Differentiability and Fractality in Dynamics of Physical Systems
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ISBN13:9789814678384
出版社:World Scientific Pub Co Inc
作者:Ioan Merches; Maricel Agop
出版日:2015/10/31
裝訂/頁數:精裝/300頁
規格:22.9cm*15.9cm*2.5cm (高/寬/厚)
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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.
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