Paper Abstract and Keywords |
Presentation |
2014-03-11 10:25
Flow of Network Analysis based on from Quantum Field Theory to Markov Transition Process with Adjacency Matrix
-- Multimodal Description with Probability Amplitude -- Takeshi Ozeki, Hiroshi Takahashi, Yosuke Takeda (Sophia Univ.) NLP2013-178 |
Abstract |
(in Japanese) |
(See Japanese page) |
(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 finds 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 modern 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) |
(in English) |
Quantum Field Theory / London Model / Probability Amplitude / Measurement / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 113, no. 486, NLP2013-178, pp. 79-84, March 2014. |
Paper # |
NLP2013-178 |
Date of Issue |
2014-03-03 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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NLP2013-178 |
Conference Information |
Committee |
NLP |
Conference Date |
2014-03-10 - 2014-03-11 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Sophia University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
General |
Paper Information |
Registration To |
NLP |
Conference Code |
2014-03-NLP |
Language |
Japanese |
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) |
Multimodal Description with Probability Amplitude |
Keyword(1) |
Quantum Field Theory |
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London Model |
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Probability Amplitude |
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Measurement |
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1st Author's Name |
Takeshi Ozeki |
1st Author's Affiliation |
Sophia University (Sophia Univ.) |
2nd Author's Name |
Hiroshi Takahashi |
2nd Author's Affiliation |
Sophia University (Sophia Univ.) |
3rd Author's Name |
Yosuke Takeda |
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Sophia University (Sophia Univ.) |
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Speaker |
Author-1 |
Date Time |
2014-03-11 10:25:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2013-178 |
Volume (vol) |
vol.113 |
Number (no) |
no.486 |
Page |
pp.79-84 |
#Pages |
6 |
Date of Issue |
2014-03-03 (NLP) |