World Scientific Publishing Company
Differentiability and Fractality in Dynamics of Physical Systems
Product Code:
9789814678384
ISBN13:
9789814678384
Condition:
New
$139.53
Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed. The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits. Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications -- fractal atom, potential well, free particle, etc. -- are discussed.
| Author: Ioan Merches, Maricel Agop |
| Publisher: World Scientific Publishing Company |
| Publication Date: Oct 31, 2015 |
| Number of Pages: 282 pages |
| Language: English |
| Binding: Hardcover |
| ISBN-10: 9814678384 |
| ISBN-13: 9789814678384 |
Differentiability and Fractality in Dynamics of Physical Systems
$139.53
Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed. The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits. Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications -- fractal atom, potential well, free particle, etc. -- are discussed.
| Author: Ioan Merches, Maricel Agop |
| Publisher: World Scientific Publishing Company |
| Publication Date: Oct 31, 2015 |
| Number of Pages: 282 pages |
| Language: English |
| Binding: Hardcover |
| ISBN-10: 9814678384 |
| ISBN-13: 9789814678384 |
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