[Illinois] PHYS466 2013 Lecture 26: PIMC Intro I

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 26: PIMC Intro I," https://nanohub.org/resources/18094.

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University of Illinois, Urbana-Champaign, IL

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NanoBio Node, George Michael Daley

University of Illinois at Urbana-Champaign

[Illinois] PHYS 466 Lecture 26: PIMC Intro I
  • Motivation for Path Integral MC 1. Motivation for Path Integral M… 0
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  • Slide 2: Untitled 2. Slide 2: Untitled 246.80691261072047
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  • PIMC Simulations 3. PIMC Simulations 474.5454545454545
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  • Notation 4. Notation 580.28925619834706
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  • The thermal density matrix 5. The thermal density matrix 674.62809917355366
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  • Trotter's formula (1959) 6. Trotter's formula (1959) 1285.1652892561983
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  • The thermal density matrix 7. The thermal density matrix 1502.8512396694214
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  • Trotter's formula (1959) 8. Trotter's formula (1959) 1688.8016528925621
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  • Evaluation of kinetic density matrix 9. Evaluation of kinetic density … 2017.3140495867767
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  • Slide 10: Untitled 10. Slide 10: Untitled 2028.0991735537189
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  • 11. "Distinguishable" particles 2130.3719008264466
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  • Different schemes to picture PIs. 12. Different schemes to picture P… 2171.03305785124
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  • 13. "Distinguishable" particles 2211.322314049587
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  • Slide 14: Untitled 14. Slide 14: Untitled 2389.8347107438017
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  • 15. "Distinguishable" particles 2432.6033057851241
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  • Different schemes to picture PIs. 16. Different schemes to picture P… 2476.2396694214876
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  • Main Numerical Issues of PIMC 17. Main Numerical Issues of PIMC 2556.4462809917354
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  • Slide 18: Untitled 18. Slide 18: Untitled 2569.4628099173556
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  • Main Numerical Issues of PIMC 19. Main Numerical Issues of PIMC 2592.2727272727275
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