In Parabolic Cylindrical Coordinates, the Scale Factors are
,
and the separation functions are
, giving Stäckel Determinant of . The Helmholtz Differential Equation is

(1) |

(2) |

(3) |

(4) |

(5) |

(6) |

(7) |

(8) |

(9) |

(10) |

(11) | |||

(12) |

so

(13) |

(14) |

**References**

Morse, P. M. and Feshbach, H. *Methods of Theoretical Physics, Part I.* New York:
McGraw-Hill, pp. 515 and 658, 1953.

© 1996-9

1999-05-25