| Presentation | 2014-03-11 Flow of Network Analysis based on from Quantum Field Theory to Markov Transition Process with Adjacency Matrix Takeshi Ozeki, Hiroshi Takahashi, Yosuke Takeda, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Feynman reformulated the quantum mechanics using the principle of least action as the path integral: the solution path is found as a result of quantum interference in the path integral. It can be said that a Markov transition process using an adjacency matrix also flnds a solution as a result of interference of network states. From this recognition, we can formulate network analysis based on multimodal description of Markov transition where the state function is understood as probability amplitude. The modal expansion requires the completeness of modes including non-positive-definite higher-order modes so that Markov state vector should be probability amplitude. The London model for mutual interaction of quantum oscillators continuously evolves to our Markov transition model describing network state by probability amplitude, mathematically. In this sense the series of models evolving from the London model are suitable for analyzing modem network issues in economics, sociology and new worlds of multiple-body coupled system covering various disciplines. It might be said that an evidence of interference in probability amplitude is the sustainable oscillation in disassortative network with chromatic number of two. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | quantum field theory / London model / probability amplitude / measurement |
| Paper # | NLP2013-178 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2014/3/3(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Flow of Network Analysis based on from Quantum Field Theory to Markov Transition Process with Adjacency Matrix |
| Sub Title (in English) | |
| Keyword(1) | quantum field theory |
| Keyword(2) | London model |
| Keyword(3) | probability amplitude |
| Keyword(4) | measurement |
| 1st Author's Name | Takeshi Ozeki |
| 1st Author's Affiliation | Faculty of Science and Technology, Sophia University() |
| 2nd Author's Name | Hiroshi Takahashi |
| 2nd Author's Affiliation | Department of Information and Communication Science, Sophia University |
| 3rd Author's Name | Yosuke Takeda |
| 3rd Author's Affiliation | Department of Economics, Faculty of Economics, Sophia University |
| Date | 2014-03-11 |
| Paper # | NLP2013-178 |
| Volume (vol) | vol.113 |
| Number (no) | 486 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |