### 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 ^{3}He 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.

Original language | English (US) |
---|---|

Pages (from-to) | 5647-5650 |

Number of pages | 4 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 55 |

Issue number | 9 |

State | Published - Mar 1 1997 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*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.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 55, no. 9, pp. 5647-5650.

}

TY - JOUR

T1 - Possible equivalence of Feynman's backflow and spin-dependent correlations

AU - Vitiello, S. A.

AU - Schmidt, Kevin

AU - Fantoni, S.

PY - 1997/3/1

Y1 - 1997/3/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0041092258&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041092258&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0041092258

VL - 55

SP - 5647

EP - 5650

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 9

ER -