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On the Number of Bound States of Semirelativistic Hamiltonian With Dirac Delta Potentials in One Dimension
(National Research Council of Canada, 2018) Erman, Fatih
We study the bound state problem for semirelativistic N attractive Dirac delta-potentials in one dimension. We give a sufficient condition for the Hamiltonian to have N bound states and give an explicit criterion for it.
Citation - WoS: 3
Citation - Scopus: 3
A Perturbative Approach To the Tunneling Phenomena
(Frontiers Media S.A., 2019) Erman, Fatih; Turgut, Osman Teoman
The double-well potential is a good example, where we can compute the splitting in the bound state energy of the system due to the tunneling effect with various methods, namely path-integral, WKB, and instanton calculations. All these methods are non-perturbative and there is a common belief that it is dif fi cult to fi nd the splitting in the energy due to the barrier penetration from a perturbative analysis. However, we will illustrate by explicit examples including singular potentials (e.g., Dirac delta potentials supported by points and curves and their relativistic extensions) it is possible to fi nd the splitting in the bound state energies by developing some kind of perturbation method.

Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection