### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 1-28 |

Numero di pagine | 28 |

Rivista | Journal of Mathematical Physics |

Volume | 46 |

Stato di pubblicazione | Published - 2005 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cita questo

*Journal of Mathematical Physics*,

*46*, 1-28.

**Some Physical Appearances of Vector Coherent States and CS Related to Degenerate Hamiltonians.** / Bagarello, Fabio; Ali, S. Twareque.

Risultato della ricerca: Article

*Journal of Mathematical Physics*, vol. 46, pagg. 1-28.

}

TY - JOUR

T1 - Some Physical Appearances of Vector Coherent States and CS Related to Degenerate Hamiltonians

AU - Bagarello, Fabio

AU - Ali, S. Twareque

PY - 2005

Y1 - 2005

N2 - In the spirit of some earlier work on the construction of vector coherent states over matrix domains, we compute here such states associated to some physical Hamiltonians. In particular, we construct vector coherent states of the Gazeau-Klauder type. As a related problem, we also suggest a way to handle degeneracies in the Hamiltonian for building coherent states. Specific physical Hamiltonians studied include a single photon mode interacting with a pair of fermions, a Hamiltonian involving a single boson and a single fermion, a charged particle in a three dimensional harmonic force field and the case of a two-dimensional electron placed in a constant magnetic field, orthogonal to the plane which contains the electron. In this last example, which is related to the fractional quantum Hall effect, an interesting modular structure emerges for two underlying von Neumann algebras, related to opposite directions of the magnetic field. This leads to the existence of coherent states built out of KMS states for the system.

AB - In the spirit of some earlier work on the construction of vector coherent states over matrix domains, we compute here such states associated to some physical Hamiltonians. In particular, we construct vector coherent states of the Gazeau-Klauder type. As a related problem, we also suggest a way to handle degeneracies in the Hamiltonian for building coherent states. Specific physical Hamiltonians studied include a single photon mode interacting with a pair of fermions, a Hamiltonian involving a single boson and a single fermion, a charged particle in a three dimensional harmonic force field and the case of a two-dimensional electron placed in a constant magnetic field, orthogonal to the plane which contains the electron. In this last example, which is related to the fractional quantum Hall effect, an interesting modular structure emerges for two underlying von Neumann algebras, related to opposite directions of the magnetic field. This leads to the existence of coherent states built out of KMS states for the system.

UR - http://hdl.handle.net/10447/10487

UR - http://scitation.aip.org/content/aip/journal/jmp/46/5/10.1063/1.1901343

M3 - Article

VL - 46

SP - 1

EP - 28

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -