### Abstract

This paper is an extension of our previous work on density functional models of electrons in magnetic fields. A full "classical path" (CP) one-body Green's function is used in the calculation of the kinetic functional and the one particle density. This treatment leads to a more precise expression of the density functional theory in the strong B case, in which magnetic fields are much stronger than the external scalar potential. In the semiclassical limit t → 0, the CP Green's function is checked by an exact solvable system, interactionless electrons in a central harmonic potential and a constant magnetic field. It turns out that the Green's function is correct through the order O(t^{2}). Furthermore, in the high B limit (but still t→0), the leading terms in B of the CP Green's function are the same as those of the exact Green's function in the entire t-expansion series.

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

Pages (from-to) | 4266-4271 |

Number of pages | 6 |

Journal | The Journal of chemical physics |

Volume | 93 |

Issue number | 6 |

State | Published - 1990 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*The Journal of chemical physics*,

*93*(6), 4266-4271.

**Classical path approximation for one-electron Green's function in a magnetic field and the density functional model.** / Li, Shiwei; Percus, Jerome.

Research output: Contribution to journal › Article

*The Journal of chemical physics*, vol. 93, no. 6, pp. 4266-4271.

}

TY - JOUR

T1 - Classical path approximation for one-electron Green's function in a magnetic field and the density functional model

AU - Li, Shiwei

AU - Percus, Jerome

PY - 1990

Y1 - 1990

N2 - This paper is an extension of our previous work on density functional models of electrons in magnetic fields. A full "classical path" (CP) one-body Green's function is used in the calculation of the kinetic functional and the one particle density. This treatment leads to a more precise expression of the density functional theory in the strong B case, in which magnetic fields are much stronger than the external scalar potential. In the semiclassical limit t → 0, the CP Green's function is checked by an exact solvable system, interactionless electrons in a central harmonic potential and a constant magnetic field. It turns out that the Green's function is correct through the order O(t2). Furthermore, in the high B limit (but still t→0), the leading terms in B of the CP Green's function are the same as those of the exact Green's function in the entire t-expansion series.

AB - This paper is an extension of our previous work on density functional models of electrons in magnetic fields. A full "classical path" (CP) one-body Green's function is used in the calculation of the kinetic functional and the one particle density. This treatment leads to a more precise expression of the density functional theory in the strong B case, in which magnetic fields are much stronger than the external scalar potential. In the semiclassical limit t → 0, the CP Green's function is checked by an exact solvable system, interactionless electrons in a central harmonic potential and a constant magnetic field. It turns out that the Green's function is correct through the order O(t2). Furthermore, in the high B limit (but still t→0), the leading terms in B of the CP Green's function are the same as those of the exact Green's function in the entire t-expansion series.

UR - http://www.scopus.com/inward/record.url?scp=36549095978&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549095978&partnerID=8YFLogxK

M3 - Article

VL - 93

SP - 4266

EP - 4271

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 6

ER -