2nd Edition. — Springer, 2018. — 525 p. — (Undergraduate Lecture Notes in Physics). — ISBN 978-3-030-00463-7.This book, the first in a two-volume set, provides an introduction to the fundamentals of (mainly) non-relativistic quantum mechanics. This first volume chiefly focuses on the essential principles, while applications and extensions of the formalism can be found in volume 2. Including but also moving beyond material that is covered in traditional textbooks on quantum mechanics, the book discusses in detail current issues such as interaction-free quantum measurements or neutrino oscillations, as well as fundamental problems and epistemological questions, such as the measurement problem. A chapter on the postulates of quantum mechanics rounds off this first volume. In order to quickly and clearly present the main principles of quantum mechanics and its mathematical formulation, there is a systematic transition between wave mechanics and algebraic representation in the first few chapters, in which the required mathematical tools are introduced step by step. Moreover, the appendix concisely reviews the most important mathematical tools, allowing readers to largely dispense with supplementary literature. The appendix also explores advanced topics, such as the Quantum-Zeno effect and time-delay experiments. Over 250 exercises, most of them with solutions, help to deepen the reader’s understanding of the topics discussed. This revised second edition is expanded by an introduction to some ideas and problems of relativistic quantum mechanics. In this first volume, the Klein-Gordon and the Dirac equations are treated. Fundamentals of other areas are compiled in compact form, i.e., outlines of special relativity, classical field theory and electrodynamics. Table of contents Towards the Schrödinger Equation Polarization More on the Schrödinger Equation Complex Vector Spaces and Quantum Mechanics Two Simple Solutions of the Schrödinger Equation Interaction-Free Measurement Position Probability Neutrino Oscillations Expectation Values, Mean Values, and Measured Values Stopover; Then on to Quantum Cryptography Abstract Notation Continuous Spectra Operators Postulates of Quantum Mechanics
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