A Note on the Interaction Representation for the Non-Linear Field of the Chiral Dynamics Type
スポンサーリンク
概要
- 論文の詳細を見る
Starting from the energy operator in the Heisenberg representation which is invariant under an internal group in the sense of the non-linear realization of a group on its subgroup, the Hamiltonian density in the interaction representation is derived by the most elementary method that is convenient to keep the order of operators. Then the integrability condition of the Tomonaga-Schwinger equation is confirmed, and the applicability of Matthews' theorem to our system is discussed. The normal dependent part of the Hamiltonian density is composed of two parts: One is necessary to make the normal independent part integrable, and the other depends on the order of operators in the energy operator. Provided the order of operators in the energy operator is symmetrized, the second part does not come out and Matthews' theorem does hold. The connection of the order of operators and the invariance of the energy operator under the internal group is also discussed.
- 理論物理学刊行会の論文
- 1972-01-25
著者
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Sasaki Takashi
Department Of Bioregulation. Institute For Medical Genetics Kumamoto University Medical School
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Yoshikawa Koji
Department Of Ophthalmology Hokkaido University School Of Medicine
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Okabayashi Takao
Department Of Physics University Of Tokyo
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Sasaki Takashi
Department Of Applied Biological Chemistry Graduate School Of Agricultural And Life Sciences The Uni
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Sasaki Takashi
Department Of Physics University Of Tokyo
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YOSHIKAWA Koji
Department of Infectious Diseases and Infection Control, The Jikei University School of Medicine
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YOSHIKAWA Koji
Department of Physics, University of Tokyo
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SASAKI Takashi
Department of Physics, University of Tokyo
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Yoshikawa Koji
Department of Infectious Disease and Infection Control, The Jikei University School of Medicine, Japan
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