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Differentiability And Fractality In Dynamics Of Physical Systems
Ioan MerchesMaricel Agop
出版World Scientific, 2015-08-28
主題Science / Physics / AstrophysicsScience / Physics / Mathematical & ComputationalScience / Physics / Quantum TheoryScience / Space Science / Astronomy
ISBN98146784069789814678407
URLhttp://books.google.com.hk/books?id=NOSiCgAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.