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This book presents a basic introduction to quantum mechanics. Depending on the choice of topics, it can be used for a one-semester or two-semester course. An attempt has been made to anticipate the conceptual problems...
This book presents a basic introduction to quantum mechanics. Depending on the choice of topics, it can be used for a one-semester or two-semester course. An attempt has been made to anticipate the conceptual problems students encounter when they first study quantum mechanics. Wherever possible, examples are given to illustrate the underlying physics associated with the mathematical equations of quantum mechanics. To this end, connections are made with corresponding phenomena in classical mechanics and electromagnetism. The problems at the end of each chapter are intended to help students master the course material and to explore more advanced topics. Many calculations exploit the extraordinary capabilities of computer programs such as Mathematica, MatLab, and Maple. Students are urged to use these programs, just as they had been urged to use calculators in the past. The treatment of various topics is rather complete, in that most steps in derivations are included. Several of the chapters go beyond what is traditionally covered in an introductory course. The goal of the presentation is to provide the students with a solid background in quantum mechanics.
Uses software programs such as Mathematica to illustrate results of many calculations
Collects problems carefully designed to illustrate and expand upon textual material
Contains physically based treatments of such topics as angular momentum and scattering
Includes ancillary material on website containing programs that students can use to explore results that are derived in the text
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)
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.
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.
