[Illinois] PHYS466 2013 Lecture 30: PIMC Bose II

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 30: PIMC Bose II," https://nanohub.org/resources/18098.

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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 30: PIMC Bose II
  • Bosonic Path Integrals 1. Bosonic Path Integrals 0
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  • Quantum statistics 2. Quantum statistics 11.900429871038689
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  • Exchange picture 3. Exchange picture 97.563609097725575
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  • Permutation Distribution 4. Permutation Distribution 163.75487353793861
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  • Slide 5: Untitled 5. Slide 5: Untitled 262.93826543364162
    00:00/00:00
  • Slide 6: Untitled 6. Slide 6: Untitled 380.58485378655337
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  • Superfluidity and PIMC 7. Superfluidity and PIMC 439.22219445138717
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  • Winding numbers in periodic boundary conditions 8. Winding numbers in periodic bo… 567.2821794551362
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  • Superfluidity in pure Droplets 9. Superfluidity in pure Droplets 785.343664083979
    00:00/00:00
  • Droplets and PIMC E. Draeger (LLNL) D. Ceperley(UIUC) 10. Droplets and PIMC E. Draeger (… 841.87353161709564
    00:00/00:00
  • Experimental Setup for He droplets 11. Experimental Setup for He drop… 866.29542614346417
    00:00/00:00
  • Slide 12: Untitled 12. Slide 12: Untitled 891.04468659402175
    00:00/00:00
  • Bose condensation 13. Bose condensation 996.71082229442641
    00:00/00:00
  • Derivation of momentum formula 14. Derivation of momentum formula 1223.5741064733818
    00:00/00:00
  • Bose condensation 15. Bose condensation 1400.6018495376156
    00:00/00:00
  • How to calculate n(r) 16. How to calculate n(r) 1631.8040489877533
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  • Comparison with experiment 17. Comparison with experiment 1656.5978505373657
    00:00/00:00
  • Dictionary of the Quantum-Classical Isomorphism 18. Dictionary of the Quantum-Clas… 1709.0367408147963
    00:00/00:00
  • Some current applications of PIMC 19. Some current applications of P… 1804.1209697575605
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  • Fermion Path Integrals 20. Fermion Path Integrals 1883.7090727318171
    00:00/00:00
  • 21. "Direct" Fermion Path Integral… 1894.3704073981505
    00:00/00:00
  • Importance Sampling 22. Importance Sampling 2249.045738565359
    00:00/00:00
  • Fermion variance 23. Fermion variance 2262.9302674331416
    00:00/00:00
  • The Sign Problem 24. The Sign Problem 2340.5348662834294
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  • To get around the sign problem 25. To get around the sign problem 2452.2309422644339
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