### Abstract

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

Number of pages | 12 |

Journal | Journal of Mathematical Physics |

Volume | 55 |

Publication status | Published - 2014 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*55*.

**Non-self-adjoint hamiltonians defined by Riesz bases.** / Bagarello, Fabio; Trapani, Camillo; Inoue; Bagarello.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 55.

}

TY - JOUR

T1 - Non-self-adjoint hamiltonians defined by Riesz bases

AU - Bagarello, Fabio

AU - Trapani, Camillo

AU - Inoue, null

AU - Bagarello, null

PY - 2014

Y1 - 2014

N2 - We discuss some features of non-self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that the eigenvectors form a Riesz basis of Hilbertspace. Among other things, we give conditions under which these Hamiltonians canbe factorized in terms of generalized lowering and raising operators.

AB - We discuss some features of non-self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that the eigenvectors form a Riesz basis of Hilbertspace. Among other things, we give conditions under which these Hamiltonians canbe factorized in terms of generalized lowering and raising operators.

KW - Hamiltonian operators

KW - Riesz bases

UR - http://hdl.handle.net/10447/88223

M3 - Article

VL - 55

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -