### Abstract

We have recently proposed a strategy to produce, starting from a given Hamiltonian h1 and a certain operator x for which [ h1,xx†]=0 and x†x is invertible, a second Hamiltonian h2 with the same eigenvalues as h1 and whose eigenvectors are related to those of h1 by x†. Here we extend this procedure to build up a second Hamiltonian, whose eigenvalues are different from those of h1, and whose eigenvectors are still related as before. This new procedure is also extended to crypto-hermitian Hamiltonians.

Original language | English |
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Pages (from-to) | 70-74 |

Number of pages | 5 |

Journal | PHYSICS LETTERS A |

Volume | 376 |

Publication status | Published - 2011 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)