### Abstract

The concept of phase-space Fisher information, F(q, p), is introduced and a theorem, stating that this quantity is not less than the sum of the position space and the momentum space Fisher information, is proved. Applications are made to the hydrogen-like atoms and the isotropic harmonic oscillator. An uncertainty-like relation for the Fisher information sum is also presented.

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

Pages (from-to) | 132-137 |

Number of pages | 6 |

Journal | Chemical Physics Letters |

Volume | 437 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - Mar 22 2007 |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Atomic and Molecular Physics, and Optics
- Surfaces and Interfaces
- Condensed Matter Physics

### Cite this

*Chemical Physics Letters*,

*437*(1-3), 132-137. https://doi.org/10.1016/j.cplett.2007.01.084

**Phase-space Fisher information.** / Hornyák, I.; Nagy, A.

Research output: Contribution to journal › Article

*Chemical Physics Letters*, vol. 437, no. 1-3, pp. 132-137. https://doi.org/10.1016/j.cplett.2007.01.084

}

TY - JOUR

T1 - Phase-space Fisher information

AU - Hornyák, I.

AU - Nagy, A.

PY - 2007/3/22

Y1 - 2007/3/22

N2 - The concept of phase-space Fisher information, F(q, p), is introduced and a theorem, stating that this quantity is not less than the sum of the position space and the momentum space Fisher information, is proved. Applications are made to the hydrogen-like atoms and the isotropic harmonic oscillator. An uncertainty-like relation for the Fisher information sum is also presented.

AB - The concept of phase-space Fisher information, F(q, p), is introduced and a theorem, stating that this quantity is not less than the sum of the position space and the momentum space Fisher information, is proved. Applications are made to the hydrogen-like atoms and the isotropic harmonic oscillator. An uncertainty-like relation for the Fisher information sum is also presented.

UR - http://www.scopus.com/inward/record.url?scp=33847334980&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33847334980&partnerID=8YFLogxK

U2 - 10.1016/j.cplett.2007.01.084

DO - 10.1016/j.cplett.2007.01.084

M3 - Article

AN - SCOPUS:33847334980

VL - 437

SP - 132

EP - 137

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 1-3

ER -