The Confined System Approximation for Solving Non-Separable Potentials in Three Dimensions
| dc.contributor.author | Taşeli, H. | |
| dc.contributor.author | Eid, R. | |
| dc.date.accessioned | 2023-01-27T11:28:12Z | |
| dc.date.accessioned | 2025-09-18T13:26:33Z | |
| dc.date.available | 2023-01-27T11:28:12Z | |
| dc.date.available | 2025-09-18T13:26:33Z | |
| dc.date.issued | 1998 | |
| dc.description.abstract | The Hubert space L2(ℝ3), to which the wavefunction of the three-dimensional Schrödinger equation belongs, has been replaced by L2(Ω), where Ω is a bounded region. The energy spectrum of the usual unbounded system is then determined by showing that the Dirichlet and Neumann problems in L2(Ω) generate upper and lower bounds, respectively, to the eigenvalues required. Highly accurate numerical results for the quartic and sextic oscillators are presented for a wide range of the coupling constants. | en_US |
| dc.identifier.citation | Taşeli, H.; Eid, R. (1998). "The confined system approximation for solving non-separable potentials in three dimensions", Journal of Physics A: Mathematical and General, Vol. 31, No. 13, pp. 3095-3114. | en_US |
| dc.identifier.doi | 10.1088/0305-4470/31/13/013 | |
| dc.identifier.issn | 0305-4470 | |
| dc.identifier.issn | 1361-6447 | |
| dc.identifier.scopus | 2-s2.0-0039938910 | |
| dc.identifier.uri | https://doi.org/10.1088/0305-4470/31/13/013 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12646 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Journal of Physics A: Mathematical and General | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | The Confined System Approximation for Solving Non-Separable Potentials in Three Dimensions | en_US |
| dc.title | The confined system approximation for solving non-separable potentials in three dimensions | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Taşeli H., Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey; Eid R., Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey, Department of Mathematics, Çankaya University, 06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 3114 | en_US |
| gdc.description.issue | 13 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 3095 | en_US |
| gdc.description.volume | 31 | en_US |
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| gdc.oaire.keywords | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics | |
| gdc.oaire.keywords | Computational methods for problems pertaining to quantum theory | |
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