### 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) |
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Pages (from-to) | 4266-4271 |

Number of pages | 6 |

Journal | The Journal of Chemical Physics |

Volume | 93 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1990 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

### Cite this

*The Journal of Chemical Physics*,

*93*(6), 4266-4271. https://doi.org/10.1063/1.458759