### Abstract

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

Number of pages | 17 |

Journal | JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL |

Volume | 52 |

Publication status | Published - 2019 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

### Cite this

**Tridiagonality, supersymmetry and non self-adjoint Hamiltonians.** / Bagarello, Fabio; Gargano, Francesco; Roccati, Federico; Bagarello.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Tridiagonality, supersymmetry and non self-adjoint Hamiltonians

AU - Bagarello, Fabio

AU - Gargano, Francesco

AU - Roccati, Federico

AU - Bagarello, null

PY - 2019

Y1 - 2019

N2 - In this paper we consider some aspects of tridiagonal, non self-adjoint, Hamiltonians and of their supersymmetric counterparts. In particular, the problem of factorization is discussed, and it is shown how the analysis of the eigenstates of these Hamiltonians produce interesting recursion formulas giving rise to biorthogonal families of vectors. Some examples are proposed, and a connection with bi-squeezed states is analyzed.

AB - In this paper we consider some aspects of tridiagonal, non self-adjoint, Hamiltonians and of their supersymmetric counterparts. In particular, the problem of factorization is discussed, and it is shown how the analysis of the eigenstates of these Hamiltonians produce interesting recursion formulas giving rise to biorthogonal families of vectors. Some examples are proposed, and a connection with bi-squeezed states is analyzed.

UR - http://hdl.handle.net/10447/371632

M3 - Article

VL - 52

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

ER -