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Journal | Journal of Physics A: Mathematical and General |
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Date | Published - 6 Jan 2006 |

Issue number | 1 |

Volume | 39 |

Number of pages | 10 |

Pages (from-to) | 235-245 |

Original language | English |

A non-Hermitian operator does not necessarily have a complete set of eigenstates, contrary to a Hermitian one. An algorithm is presented which allows one to decide whether the eigenstates of a given PT-invariant operator on a finite-dimensional space are complete or not. In other words, the algorithm checks whether a given PT-symmetric matrix is diagonalizable. The procedure neither requires to calculate any single eigenvalue nor any numerical approximation.

© 2006 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Physics A: Mathematical and General.

- SYMMETRIC QUANTUM-MECHANICS, OPERATOR

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