapter problems . 248 figures
By:
Barton Zwiebach
Imprint: MIT Press
Country of Publication: United States
Dimensions:
Height: 254mm,
Width: 203mm,
ISBN: 9780262046138
ISBN 10: 026204613X
Pages: 1200
Publication Date: 17 May 2022
Audience:
General/trade
,
ELT Advanced
Format: Hardback
Publisher's Status: Active
Preface xv I Essentials 1 1 Key Features of Quantum Mechanics 3 2 Light, Particles, and Waves 31 3 Schrodinger Equation 67 4 Wave Packets, Uncertainty, and Momentum Space 93 5 Expectation Values and Hermitian Operators 111 6 Stationary States I: Special Potentials 133 7 Stationary States II: General Features 171 8 Stationary States III: Scattering 211 9 Harmonic Oscillator 233 10 Angular Momentum and Central Potentials 255 11 Hydrogen Atom 281 12 The Simplest Quantum System: Spin One-Half 307 II Theory 335 13 Vector Spaces and Operators 337 14 Inner Products, Adjoints, and Bra-kets 381 15 Uncertainty Principle and Compatible Operators 427 16 Pictures of Quantum Mechanics 459 17 Dynamics of Quantum Systems 481 18 Multiparticle States and Tensor Products 519 19 Angular Momentum and Central Potentials: Part II 555 20 Addition of Angular Momentum 599 21 Identical Particles 639 III Applications 685 22 Density Matrix and Decoherence 687 23 Quantum Computation 737 24 Charged Particles in Electromagnetic Fields 761 25 Time-Independent Perturbation Theory 793 26 WKB and Semiclassical Approximation 849 27 Time-Dependent Perturbation Theory 891 28 Adiabatic Approximation 953 29 Scattering in One Dimension 999 30 Scattering in Three Dimensions 1025 References 1057 Index 1065
Barton Zwiebach is Professor of Physics at MIT. His research is in theoretical particle physics and string theory, and he is the author of the undergraduate textbook A First Course in String Theory. The creator and lead instructor for the popular MITx Mastering Quantum Mechanics course, he taught undergraduate quantum mechanics at MIT from 2010 to 2020.
