### Abstract

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

Pages (from-to) | 013511-1-013511-14 |

Number of pages | 14 |

Journal | Journal of Mathematical Physics |

Volume | 48 |

Publication status | Published - 2007 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**Bounded version of bosonic creation and annihilation operators and their related {em quasi-coherent states}.** / Bagarello, Fabio.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 48, pp. 013511-1-013511-14.

}

TY - JOUR

T1 - Bounded version of bosonic creation and annihilation operators and their related {em quasi-coherent states}

AU - Bagarello, Fabio

PY - 2007

Y1 - 2007

N2 - Coherent states are usually defined as eigenstates of an unbounded operator, the so called annihilation operator. We propose here possible constructions of quasicoherent states, which turn out to be quasieigenstate of a bounded operator related to an annihilationlike operator. We use this bounded operator to construct a sort of modified harmonic oscillator and we analyze the dynamics of this oscillator from an algebraic point of view

AB - Coherent states are usually defined as eigenstates of an unbounded operator, the so called annihilation operator. We propose here possible constructions of quasicoherent states, which turn out to be quasieigenstate of a bounded operator related to an annihilationlike operator. We use this bounded operator to construct a sort of modified harmonic oscillator and we analyze the dynamics of this oscillator from an algebraic point of view

UR - http://hdl.handle.net/10447/9966

UR - http://scitation.aip.org/content/aip/journal/jmp/48/1/10.1063/1.2423230

M3 - Article

VL - 48

SP - 013511-1-013511-14

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -