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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2010/428903 |
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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 |
work_keys_str_mv |
AT ezzatgbakhoum dynamicalaspectsofmacroscopicandquantumtransitionsduetocoherencefunctionandtimeseriesevents AT cristiantoma dynamicalaspectsofmacroscopicandquantumtransitionsduetocoherencefunctionandtimeseriesevents |
_version_ |
1716760082336710656 |