David Ceperley
Path-Integral Monte Carlo

  1. Basics:
    1. Properties of thermal density matrix
    2. Trotter formula, visualization of paths, Feynman-Kacs formula
    3. Primitive vs. improved actions, Matrix squaring
  2. Details:
    1. Properties, virial estimators
    2. Metropolis MC as applied to path integrals
    3. Moving rules: bisection, fourier path and MD
    4. Applications
  3. Bosonic systems:
    1. Symmetrization and permutations
    2. Superfluid transition
    3. Sampling permutations
    4. Superfluid density and momentum condensation
    5. Applications
  4. Fermion systems:
    1. Problem with the direct method
    2. Restricted path integrals
    3. Other fermion world-line methods
    4. Applications
NATO ASI, Cornell Theory Center,

Last modified: Thu Jun 11 17:20:05 EDT 1998