Zobrazeno 1 - 10
of 28
pro vyhledávání: '"FATİH ERMAN"'
Publikováno v:
Frontiers in Physics, Vol 8 (2020)
We study the time-dependent Schrödinger equation with finite number of Dirac δ and δ′ potentials with time dependent strengths in one dimension. We obtain the formal solution for generic time dependent strengths and then we study the particular
Externí odkaz:
https://doaj.org/article/cdfeafe9c2394f1f9541fbef392e6982
Autor:
Fatih Erman, Osman Teoman Turgut
Publikováno v:
Frontiers in Physics, Vol 7 (2019)
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
Externí odkaz:
https://doaj.org/article/addf3bb3174c46ac9c373bbf0b021599
Autor:
Fatih Erman, Sema Seymen
Publikováno v:
The European Physical Journal Plus. 137
A direct method for the bound states and the low energy scattering from a circular and a spherical delta shell potentials is proposed and the results are compared with the one using the standard partial wave analysis developed for potentials with rot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87102e979706865c8d928418f96a2213
https://doi.org/10.1140/epjp/s13360-022-02520-1
https://doi.org/10.1140/epjp/s13360-022-02520-1
Publikováno v:
Journal of Mathematical Physics. 63:123505
We study the hybrid type of rank one perturbations in $\mathbb{R}^2$ and $\mathbb{R}^3$, where the perturbation supported by a circle/sphere is considered together with the delta potential supported by a point outside of the circle/sphere. The constr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f6bcd4ecef457c7dae92d626eba686f
https://doi.org/10.1063/5.0090401
https://doi.org/10.1063/5.0090401
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
Consejo Superior de Investigaciones Científicas (CSIC)
Frontiers in Physics, Vol 8 (2020)
Consejo Superior de Investigaciones Científicas (CSIC)
Frontiers in Physics, Vol 8 (2020)
We study the time-dependent Schrodinger equation with finite number of Dirac delta and delta ' potentials with time dependent strengths in one dimension. We obtain the formal solution for generic time dependent strengths and then we study the particu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc36ea6558731f93e00f9b5bcaddb74e
https://doi.org/10.3389/fphy.2020.00065
https://doi.org/10.3389/fphy.2020.00065
Autor:
Fatih Erman
Publikováno v:
Canadian Journal of Physics. 96:1235-1241
We study the bound state problem for semirelativistic N attractive Dirac δ-potentials in one dimension. We give a sufficient condition for the Hamiltonian to have N bound states and give an explicit criterion for it.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24f02516263251363b3109b0e7c2aa75
https://doi.org/10.1139/cjp-2017-0166
https://doi.org/10.1139/cjp-2017-0166
Autor:
Haydar Uncu, Fatih Erman
In this work, we study the scattering problem of the general nonlinear finitely many Dirac delta potentials with complex coupling constants (or opacities in the context of optics) using the Green's function method and then find the bound state energi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f588f2182de4c88ebb7d05077f559980
http://arxiv.org/abs/1911.08923
http://arxiv.org/abs/1911.08923
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname
Integrability, Supersymmetry and Coherent States ISBN: 9783030200862
instname
Integrability, Supersymmetry and Coherent States ISBN: 9783030200862
We show how a proper use of the Lippmann–Schwinger equation simplifies the calculations to obtain scattering states for one dimensional systems perturbed by N Dirac delta equations. Here, we consider two situations. In the former, attractive Dirac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5391d2be762330a1384c3ba45e434b91
https://doi.org/10.1007/978-3-030-20087-9_13
https://doi.org/10.1007/978-3-030-20087-9_13
Autor:
Osman Teoman Turgut, Fatih Erman
Publikováno v:
Frontiers in Physics, Vol 7 (2019)
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 WKB or instanton calculations. All these methods are non-perturbative and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9513138994f9cfd98c7afc0a9df6653
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname
instname
In this paper, we propose a pedagogical presentation of the Lippmann-Schwinger equation as a powerful tool, so as to obtain important scattering information. In particular, we consider a one-dimensional system with a Schrödinger-type free Hamiltonia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7964962009ff5163aef7fac2aaaced8a
https://aperta.ulakbim.gov.tr/record/28907
https://aperta.ulakbim.gov.tr/record/28907