Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/9036
Title: A perturbative approach to the tunneling phenomena
Authors: Erman, Fatih
Turgut, Osman Teoman
Erman, Fatih
Erman, Fatih
Keywords: Dirac delta potentials
Krein's formulae
Resolvent
Perturbation theory
Tunneling
Dirac delta potentials
Heat kernel
Bound state energy
Issue Date: May-2019
Publisher: Frontiers Media S.A.
Abstract: 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.
URI: https://doi.org/10.3389/fphy.2019.00069
https://hdl.handle.net/11147/9036
ISSN: 2296-424X
2296-424X
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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