Title | **Closed form solution for a double quantum well using Gröbner basis** |

Author(s) | Didier Bondyfalat, Alexander A. Razborov |

Type | Article in Journal |

Abstract | Analytical expressions for the spectrum, eigenfunctions and dipole matrix elements of a square double quantum well (DQW) are presented for a general case when the potential in different regions of the DQW has different heights and the effective masses are different. This was achieved by using a Gröbner basis algorithm that allowed us to disentangle the resulting coupled polynomials without explicitly solving the transcendental eigenvalue equation. |

URL |
http://stacks.iop.org/1402-4896/84/i=1/a=015703 |

Language | English |

Journal | Physica Scripta |

Volume | 84 |

Number | 1 |

Pages | 015703 |

Year | 2011 |

Edition | 0 |

Translation |
No |

Refereed |
No |