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

Masao Hirokawa

doi:10.1006/aphy.1993.1025

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

Masao Hirokawa

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1-36
Number of pages	36
Journal	Annals of Physics
Volume	223
Issue number	1
DOIs	https://doi.org/10.1006/aphy.1993.1025
Publication status	Published - Apr 1993
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1006/aphy.1993.1025

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abstract = "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.",

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

Abstract

All Science Journal Classification (ASJC) codes

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