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{ "item_title" : "Differentiability & Fractality in Dynamics of Physical Sys", "item_author" : [" Merches Ioan "], "item_description" : "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.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/9/81/467/838/9814678384_b.jpg", "price_data" : { "retail_price" : "132.00", "online_price" : "132.00", "our_price" : "132.00", "club_price" : "132.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Differentiability & Fractality in Dynamics of Physical Sys|Merches Ioan

Differentiability & Fractality in Dynamics of Physical Sys

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Overview

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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Details

  • ISBN-13: 9789814678384
  • ISBN-10: 9814678384
  • Publisher: World Scientific Publishing Company
  • Publish Date: October 2015
  • Dimensions: 9.1 x 6.1 x 0.8 inches
  • Shipping Weight: 1.2 pounds
  • Page Count: 300

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