[Illinois] PHYS466 2013 Lecture 28: PIMC Intro II

By David M. Ceperley

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

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Abstract


Cite this work

Researchers should cite this work as follows:

  • David M. Ceperley (2013), "[Illinois] PHYS466 2013 Lecture 28: PIMC Intro II," https://nanohub.org/resources/18096.

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Location

University of Illinois, Urbana-Champaign, IL

Submitter

NanoBio Node, George Michael Daley

University of Illinois at Urbana-Champaign

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[Illinois] PHYS 466 Lecture 28: PIMC Intro II
  • Trotter's formula (1959) 1. Trotter's formula (1959) 0
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  • Slide 2: Untitled 2. Slide 2: Untitled 14.006691995509888
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  • 3. "Distinguishable" particles 269.50878708061657
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  • Main Numerical Issues of PIMC 4. Main Numerical Issues of PIMC 497.1160240079451
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  • Calculating properties 5. Calculating properties 512.61215941966407
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  • 6. "Distinguishable" particles 554.51370957295217
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  • Different schemes to picture PIs. 7. Different schemes to picture P… 652.69722354160365
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  • Calculation of Energy 8. Calculation of Energy 684.06140161492294
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  • Examples of distinguishable particle calculations 9. Examples of distinguishable pa… 1122.9119564748046
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  • Example: Solid H2 10. Example: Solid H2 1165.185413877974
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  • Layer Structure of Solid H2 11. Layer Structure of Solid H2 1174.8550023748867
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  • Snapshots of H2 density 12. Snapshots of H2 density 1240.682585603869
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  • Layer Structure of Solid H2 13. Layer Structure of Solid H2 1281.3444449242195
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  • Snapshots of H2 density 14. Snapshots of H2 density 1300.5596528347512
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  • Slide 15: Untitled 15. Slide 15: Untitled 1311.9648084977762
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  • Examples for 2 particles 16. Examples for 2 particles 1436.5537372079971
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  • Harmonic Approximation 17. Harmonic Approximation 1554.3243663370613
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  • Examples for 2 particles 18. Examples for 2 particles 1603.0442160715056
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  • Harmonic Approximation 19. Harmonic Approximation 1628.7058163133122
    00:00/00:00
  • Cluster action 20. Cluster action 1640.6068483095123
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  • Slide 21: Untitled 21. Slide 21: Untitled 1735.8151042791139
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  • Lévy construction 22. Lévy construction 2104.6231270780258
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  • How to sample a single slice. 23. How to sample a single slice. 2678.4760136448035
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  • PIMC Sampling considerations 24. PIMC Sampling considerations 2717.2783367157476
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  • Bisection method 25. Bisection method 2749.6342674554171
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  • Multilevel Metropolis/ Bisection 26. Multilevel Metropolis/ Bisecti… 2802.9409732717304
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