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
4 papers · 1 filter
(G'/G)-Expansion Method and Weierstrass Elliptic Function Method Applied to Coupled Wave Equation
E. V. Krishnan, M. Al Ghabshi, M. Alquran
This paper deals with the exact solutions of a nonlinear coupled coupled wave equation. The (G'/G)-expansion method has been applied to derive kink solutions and singular wave solu…
Eigenvalue bounds for polynomial central potentials in d dimensions
Qutaibeh D. Katatbeh, Richard L. Hall, Nasser Saad
If a single particle obeys non-relativistic QM in R^d and has the Hamiltonian H = - Delta + f(r), where f(r)=sum_{i = 1}^{k}a_ir^{q_i}, 2\leq q_i < q_{i+1}, a_i \geq 0$, then the e…
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…
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…