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  • Textbook
  • © 2014

Quantum Mechanics for Pedestrians 1: Fundamentals

Authors:

  • Provides fresh access to quantum mechanics through the combination of standard topics with new understanding
  • Gives a reasonably easy and modern introduction into quantum mechanics
  • Contains many additional explanations which are not contained in other textbooks
  • Addresses recent developments and applications of quantum mechanics
  • Discusses further leading topics and additional basic knowledge in the appendix
  • Displays in parallel the analytic and algebraic formulation of quantum mechanics
  • Supports learning with exercises and problems with solutions
  • Includes supplementary material: sn.pub/extras

Part of the book series: Undergraduate Lecture Notes in Physics (ULNP)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Fundamentals

    1. Front Matter

      Pages 1-1
    2. Towards the Schrödinger Equation

      • Jochen Pade
      Pages 3-13
    3. Polarization

      • Jochen Pade
      Pages 15-28
    4. More on the Schrödinger Equation

      • Jochen Pade
      Pages 29-40
    5. Interaction-Free Measurement

      • Jochen Pade
      Pages 73-86
    6. Position Probability

      • Jochen Pade
      Pages 87-99
    7. Neutrino Oscillations

      • Jochen Pade
      Pages 101-110
    8. Stopover; then on to Quantum Cryptography

      • Jochen Pade
      Pages 127-140
    9. Abstract Notation

      • Jochen Pade
      Pages 141-152
    10. Continuous Spectra

      • Jochen Pade
      Pages 153-165
    11. Operators

      • Jochen Pade
      Pages 167-188
    12. Postulates of Quantum Mechanics

      • Jochen Pade
      Pages 189-203
  3. Back Matter

    Pages 205-452

About this book

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. 

Authors and Affiliations

  • Institut für Physik, Universität Oldenburg, Oldenburg, Germany

    Jochen Pade

About the author

Jochen Pade studied physics in Freiburg (Germany), where he received his PhD in theoretical physics in 1978. Since 1980, he has been a lecturer at the Carl von Ossietzky University Oldenburg (Germany). His research interests are: Theoretical physics, didactics and popularisation of science.

Bibliographic Information