Mastering Quantum Mechanics

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 physics majors 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, paralleling students' increasingly sophisticated understanding of the material. Part 1, on essentials, offers a sound introduction to the subject, touching on such topics as states and probability amplitudes, the Schrodinger equation, and energy eigenstates of particles in potentials. Part 2, on theoretical foundations, covers mathematical tools, the pictures of quantum mechanics and the axioms of quantum mechanics, entanglement and tensor products, and angular momentum. Part 3, on applications, introduces tools and techniques that help students master the theoretical concepts with a focus on approximation methods. Exercises and problems appear throughout the text, with end-of-chapter problems requiring the most effort. After mastering the material in this book, students will have the strong foundation in quantum mechanics that is required for graduate work in physics.