### Abstract

A recently developed perturbation theory for solving self-consistent field equations is applied to the hydrogen atom in a strong magnetic field. This system has been extensively studied using other methods and is therefore a good test case for the new method. The perturbation theory yields summable large-order expansions. The accuracy of the self-consistent field approximation varies according to field strength and quantum state but is often higher than the accuracy from adiabatic approximations. A new derivation is presented for the asymptotic adiabatic approximation, the most useful of the adiabatic approaches. This derivation uses semiclassical perturbation theory without invoking an adiabatic hypothesis.

Original language | English |
---|---|

Pages (from-to) | 183-192 |

Number of pages | 10 |

Journal | International Journal of Quantum Chemistry |

Volume | 69 |

Issue number | 2 |

Publication status | Published - 1998 |

Externally published | Yes |

### Fingerprint

### Keywords

- Adiabatic approximations
- Dimensional perturbation theory
- Hydrogen atom in magnetic field
- Self-consistent field theory
- Semiclassical perturbation theory

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry

### Cite this

*International Journal of Quantum Chemistry*,

*69*(2), 183-192.

**Semiclassical self-consistent field perturbation theory for the hydrogen atom in a magnetic field.** / Sergeev, Alexei V.; Goodson, David Z.

Research output: Contribution to journal › Article

*International Journal of Quantum Chemistry*, vol. 69, no. 2, pp. 183-192.

}

TY - JOUR

T1 - Semiclassical self-consistent field perturbation theory for the hydrogen atom in a magnetic field

AU - Sergeev, Alexei V.

AU - Goodson, David Z.

PY - 1998

Y1 - 1998

N2 - A recently developed perturbation theory for solving self-consistent field equations is applied to the hydrogen atom in a strong magnetic field. This system has been extensively studied using other methods and is therefore a good test case for the new method. The perturbation theory yields summable large-order expansions. The accuracy of the self-consistent field approximation varies according to field strength and quantum state but is often higher than the accuracy from adiabatic approximations. A new derivation is presented for the asymptotic adiabatic approximation, the most useful of the adiabatic approaches. This derivation uses semiclassical perturbation theory without invoking an adiabatic hypothesis.

AB - A recently developed perturbation theory for solving self-consistent field equations is applied to the hydrogen atom in a strong magnetic field. This system has been extensively studied using other methods and is therefore a good test case for the new method. The perturbation theory yields summable large-order expansions. The accuracy of the self-consistent field approximation varies according to field strength and quantum state but is often higher than the accuracy from adiabatic approximations. A new derivation is presented for the asymptotic adiabatic approximation, the most useful of the adiabatic approaches. This derivation uses semiclassical perturbation theory without invoking an adiabatic hypothesis.

KW - Adiabatic approximations

KW - Dimensional perturbation theory

KW - Hydrogen atom in magnetic field

KW - Self-consistent field theory

KW - Semiclassical perturbation theory

UR - http://www.scopus.com/inward/record.url?scp=3843069690&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3843069690&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:3843069690

VL - 69

SP - 183

EP - 192

JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

SN - 0020-7608

IS - 2

ER -