Kinetic energy and the Born-Green-Yvon method for fermion quantum fluids

C. E. Campbell; K. E. Kürten; E. Krotscheck

doi:10.1103/PhysRevB.25.1633

Kinetic energy and the Born-Green-Yvon method for fermion quantum fluids

C. E. Campbell
, K. E. Kürten
, E. Krotscheck

Physics

University of Minnesota Twin Cities
University of Cologne

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.

Original language	English
Pages (from-to)	1633-1654
Number of pages	22
Journal	Physical Review B-Condensed Matter
Volume	25
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.25.1633
State	Published - 1982

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10.1103/PhysRevB.25.1633

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abstract = "The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.",

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AU - Krotscheck, E.

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N2 - The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.

AB - The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.

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JO - Physical Review B-Condensed Matter

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ER -

Kinetic energy and the Born-Green-Yvon method for fermion quantum fluids

Abstract

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