### Abstract

In the preceding paper (arXiv: 0710.2724 [quant-ph]) we have constructed the general solution for the master equation of quantum damped harmonic oscillator, which is given by the complicated infinite series in the operator algebra level. In this paper we give the explicit and compact forms to solutions (density operators) for some initial values. In particular, the compact one for the initial value based on a coherent state is given, which has not been given as far as we know. Moreover, some related problems are presented.

Original language | English |
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Pages (from-to) | 225-231 |

Number of pages | 7 |

Journal | International Journal of Geometric Methods in Modern Physics |

Volume | 6 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2009 |

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### Keywords

- Coherent state
- Density operator
- Initial value
- Quantum damped harmonic oscillator
- Squeezed state

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

**General solution of the quantum damped harmonic oscillator II : Some examples.** / Fugii, Kazuyuki; Suzuki, Tatsuo.

Research output: Contribution to journal › Article

*International Journal of Geometric Methods in Modern Physics*, vol. 6, no. 2, pp. 225-231. https://doi.org/10.1142/S0219887809003497

}

TY - JOUR

T1 - General solution of the quantum damped harmonic oscillator II

T2 - Some examples

AU - Fugii, Kazuyuki

AU - Suzuki, Tatsuo

PY - 2009

Y1 - 2009

N2 - In the preceding paper (arXiv: 0710.2724 [quant-ph]) we have constructed the general solution for the master equation of quantum damped harmonic oscillator, which is given by the complicated infinite series in the operator algebra level. In this paper we give the explicit and compact forms to solutions (density operators) for some initial values. In particular, the compact one for the initial value based on a coherent state is given, which has not been given as far as we know. Moreover, some related problems are presented.

AB - In the preceding paper (arXiv: 0710.2724 [quant-ph]) we have constructed the general solution for the master equation of quantum damped harmonic oscillator, which is given by the complicated infinite series in the operator algebra level. In this paper we give the explicit and compact forms to solutions (density operators) for some initial values. In particular, the compact one for the initial value based on a coherent state is given, which has not been given as far as we know. Moreover, some related problems are presented.

KW - Coherent state

KW - Density operator

KW - Initial value

KW - Quantum damped harmonic oscillator

KW - Squeezed state

UR - http://www.scopus.com/inward/record.url?scp=65449173887&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65449173887&partnerID=8YFLogxK

U2 - 10.1142/S0219887809003497

DO - 10.1142/S0219887809003497

M3 - Article

VL - 6

SP - 225

EP - 231

JO - International Journal of Geometric Methods in Modern Physics

JF - International Journal of Geometric Methods in Modern Physics

SN - 0219-8878

IS - 2

ER -