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Quantum Theory Basics

  • Vladimir G. IvancevicEmail author
  • Tijana T. Ivancevic
Chapter
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 40)

Abstract

Quantum Theory Basics gives a modern review of quantum theory, including quantum mechanics and (mostly path-integral based) quantum field theory, as well as Abelian and non-Abelian gauge theories with their quantization. It includes the following sections:

  1. 3.1

    Basics of Non-Relativistic Quantum Mechanics

    This section introduces Schrödinger-Dirac quantum mechanics of a single particle and system of particles.

     
  2. 3.2

    Introduction to Quantum Fields

    This section includes Dirac’s amplitude, causality and QED, free and interacting quantum fields, Abelian gauge fields and introduction to topological quantum computation.

     
  3. 3.3

    The Feynman Path Integral

    This section introduces Feynman’s action-amplitude formalism, correlation functions and generating functionals, Feynman QED, and wavelet-based QFT.

     
  4. 3.4

    The Path-Integral TQFT

    This section briefly describes Schwarz- and Witten-type quantum field theories, presents topological Hodge decomposition theorem and its application to Chern-Simons theory.

     
  5. 3.5

    Non-Abelian Gauge Theories

    This section introduces Yang-Mills theory and its quantization.

     

Keywords

Gauge Theory Gauge Transformation Wilson Loop Conformal Block Operator Product Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of DefenceDefence Science & Technology Organisation (DSTO)EdinburghAustralia
  2. 2.School of Electrical & Information EngineeringUniversity of South AustraliaAdelaideAustralia

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