### Abstract

Original language | English |
---|---|

Pages (from-to) | 103501-1-103501-19 |

Number of pages | 19 |

Journal | Journal of Mathematical Physics |

Volume | 57 |

Publication status | Published - 2016 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*57*, 103501-1-103501-19.

**Intertwining operators for non-self-adjoint hamiltonians and bicoherent states.** / Bagarello, Fabio; Bagarello.

Research output: Contribution to journal › Article

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

}

TY - JOUR

T1 - Intertwining operators for non-self-adjoint hamiltonians and bicoherent states

AU - Bagarello, Fabio

AU - Bagarello, null

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/222445

UR - http://scitation.aip.org/content/aip/journal/jmp

M3 - Article

VL - 57

SP - 103501-1-103501-19

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -