Possible equivalence of Feynman's backflow and spin-dependent correlations
S. A. Vitiello, Kevin Schmidt, S. Fantoni
The topic in the title has produced debate about whether spin-dependent correlations should be used in trial wave functions for Hamiltonians that are independent of spin. We investigate this question by calculating the ground-state properties of a small system of 3He atoms using the variational Monte Carlo method and trial wave functions, first, with explicit backflow correlations and second, with spin-dependent correlations. We review how backflow and spin-dependent correlations can be made approximately equivalent, and then give Monte Carlo results which demonstrate that spin-dependent correlations can substantially reproduce the effect of backflow correlations.
Physical Review B - Condensed Matter and Materials Physics
Wave functions
Hamiltonians
Ground state
Monte Carlo methods
Monte Carlo method
Vitiello, S. A., Schmidt, K., & Fantoni, S. (1997). Possible equivalence of Feynman's backflow and spin-dependent correlations. Physical Review B - Condensed Matter and Materials Physics, 55(9), 5647-5650.
Possible equivalence of Feynman's backflow and spin-dependent correlations. / Vitiello, S. A.; Schmidt, Kevin; Fantoni, S.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 55, No. 9, 01.03.1997, p. 5647-5650.
Vitiello, SA, Schmidt, K & Fantoni, S 1997, 'Possible equivalence of Feynman's backflow and spin-dependent correlations', Physical Review B - Condensed Matter and Materials Physics, vol. 55, no. 9, pp. 5647-5650.
Vitiello SA, Schmidt K, Fantoni S. Possible equivalence of Feynman's backflow and spin-dependent correlations. Physical Review B - Condensed Matter and Materials Physics. 1997 Mar 1;55(9):5647-5650.
Vitiello, S. A. ; Schmidt, Kevin ; Fantoni, S. / Possible equivalence of Feynman's backflow and spin-dependent correlations. In: Physical Review B - Condensed Matter and Materials Physics. 1997 ; Vol. 55, No. 9. pp. 5647-5650.
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title = "Possible equivalence of Feynman's backflow and spin-dependent correlations",
abstract = "The topic in the title has produced debate about whether spin-dependent correlations should be used in trial wave functions for Hamiltonians that are independent of spin. We investigate this question by calculating the ground-state properties of a small system of 3He atoms using the variational Monte Carlo method and trial wave functions, first, with explicit backflow correlations and second, with spin-dependent correlations. We review how backflow and spin-dependent correlations can be made approximately equivalent, and then give Monte Carlo results which demonstrate that spin-dependent correlations can substantially reproduce the effect of backflow correlations.",
author = "Vitiello, {S. A.} and Kevin Schmidt and S. Fantoni",
journal = "Physical Review B-Condensed Matter",
T1 - Possible equivalence of Feynman's backflow and spin-dependent correlations
AU - Vitiello, S. A.
AU - Schmidt, Kevin
AU - Fantoni, S.
N2 - The topic in the title has produced debate about whether spin-dependent correlations should be used in trial wave functions for Hamiltonians that are independent of spin. We investigate this question by calculating the ground-state properties of a small system of 3He atoms using the variational Monte Carlo method and trial wave functions, first, with explicit backflow correlations and second, with spin-dependent correlations. We review how backflow and spin-dependent correlations can be made approximately equivalent, and then give Monte Carlo results which demonstrate that spin-dependent correlations can substantially reproduce the effect of backflow correlations.
AB - The topic in the title has produced debate about whether spin-dependent correlations should be used in trial wave functions for Hamiltonians that are independent of spin. We investigate this question by calculating the ground-state properties of a small system of 3He atoms using the variational Monte Carlo method and trial wave functions, first, with explicit backflow correlations and second, with spin-dependent correlations. We review how backflow and spin-dependent correlations can be made approximately equivalent, and then give Monte Carlo results which demonstrate that spin-dependent correlations can substantially reproduce the effect of backflow correlations.
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter