### Abstract

For any observable in an equilibrium quantum system in a finite volume, we show a method of deriving Mori′s memory kernel equation, which consists of three components, Mori′s frequency, memory function, and fluctuation, i.e., we give a concrete mathematical expression for the three components in terms of an autocorrelation function of the observable.

Original language | English |
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Pages (from-to) | 354-383 |

Number of pages | 30 |

Journal | Annals of Physics |

Volume | 229 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 1 1994 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

**Mori′s memory kernel equation in equilibrium quantum systems in finite volumes.** / Hirokawa, Masao.

Research output: Contribution to journal › Article

*Annals of Physics*, vol. 229, no. 2, pp. 354-383. https://doi.org/10.1006/aphy.1994.1011

}

TY - JOUR

T1 - Mori′s memory kernel equation in equilibrium quantum systems in finite volumes

AU - Hirokawa, Masao

PY - 1994/2/1

Y1 - 1994/2/1

N2 - For any observable in an equilibrium quantum system in a finite volume, we show a method of deriving Mori′s memory kernel equation, which consists of three components, Mori′s frequency, memory function, and fluctuation, i.e., we give a concrete mathematical expression for the three components in terms of an autocorrelation function of the observable.

AB - For any observable in an equilibrium quantum system in a finite volume, we show a method of deriving Mori′s memory kernel equation, which consists of three components, Mori′s frequency, memory function, and fluctuation, i.e., we give a concrete mathematical expression for the three components in terms of an autocorrelation function of the observable.

UR - http://www.scopus.com/inward/record.url?scp=0346469742&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346469742&partnerID=8YFLogxK

U2 - 10.1006/aphy.1994.1011

DO - 10.1006/aphy.1994.1011

M3 - Article

VL - 229

SP - 354

EP - 383

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

IS - 2

ER -