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Okumura K, Tanimura Y. Unified time‐path approach to the effect of anharmonicity on the molecular vibrational spectroscopy in solution. J Chem Phys 1996. [DOI: 10.1063/1.472589] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Fukuda R, Komachiya M, Yokojima S, Suzuki Y, Okumura K, Inagaki T. Novel Use of Legendre Transformation in Field Theory and Many Particle Systems. ACTA ACUST UNITED AC 1995. [DOI: 10.1143/ptps.121.1] [Citation(s) in RCA: 49] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Abstract
The Legendre transformation is one of the ways to rewrite the theory by small number of selected variables. It leads naturally to the generalized action functional called the effective action and everything starts from this generating functional. It is applied to various problems of physics ranging from the relativistic field theory to the condensed matter physics. The main techniques used here are the on-shell expansion and the inversion method.
The scheme presented in this article is thus a generating functional formalism of the many particle systems.
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Affiliation(s)
- Reijiro Fukuda
- Department of Physics, Faculty of Science and Technology Keio University, Yokohama 223
| | - Masahiro Komachiya
- Department of Physics, Faculty of Science and Technology Keio University, Yokohama 223
| | - Satoshi Yokojima
- Department of Physics, Faculty of Science and Technology Keio University, Yokohama 223
| | - Yoko Suzuki
- Department of Physics, Faculty of Science and Technology Keio University, Yokohama 223
| | - Ko Okumura
- Department of Physics, Faculty of Science and Technology Keio University, Yokohama 223
| | - Takeshi Inagaki
- Department of Physics, Faculty of Science and Technology Keio University, Yokohama 223
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