Fα F α -calculus was recently presented for fractals. We show that the Fα F α -derivative satisfies the chain rule and affirms that the dimension of a quantum mechanical path is two. Fα F α -calculus allows us to extend quantum mechanics to fractal curves. To show the applicability of Fα F α -calculus, we study the fractal model of a particle in a box. Fα F α -calculus is suitable for describing the motion of particles with a fractal route through matter. In addition, we extend Landau's energy straggling method of charged particles to fractals.
Alan : Fen Bilimleri ve Matematik
Dergi Türü : Uluslararası
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