Tunneling from general Smith–Volterra–Cantor potential

Author:

Narayan Singh Vibhav1ORCID,Umar Mohammad2ORCID,Hasan Mohammad3ORCID,Prasad Mandal Bhabani1ORCID

Affiliation:

1. Department of Physics, Banaras Hindu University 1 , Varanasi 221005, India

2. Indian Institute of Technology 2 , Delhi 110016, India

3. Indian Space Research Organisation 3 , Bangalore 560094, India

Abstract

We study the tunneling problem from the general Smith–Volterra–Cantor (SVC) potential of finite length L characterized by the scaling parameter ρ and stage G. We show that the SVC(ρ) potential of stage G is a special case of the super periodic potential (SPP) of order G. By using the SPP formalism developed by us earlier, we provide the closed form expression of the tunneling probability TG(k) with the help of the q-Pochhammer symbol. The profile of TG(k) with wave vector k is found to saturate with increasing stage G. Very sharp transmission resonances are found to occur in this system, which may find applications in the design of sharp transmission filters.

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

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