Introductory Quantum Mechanics

Paul R. Berman is a Physics Professor at the University of Michigan. He is a Fellow of the American Physical Society and the Optical Society of America. Among topics he is currently investigating are microscopic theories of atom-field interactions in dielectrics, spin squeezing, storing quantum information, light scattering, collective emission, and pedagogical problems in atom-field interactions.

Introduction.- Mathematical Introduction.- Free Particle Schroedinger Equation - Free-Particle Wave Packets.- Schroedinger's Equation with Potential Energy: Introduction to Operators.- Postulates and Basic Elements of Quantum Mechanics: Properties of Operators.- Problems in 1-dimension: General Considerations, Infinite Well Potential, Piecewise Constant Potentials, and Delta Function Potentials.- Simple Harmonic Oscillator - One Dimension.- Problems in 2 and 3-dimensions - General Considerations.- Central Forces and Angular Momentum.- Spherically Symmetric Potentials - Radial Equation.- Dirac Notation.- Spin.- Important Basics from Phys 453.- Perturbation Theory.- Variational Approach.- WKB Approximation.- Scattering - 1-D.- Scattering - 3-D.- Symmetries and Transformations.- Rotations - Examples.- Addition of Angular Momentum: Clebsch-Gordan Coefficients.- Vector and Tensor Operators: Wigner-Eckart Theorem.- Spin-Orbit Interactions - Hydrogen Atom with Spin in External Fields.- Time-Dependent Problems.- Approximation Techniques in Time-Dependent Problems.- Fermi's Golden Rule.

"The book is based on junior and senior level undergraduate courses ... . the author discusses some open conceptual problems of quantum physics and his own position with respect to them. This makes the exposition more modern and vivid. ... Almost each chapter is enriched with appendices with more advanced material." (Yana Kinderknecht, zbMATH 1394.81001, 2018)

“The book is based on junior and senior level undergraduate courses … . the author discusses some open conceptual problems of quantum physics and his own position with respect to them. This makes the exposition more modern and vivid. … Almost each chapter is enriched with appendices with more advanced material.” (Yana Kinderknecht, zbMATH 1394.81001, 2018)