- Turkish Journal of Physics
- Vol: 42 Issue: 2
- Dimension of quantum mechanical path, chain rule, and extension of Landau’s energy straggling method...
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 : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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