### Abstract

We describe a simple model for symmetry breaking of electronic structure configurations of one-electron systems. This model involves generalizing the problem to D-dimensional space and finding the solution at D → ∞, a semiclassical limit which can be solved exactly. The large-D limit model reduces the problem to a variational calculation which is equivalent to mean-field theories of critical phenomena in statistical mechanics. We show that symmetry breaking of electronic structure configurations can be described as standard phase transitions. Rich phase diagrams with multicritical points are reported for both linear and planar one-electron systems.

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

Pages (from-to) | 1483-1493 |

Number of pages | 11 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 30 |

Issue number | 5 |

DOIs | |

Publication status | Published - 7 Mar 1997 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Physics A: Mathematical and General*,

*30*(5), 1483-1493. https://doi.org/10.1088/0305-4470/30/5/016

**Mean field phase diagrams for one-electron molecules.** / Serra, Pablo; Kais, Sabre.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 30, no. 5, pp. 1483-1493. https://doi.org/10.1088/0305-4470/30/5/016

}

TY - JOUR

T1 - Mean field phase diagrams for one-electron molecules

AU - Serra, Pablo

AU - Kais, Sabre

PY - 1997/3/7

Y1 - 1997/3/7

N2 - We describe a simple model for symmetry breaking of electronic structure configurations of one-electron systems. This model involves generalizing the problem to D-dimensional space and finding the solution at D → ∞, a semiclassical limit which can be solved exactly. The large-D limit model reduces the problem to a variational calculation which is equivalent to mean-field theories of critical phenomena in statistical mechanics. We show that symmetry breaking of electronic structure configurations can be described as standard phase transitions. Rich phase diagrams with multicritical points are reported for both linear and planar one-electron systems.

AB - We describe a simple model for symmetry breaking of electronic structure configurations of one-electron systems. This model involves generalizing the problem to D-dimensional space and finding the solution at D → ∞, a semiclassical limit which can be solved exactly. The large-D limit model reduces the problem to a variational calculation which is equivalent to mean-field theories of critical phenomena in statistical mechanics. We show that symmetry breaking of electronic structure configurations can be described as standard phase transitions. Rich phase diagrams with multicritical points are reported for both linear and planar one-electron systems.

UR - http://www.scopus.com/inward/record.url?scp=0031557315&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031557315&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/30/5/016

DO - 10.1088/0305-4470/30/5/016

M3 - Article

VL - 30

SP - 1483

EP - 1493

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 5

ER -