Path Integrals & Quantum Processes

Text:

M.S.Swanson, "Path Integrals & Quantum Processes", Academic Press, 1992.

  • Swanson's text is a nice book for self-study.
  • Motivation & physical interpretations of all topics are adequately described in the text.
  • The main purpose of these notes is to supply the mathematical details so that the subject can be more fully appreciated.

  • Mathematical Supplement


    Chapter 1. Mathematical Preliminaries

  •    1.1. The Dirac Delta       ( Aug 29, 2015 )
  •    1.2. Completeness       ( Aug 30, 2015 )
  •    1.3. Functionals       ( Aug 30, 2015 )
  •    1.4. Matrices       ( Sep 01, 2015 )
  •    1.5. Gaussian Integrals       ( Sep 02, 2015 )
  •    Chap.1.zip       ( Sep 02, 2015 )

    Chapter 2. Quantum Mechanical Path Integrals

  •    2.1. Quantum Mechanics       ( Nov 16, 2015 )
  •    2.2. The Path Integral Derived       ( Nov 20, 2015 )
  •    2.3. The Sum Over Histories       ( Sep 12, 2015 )
  •    Chap.2.zip       ( Nov 20, 2015 )

    Chapter 3. Evaluating the Path Integral

  •    3.1. The Free Particle       ( Sep 08, 2015 )
  •    3.2. Motion with a Source       ( Sep 08, 2015 )
  •    3.3. Continuum Techniques       ( Sep 09, 2015 )
  •    3.4. Topological Measure       ( Sep 10, 2015 )
  •    Chap.3.zip       ( Sep 10, 2015 )

    Chapter 4. Further Applications

  •    4.1. Natural Units       ( Sep 11, 2015 )
  •    4.2. Statistical Mechanics       ( Sep 12, 2015 )
  •    4.3.Symmetry & Generating Functionals       ( Sep 14, 2015 )
  •    4.4. Harmonic Oscillator Coherent States       ( Sep 17, 2015 )
  •    4.5. Spontaneous Broken Symmetry       ( Sep 20, 2015 )
  •    4.6. Constraints       ( Jan 04, 2016 )
  •    Momentum Operator in General Coordinates       ( Jan 05, 2016 )
  •    Chap.4.zip       ( Jan 05, 2016 )

    Dirac's Lectures on Quantum Mechanics

  • Quantization of a classical system with constraints is discussed in Dirac's lectures.
  • Those who are familiar with the classical treatment can start directly with the 2nd lecture.
  •    1. The Hamiltonian Method       ( Dec 27, 2015 )
  •    2. The Problem of Quantization       ( Jan 06, 2016 )
  •    Dirac.zip       ( Jan 06, 2016 )

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