Quantum Mechanics for Pedestrians 1: Fundamentals

• Κύριος συγγραφέας: Pade, Jochen (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Undergraduate Lecture Notes in Physics,
• Θέματα: Physics.; Mathematical physics.; Quantum field theory.; String theory.; Quantum physics.; Quantum computers.; Spintronics.; Quantum Physics.; Quantum Field Theories, String Theory.; Mathematical Applications in the Physical Sciences.; Quantum Information Technology, Spintronics.; Mathematical Methods in Physics.

 This book provides an introduction into the fundamentals of non-relativistic quantum mechanics. In Part 1, the essential principles are developed. Applications and extensions of the formalism can be found in Part 2. The book includes not only material that is presented in traditional textbooks on quantum mechanics, but also discusses in detail current issues such as interaction-free quantum measurements, neutrino oscillations, various topics in the field of quantum information as well as fundamental problems and epistemological questions, such as the measurement problem, entanglement, Bell's inequality, decoherence, and the realism debate. A chapter on current interpretations of quantum mechanics concludes the book. To develop quickly and clearly the main principles of quantum mechanics and its mathematical formulation, there is a systematic change between wave mechanics and algebraic representation in the first chapters. The required mathematical tools are introduced step by step. Moreover, the appendix collects compactly the most important mathematical tools that supplementary literature can be largely dispensed. In addition, the appendix contains advanced topics, such as Quantum- Zeno effect, time-delay experiments, Lenz vector and the Shor algorithm. About 250 exercises, most of them with solutions, help to deepen the understanding of the topics. Target groups of the book are student teachers and all students of physics, as minor or major, looking for a reasonably easy and modern introduction into quantum mechanics. 

 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 Value, Mean Value, Measured Value -- Stopover - Quantum Cryptography -- Abstract Notation -- Continuous Spectra -- Operators -- Postulates of Quantum Mechanics.