Scattering Theory for 2N Parameter Models of Finitely Many Relativistic δ-Sphere and δ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics
We study scattering theory for 2N parameter models of finitely many relativistic δ-sphere and δ-sphere plus Coulomb interactions. We provide the mathematical definitions of the Hamiltonians, solve the resolvent equations, and compute the nonrelativistic limits for both models. We obtain new results...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/5825397 |
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| _version_ | 1832555148999655424 |
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| author | A. Vyabandi J. Shabani |
| author_facet | A. Vyabandi J. Shabani |
| author_sort | A. Vyabandi |
| collection | DOAJ |
| description | We study scattering theory for 2N parameter models of finitely many relativistic δ-sphere and δ-sphere plus Coulomb interactions. We provide the mathematical definitions of the Hamiltonians, solve the resolvent equations, and compute the nonrelativistic limits for both models. We obtain new results related to spectral properties and scattering data. |
| format | Article |
| id | doaj-art-4d77ae6bd9664bc586c915429ebc904d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4d77ae6bd9664bc586c915429ebc904d2025-02-03T05:49:29ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/58253975825397Scattering Theory for 2N Parameter Models of Finitely Many Relativistic δ-Sphere and δ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum MechanicsA. Vyabandi0J. Shabani1Université du Burundi, Institut de Pédagogie Appliquée (IPA), B.P. 5223 Mutanga I Bujumbura, BurundiDoctoral School and Faculty of Sciences, University of Burundi, BurundiWe study scattering theory for 2N parameter models of finitely many relativistic δ-sphere and δ-sphere plus Coulomb interactions. We provide the mathematical definitions of the Hamiltonians, solve the resolvent equations, and compute the nonrelativistic limits for both models. We obtain new results related to spectral properties and scattering data.http://dx.doi.org/10.1155/2020/5825397 |
| spellingShingle | A. Vyabandi J. Shabani Scattering Theory for 2N Parameter Models of Finitely Many Relativistic δ-Sphere and δ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics Advances in Mathematical Physics |
| title | Scattering Theory for 2N Parameter Models of Finitely Many Relativistic δ-Sphere and δ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics |
| title_full | Scattering Theory for 2N Parameter Models of Finitely Many Relativistic δ-Sphere and δ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics |
| title_fullStr | Scattering Theory for 2N Parameter Models of Finitely Many Relativistic δ-Sphere and δ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics |
| title_full_unstemmed | Scattering Theory for 2N Parameter Models of Finitely Many Relativistic δ-Sphere and δ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics |
| title_short | Scattering Theory for 2N Parameter Models of Finitely Many Relativistic δ-Sphere and δ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics |
| title_sort | scattering theory for 2n parameter models of finitely many relativistic δ sphere and δ sphere plus coulomb interactions supported by concentric spheres in quantum mechanics |
| url | http://dx.doi.org/10.1155/2020/5825397 |
| work_keys_str_mv | AT avyabandi scatteringtheoryfor2nparametermodelsoffinitelymanyrelativisticdsphereanddspherepluscoulombinteractionssupportedbyconcentricspheresinquantummechanics AT jshabani scatteringtheoryfor2nparametermodelsoffinitelymanyrelativisticdsphereanddspherepluscoulombinteractionssupportedbyconcentricspheresinquantummechanics |