### Abstract

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

Original language | English |
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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