Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events

This study presents the application of dynamical equations able to generate alternating deformations with increasing amplitude and delayed pulses in a certain material medium. It is considered that an external force acts at certain time interval (similar to a time series) upon the material medium in...

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Main Authors: Ezzat G. Bakhoum, Cristian Toma
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/428903
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spelling doaj-0a1f80060d4740f5bf7d895d44d9bf212020-11-24T21:08:38ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472010-01-01201010.1155/2010/428903428903Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series EventsEzzat G. Bakhoum0Cristian Toma1Department of Electrical and Computer Engineering, University of West Florida, 11000 University Parkway, Pensacola, FL 32514, USAFaculty of Applied Sciences, Politechnica University, Hagi-Ghita 81, 060032 Bucharest, RomaniaThis study presents the application of dynamical equations able to generate alternating deformations with increasing amplitude and delayed pulses in a certain material medium. It is considered that an external force acts at certain time interval (similar to a time series) upon the material medium in the same area. Using a specific differential equation (considering nonzero initial values and using a function similar to the coherence function between the external force and the deformations inside the material), it results that modulated amplitude oscillations appear inside the material. If the order of the differential dynamical equation is higher, supplementary aspects as different delayed pulses and multiscale behaviour can be noticed. These features are similar to non-Markov aspects of quantum transitions, and for this reason the mathematical model is suitable for describing both quantum phenomena and macroscopic aspects generated by sequence of pulses. An example of a quantum system, namely, the Hydrogen atom, is discussed.http://dx.doi.org/10.1155/2010/428903
collection DOAJ
language English
format Article
sources DOAJ
author Ezzat G. Bakhoum
Cristian Toma
spellingShingle Ezzat G. Bakhoum
Cristian Toma
Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
Mathematical Problems in Engineering
author_facet Ezzat G. Bakhoum
Cristian Toma
author_sort Ezzat G. Bakhoum
title Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
title_short Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
title_full Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
title_fullStr Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
title_full_unstemmed Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
title_sort dynamical aspects of macroscopic and quantum transitions due to coherence function and time series events
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2010-01-01
description This study presents the application of dynamical equations able to generate alternating deformations with increasing amplitude and delayed pulses in a certain material medium. It is considered that an external force acts at certain time interval (similar to a time series) upon the material medium in the same area. Using a specific differential equation (considering nonzero initial values and using a function similar to the coherence function between the external force and the deformations inside the material), it results that modulated amplitude oscillations appear inside the material. If the order of the differential dynamical equation is higher, supplementary aspects as different delayed pulses and multiscale behaviour can be noticed. These features are similar to non-Markov aspects of quantum transitions, and for this reason the mathematical model is suitable for describing both quantum phenomena and macroscopic aspects generated by sequence of pulses. An example of a quantum system, namely, the Hydrogen atom, is discussed.
url http://dx.doi.org/10.1155/2010/428903
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AT cristiantoma dynamicalaspectsofmacroscopicandquantumtransitionsduetocoherencefunctionandtimeseriesevents
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