263 citations
- Center for Astrophysics Harvard & SmithsonianUS4 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Khalifa University of Science and TechnologyAE4 papers
- Queen's University BelfastGB4 papers
- CEA DAM Île-de-FranceFR3 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3 papers
- Concordia UniversityCA3 papers
- Institut des Sciences Moléculaires d'OrsayFR3 papers
- Synchrotron SOLEILFR3 papers
- University of Prince Edward IslandCA3 papers
- Advanced Light Source2 papers
- Argonne National LaboratoryUS2 papers
Showing 2004 · math-phShow all
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math-ph2004★ 13 cited
Study of anharmonic singular potentials
Nasser Saad, Richard L. Hall, Qutaibeh D. Katatbeh
A simple and efficient variational method is introduced to accelerate the convergence of the eigenenergy computations for a Hamiltonian H with singular potentials. Closed-form anal…
math-ph2004★ 7 cited
A basis for variational calculations in d dimensions
Richard L. Hall, Qutaibeh D. Katatbeh, Nasser Saad
In this paper we derive expressions for matrix elements (ϕ_i,Hϕ_j) for the Hamiltonian H=-Δ+\sum_q a(q)r^q in d > 1 dimensions. The basis functions in each angular momentum subspac…