Dimension of quantum mechanical path, chain rule, and extension of Landau’s energy straggling method using F α -calculus

Authors : Saleh ASHRAFI, Ali Khalili GOLMANKHANEH

Pages : 104-115

View : 11 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :F α Fα -calculus was recently presented for fractals. We show that the F α Fα -derivative satisfies the chain rule and affirms that the dimension of a quantum mechanical path is two. F α Fα -calculus allows us to extend quantum mechanics to fractal curves. To show the applicability of F α Fα -calculus, we study the fractal model of a particle in a box. F α Fα -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.
Keywords : F calculus, fractal quantum paths, staircase function, energy straggling