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

Saleh ASHRAFI; Ali Khalili GOLMANKHANEH

Article Details

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

Publisher:

TUBITAK

Main Topics:

Applied physics

Journal:

Turkish Journal of Physics 2018 Vol.42 Issue 2, pp.104-115

Document Type:

Article

Publication Date:

4/2018

Document Language:

English

Document ID (Org No.):

2000759412

Frequency:

Bimonthly

eISSN:

1303-6122

pISSN:

1300-0101

Abstract:

 


                        FαFα-calculus was recently presented   for fractals. We show that  the  FαFα-derivative satisfies the chain rule and  affirms
  that the dimension of a
quantum mechanical path is two. FαFα-calculus allows us to
extend quantum mechanics to  fractal curves. To show the
applicability of  FαFα-calculus, we study the fractal model of
a particle in a box.    FαFα-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.
                    

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Article Details

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

Publisher: TUBITAK

Main Topics: Applied physics

Journal: Turkish Journal of Physics 2018 Vol.42 Issue 2, pp.104-115

Document Type: Article

Publication Date: 4/2018

Document Language: English

Document ID (Org No.): 2000759412

Frequency: Bimonthly

eISSN: 1303-6122

pISSN: 1300-0101

Issues

Authors:

Saleh ASHRAFI | Ali Khalili GOLMANKHANEH

Publisher:

TUBITAK

Main Topics:

Applied physics

Journal:

Turkish Journal of Physics 2018 Vol.42 Issue 2, pp.104-115

Document Type:

Article

Publication Date:

4/2018

Document Language:

English

Document ID (Org No.):

2000759412

Frequency:

Bimonthly

eISSN:

1303-6122

pISSN:

1300-0101