![](/images/graphics-bg.png)
Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
Joint Authors
Bakhoum, Ezzat G.
Toma, Cristian
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-21
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Bakhoum, Ezzat G.& Toma, Cristian. 2010. Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-471518
Modern Language Association (MLA)
Bakhoum, Ezzat G.& Toma, Cristian. Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events. Mathematical Problems in Engineering No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-471518
American Medical Association (AMA)
Bakhoum, Ezzat G.& Toma, Cristian. Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-471518
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471518