Relations | Name | matrix elements |
---|---|---|

$A = A^{T}$ | symmetric | $a_{ij} = a_{ji}$ |

$A = \\left (A^{T} \\right )^{-1}$ | real orthogonal | $\\sum_k a_{ik} a_{jk} = \\sum_k a_{ki} a_{kj} = \\delta_{ij}$ |

$A = A^{ * }$ | real matrix | $a_{ij} = a_{ij}^{ * }$ |

$A = A^{\\dagger}$ | hermitian | $a_{ij} = a_{ji}^{ * }$ |

$A = \\left (A^{\\dagger} \\right )^{-1}$ | unitary | $\\sum_k a_{ik} a_{jk}^{ * } = \\sum_k a_{ki}^{ * } a_{kj} = \\delta_{ij}$ |

Quantum numbers | Energy [MeV] |
---|---|

$0s_{1/2}^{\\pi}$ | -40.4602 |

$0s_{1/2}^{\\pi}$ | -40.4602 |

$0s_{1/2}^{\\nu}$ | -40.6426 |

$0s_{1/2}^{\\nu}$ | -40.6426 |

$0p_{1/2}^{\\pi}$ | -6.7133 |

$0p_{1/2}^{\\pi}$ | -6.7133 |

$0p_{1/2}^{\\nu}$ | -6.8403 |

$0p_{1/2}^{\\nu}$ | -6.8403 |

$0p_{3/2}^{\\pi}$ | -11.5886 |

$0p_{3/2}^{\\pi}$ | -11.5886 |

$0p_{3/2}^{\\pi}$ | -11.5886 |

$0p_{3/2}^{\\pi}$ | -11.5886 |

$0p_{3/2}^{\\nu}$ | -11.7201 |

$0p_{3/2}^{\\nu}$ | -11.7201 |

$0p_{3/2}^{\\nu}$ | -11.7201 |

$0p_{3/2}^{\\nu}$ | -11.7201 |

$0d_{5/2}^{\\pi}$ | 18.7589 |

$0d_{5/2}^{\\nu}$ | 18.8082 |