### Abstract

This paper is devoted to the construction of what we will call exactly solvable models, i.e., of quantum mechanical systems described by an Hamiltonian H whose eigenvalues and eigenvectors can be explicitly constructed out of some minimal ingredients. In particular, motivated by PT-quantum mechanics, we will not insist on any self-adjointness feature of the Hamiltonians considered in our construction. We also introduce the so-called bicoherent states, we analyze some of their properties and we show how they can be used for quantizing a system. Some examples, both in finite and in infinite-dimensional Hilbert spaces, are discussed.

Lingua originale | English |
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pagine (da-a) | 103501-1-103501-19 |

Numero di pagine | 19 |

Rivista | Journal of Mathematical Physics |

Volume | 57 |

Stato di pubblicazione | Published - 2016 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cita questo

Bagarello, F., & Bagarello (2016). Intertwining operators for non-self-adjoint hamiltonians and bicoherent states.

*Journal of Mathematical Physics*,*57*, 103501-1-103501-19.