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dc.contributor.authorErman, Fatih
dc.contributor.authorGadella, Manuel
dc.contributor.authorUncu, Haydar
dc.date.accessioned2019-02-06T06:37:46Z
dc.date.available2019-02-06T06:37:46Z
dc.date.issued2018-03
dc.identifier.citationErman, F., Gadella, M., and Uncu, H. (2018). On scattering from the one-dimensional multiple Dirac delta potentials. European Journal of Physics, 39(3). doi:10.1088/1361-6404/aaa8a3en_US
dc.identifier.issn0143-0807
dc.identifier.urihttp://doi.org/10.1088/1361-6404/aaa8a3
dc.identifier.urihttp://hdl.handle.net/11147/7092
dc.description.abstractIn 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 Hamiltonian decorated with a sequence of N attractive Dirac delta interactions. We first write the Lippmann-Schwinger equation for the system and then solve it explicitly in terms of an N × N matrix. Then, we discuss the reflection and the transmission coefficients for an arbitrary number of centres and study the threshold anomaly for the N = 2 and N = 4 cases. We also study further features like the quantum metastable states and resonances, including their corresponding Gamow functions and virtual or antibound states. The use of the Lippmann-Schwinger equation simplifies our analysis enormously and gives exact results for an arbitrary number of Dirac delta potentials.en_US
dc.description.sponsorshipConsejería de Educación, Junta de Castilla y León (VA057U16); Ministerio de Economía y Competitividad (MTM2014-57129-C2-1-P); TUBITAKen_US
dc.language.isoengen_US
dc.publisherInstitute of Physics Publishingen_US
dc.relation.isversionof10.1088/1361-6404/aaa8a3en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDirac delta potentialsen_US
dc.subjectGamow statesen_US
dc.subjectLippmann-Schwinger equationen_US
dc.subjectResonancesen_US
dc.subjectThreshold anomaliesen_US
dc.subjectVirtual stateen_US
dc.titleOn scattering from the one-dimensional multiple Dirac delta potentialsen_US
dc.typearticleen_US
dc.contributor.authorIDTR19429en_US
dc.contributor.institutionauthorErman, Fatih
dc.relation.journalEuropean Journal of Physicsen_US
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume39en_US
dc.identifier.issue3en_US
dc.identifier.wosWOS:000427939500001
dc.identifier.scopusSCOPUS:2-s2.0-85045739423
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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