This book is the fruit of for many years teaching the introduction to quantum mechanics students of physics at Oxford University.This book aims to give students the best possible understanding of the physical implications of quantum mechanics by explaining how quantum systems evolve in time, and showing the close parallels between quantum and classical dynamics.The text starts by introducing probability amplitudes and stresses that the use of amplitudes rather than probabilities is what makes quantum mechanics unique.The physical significance of operators is more clearly explained than in conventional texts, and Dirac notation is used from the outset, so students learn early on that they are free to choose the most convenient representation for a particular problem.The mathematical development of the subject is more self-contained and rigorous than in traditional texts because most eigenvalue problems are solved by operator methods.Every chapter concludes with an extensive list of problems for which solutions are available. The solutions to problems marked with an asterisk, which tend to be the harder problems, are available online and solutions to other problems are available to colleagues who are teaching a course from the book. In nearly every problem a student will either prove a useful result or deepen his/her understanding of quantum mechanics and what it says about the material world. Even after successfully solving a problem students will find it instructive and thought-provoking to study the solution.
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