[Illinois] PHYS466 2013 Lecture 31: Path Integral Fermions

By David M. Ceperley

Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL

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Abstract


Bio

Professor Ceperley received his BS in physics from the University of Michigan in 1971 and his Ph.D. in physics from Cornell University in 1976. After one year at the University of Paris and a second postdoc at Rutgers University, he worked as a staff scientist at both Lawrence Berkeley and Lawrence Livermore National Laboratories. In 1987, he joined the Department of Physics at Illinois. Professor Ceperley is a staff scientist at the National Center for Supercomputing Applications at Illinois.

Professor Ceperley's work can be broadly classified into technical contributions to quantum Monte Carlo methods and contributions to our physical or formal understanding of quantum many-body systems. His most important contribution is his calculation of the energy of the electron gas, providing basic input for most numerical calculations of electronic structure. He was one of the pioneers in the development and application of path integral Monte Carlo methods for quantum systems at finite temperature, such as superfluid helium and hydrogen under extreme conditions.

Professor Ceperley is a Fellow of the American Physical Society and a member of the American Academy of Arts and Sciences. He was elected to the National Academy of Sciences in 2006

Cite this work

Researchers should cite this work as follows:

  • David M. Ceperley (2013), "[Illinois] PHYS466 2013 Lecture 31: Path Integral Fermions," https://nanohub.org/resources/18099.

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Time

Location

University of Illinois, Urbana-Champaign, IL

Submitter

NanoBio Node, George Michael Daley

University of Illinois at Urbana-Champaign

Tags

[Illinois] PHYS 466 Lecture 31: Path Integral Fermions
  • Fermion Path Integrals 1. Fermion Path Integrals 0
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  • 2. "Direct" Fermion Path Integral… 107.07971975004735
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  • Fermion variance 3. Fermion variance 372.88432217434536
    00:00/00:00
  • The Sign Problem 4. The Sign Problem 531.93039443155453
    00:00/00:00
  • Slide 5: Untitled 5. Slide 5: Untitled 537.50878355982763
    00:00/00:00
  • Fixed-Node method with PIMC 6. Fixed-Node method with PIMC 547.54988399071931
    00:00/00:00
  • Proof of the fixed node method 7. Proof of the fixed node method 650.68810076234672
    00:00/00:00
  • Fixed-Node method with PIMC 8. Fixed-Node method with PIMC 1116.1736824660259
    00:00/00:00
  • Slide 9: Untitled 9. Slide 9: Untitled 1189.9323831620816
    00:00/00:00
  • Fixed-Node method with PIMC 10. Fixed-Node method with PIMC 1275.467683128936
    00:00/00:00
  • Ortho-para H2 example 11. Ortho-para H2 example 1312.4090155783892
    00:00/00:00
  • Paths on a sphere 12. Paths on a sphere 1642.7736161750083
    00:00/00:00
  • Restricted paths for ortho H2 13. Restricted paths for ortho H2 1853.2648326151805
    00:00/00:00
  • Nodal Properties 14. Nodal Properties 1968.1796486576068
    00:00/00:00
  • RPIMC with approximate nodes 15. RPIMC with approximate nodes 2144.0848525024858
    00:00/00:00
  • Free particle nodes 16. Free particle nodes 2195.4060324825987
    00:00/00:00
  • BEC of excitons [rs=6 T<Tc] 17. BEC of excitons [rs=6 T 2319.6181637388131
    00:00/00:00
  • Pairing Nodes 18. Pairing Nodes 2457.3423931057341
    00:00/00:00
  • Properties of hot dense hydrogen 19. Properties of hot dense hydrog… 2477.7964865760691
    00:00/00:00
  • Low Density Molecular Fluid 20. Low Density Molecular Fluid 2493.911832946636
    00:00/00:00
  • Molecular Metallic liquid 21. Molecular Metallic liquid 2557.8773616175008
    00:00/00:00
  • Ionized Fermi Liquid 22. Ionized Fermi Liquid 2578.0835266821346
    00:00/00:00