Chapter 2. Path Integrals

  •    2.1. Path Integral Representation of Time Evolution Amplitudes       ( May 12, 2016 )
  •    2.2. Exact Solution for the Free Particle       ( Aug 14, 2016 )
  •          Mathematica code for §2.3
  •    2.3. Exact Solution for Harmonic Oscillator       ( May 17, 2016 )
  •    2.4. Gelfand-Yaglom Formula       ( May 19, 2016 )
  •    2.5. Harmonic Oscillator with Time-Dependent Frequency       ( May 20, 2016 )
  •    2.6. Free Particle & Oscillator Wave Functions       ( May 20, 2016 )
  •    2.7. General Time-Dependent Harmonic Action       ( May 22, 2016 )
  •    2.8. Path Integrals & Quantum Statistics       ( May 22, 2016 )
  •    2.9. Density Matrix       ( May 25, 2016 )
  •    2.10. Quantum Statistics of the Harmonic Oscillator       ( Aug 14, 2016 )
  •    2.11. Time Dependent Harmonic Potential       ( May 30, 2016 )
  •    2.12. Functional Measure in Fourier Space       ( May 31, 2016 )
  •    2.13. Classical Limit       ( May 31, 2016 )
  •    2.14. Calculation Techniques on Sliced Time Axis       ( Aug 10, 2016 )
  •    2.15. Field Theoretic Definition of Harmonic Path Integrals       ( Jun 07, 2016 )
  •    2.16. Finite-N Behavior of Thermodynamic Quantities       ( Jun 08, 2016 )
  •          Mathematica code for §2.16
  •    2.17. Time Evolution Amplitude of Freely Falling Particle       ( Jun 22, 2016 )
  •          Mathematica code for §2.17
  •    2.18. Charged Particle in Magnetic Field       ( Jun 23, 2016 )
  •          Mathematica code for §2.18
  •    2.19. Charged Particle in Magnetic Field Plus Harmonic Potential       ( Jun 25, 2016 )
  •    2.20. Gauge Invariance & Alternative Path Integral       ( Jun 27, 2016 )
  •    2.21. Velocity Path Integral       ( Jun 27, 2016 )
  •    2.22. Path Integral Representation of the Scattering Matrix       ( Jun 30, 2016 )
  •    2.23. Heisenberg Operator Approach to Time Evolution Amplitude       ( Jul 03, 2016 )
  •    Chap.2.zip       ( Aug 14, 2016 )

    Appendix 2

  •    A2A. Baker-Campbell-Hausdorff Formula & Magnus Expansion       ( Aug 14, 2016 )
  •    A2B. Direct Calculation of the Time-Sliced Oscillator Amplitude       ( Jul 15, 2016 )
  •    A2C. Derivation of Mehler Formula       ( Jul 16, 2016 )
  •          Mathematica code for A2C

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