Rigorous construction of liouville spaces and thermo field dynamics for bosonic systems in mathematics

研究成果: Contribution to journalArticle査読

7 被引用数 (Scopus)

抄録

We clarify the mathematical difficulty when for bosonic systems (i.e., unbounded operators) we rigorously construct a Liouville space, in which a Liouville operator acts, associated with a Hamiltonian. Including unbounded and non-quasi-free cases. We give thermo field dynamics as an expression equivalent to the Liouville space and operator. We investigate the mathematical properties of them, and thus we clarify the mathematical properties of the thermal state.

本文言語英語
ページ(範囲)1-36
ページ数36
ジャーナルAnnals of Physics
223
1
DOI
出版ステータス出版済み - 4 1993
外部発表はい

All Science Journal Classification (ASJC) codes

  • 物理学および天文学(全般)

フィンガープリント

「Rigorous construction of liouville spaces and thermo field dynamics for bosonic systems in mathematics」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル