Multiplicity of ground states in quantum field models: Applications of asymptotic fields

研究成果: ジャーナルへの寄稿記事

13 引用 (Scopus)

抄録

Ground states of Hamiltonian H of quantum field models are investigated. The infimum of the spectrum of H is in the edge of its essential spectrum. By means of the asymptotic field theory, we give a necessary and sufficient condition for that the expectation value of the number operator of ground states is finite, from which we give an upper bound of the multiplicity of ground states of H. Typical examples are massless GSB models and the Pauli-Fierz model with spin 1/2.

元の言語英語
ページ(範囲)431-470
ページ数40
ジャーナルJournal of Functional Analysis
224
発行部数2
DOI
出版物ステータス出版済み - 7 15 2005

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Quantum Fields
Ground State
Multiplicity
Essential Spectrum
Asymptotic Theory
Field Theory
Model
Upper bound
Necessary Conditions
Sufficient Conditions
Operator

All Science Journal Classification (ASJC) codes

  • Analysis

これを引用

Multiplicity of ground states in quantum field models : Applications of asymptotic fields. / Hiroshima, Fumio.

:: Journal of Functional Analysis, 巻 224, 番号 2, 15.07.2005, p. 431-470.

研究成果: ジャーナルへの寄稿記事

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