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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
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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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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  
Keyword(2) London Model  
Keyword(3) Probability Amplitude  
Keyword(4) 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  
3rd Author's Affiliation 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
Date of Issue 2014-03-03 (NLP) 


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