### Abstract

The characterization of coherent states as the quantum states that split into two uncorrelated beams is considered. The characterization leads to the study of coherent states at finite temperature-thermal coherent states (TCS's). These TCS's are defined within the formalism of thermo field dynamics (TFD). TFD allows a generalization of the uncertainty relation that accounts for both thermal and quantum fluctuations. The TCS is shown to be a minimal state for the generalized uncertainty relation.

Original language | English |
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Pages (from-to) | 2883-2890 |

Number of pages | 8 |

Journal | Journal of Mathematical Physics |

Volume | 30 |

Issue number | 12 |

Publication status | Published - 1989 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*30*(12), 2883-2890.

**Coherent and thermal coherent state.** / Mann, A.; Revzen, M.; Nakamura, K.; Umezawa, H.; Yamanaka, Yoshiya.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 30, no. 12, pp. 2883-2890.

}

TY - JOUR

T1 - Coherent and thermal coherent state

AU - Mann, A.

AU - Revzen, M.

AU - Nakamura, K.

AU - Umezawa, H.

AU - Yamanaka, Yoshiya

PY - 1989

Y1 - 1989

N2 - The characterization of coherent states as the quantum states that split into two uncorrelated beams is considered. The characterization leads to the study of coherent states at finite temperature-thermal coherent states (TCS's). These TCS's are defined within the formalism of thermo field dynamics (TFD). TFD allows a generalization of the uncertainty relation that accounts for both thermal and quantum fluctuations. The TCS is shown to be a minimal state for the generalized uncertainty relation.

AB - The characterization of coherent states as the quantum states that split into two uncorrelated beams is considered. The characterization leads to the study of coherent states at finite temperature-thermal coherent states (TCS's). These TCS's are defined within the formalism of thermo field dynamics (TFD). TFD allows a generalization of the uncertainty relation that accounts for both thermal and quantum fluctuations. The TCS is shown to be a minimal state for the generalized uncertainty relation.

UR - http://www.scopus.com/inward/record.url?scp=36549104613&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549104613&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36549104613

VL - 30

SP - 2883

EP - 2890

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 12

ER -