Differentiability And Fractality In Dynamics Of Physical Systems

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.

Dettagli sul prodotto

• Autori: Ioan Merches, Maricel Agop, Ioan (Alexandru Ioan Cuza Univ Merches, Maricel ("Gheorghe Asachi" Technical Univ Agop, Ioan Merches & Maricel Agop, Merches Ioan, Agop Maricel
• Editore: World Scientific Publishing
• Contenuto: Libro
• Forma del prodotto: Copertina rigida
• Data pubblicazione: 16.10.2015
• Categoria: Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Altro
• EAN: 9789814678384
• ISBN: 978-981-46783-8-4
• Categorie: SCIENCE / Physics / Quantum Theory, Astrophysics, MATHEMATICS / Differential Equations / General, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / Astrophysics, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory), Mathematical physics, Differential calculus & equations, Differential calculus and equations