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 Schrödinger 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

Preface xvI Essentials 11 Key Features of Quantum Mechanics 32 Light, Particles, and Waves 313 Schrodinger Equation 674 Wave Packets, Uncertainty, and Momentum Space 935 Expectation Values and Hermitian Operators 1116 Stationary States I: Special Potentials 1337 Stationary States II: General Features 1718 Stationary States III: Scattering 2119 Harmonic Oscillator 23310 Angular Momentum and Central Potentials 25511 Hydrogen Atom 28112 The Simplest Quantum System: Spin One-Half 307II Theory 33513 Vector Spaces and Operators 33714 Inner Products, Adjoints, and Bra-kets 38115 Uncertainty Principle and Compatible Operators 42716 Pictures of Quantum Mechanics 45917 Dynamics of Quantum Systems 48118 Multiparticle States and Tensor Products 51919 Angular Momentum and Central Potentials: Part II 55520 Addition of Angular Momentum 59921 Identical Particles 639III Applications 68522 Density Matrix and Decoherence 68723 Quantum Computation 73724 Charged Particles in Electromagnetic Fields 76125 Time-Independent Perturbation Theory 79326 WKB and Semiclassical Approximation 84927 Time-Dependent Perturbation Theory 89128 Adiabatic Approximation 95329 Scattering in One Dimension 99930 Scattering in Three Dimensions 1025References 1057Index 1065