The least-squares stabilization method for resonance eigenvalues

1987-7
Yurtsever, E.
A variation on the stabilization method of Hazi and Taylor is proposed. The expectation value of H2 is known to be sensitive to changes in the wavefunction and can be used to detect the presence and the position of the resonances. By systematically increasing the size of the basis and analyzing the convergence behaviour, it is possible to obtain accurate information about the resonance states. For a model problem with a single resonance, the results are in good agreement with complex coordinate calculations.
Chemical Physics Letters

Suggestions

A hierarchy of potential energy surfaces constructed from energies and energy derivatives calculated on grids
Matito, Eduard; Toffolı, Danıele; Christiansen, Ove (AIP Publishing, 2009-04-07)
In this work we develop and test a methodology for the generation of Born-Oppenheimer potential energy surfaces (PES) for use in vibrational structure calculations. The method relies on the widely used restricted-mode-coupling expansion of the fully coupled potential surface where only up to n or less vibrational coordinates are coupled in the potential. Low-order derivatives of the energy are then used to extrapolate the higher mode-coupling potential terms; derivative information is thus used in a conveni...
Algebraic approaches to eigenvalue equations: The Wronskian method
Yurtsever, Ersin (Elsevier BV, 1987-11)
A recently proposed method for the solution of eigenvalue equations is applied to two different model potentials. Considerable improvements are observed if the algebraic requirements of the Wronskian method are enforced over a region instead of at a single point.
A perturbative treatment for the bound states of the Hellmann potential
Ikhdair, Sameer M.; Sever, Ramazan (Elsevier BV, 2007-05-14)
A new approximation formalism is applied to study the bound states of the Hellmann potential, which represents the superposition of the attractive Coulomb potential -a/r and the Yukawa potential bexp(-delta r)/r of arbitrary strength h and screening parameter delta. Although the analytic expressions for the energy eigenvalues E(n,l) yield quite accurate results for a wide range of n, f in the limit of very weak screening, the results become gradually worse as the strength b and the screening coefficient 6 i...
Scattering of He from a Cu(110) surface
Özder, Serhat; Erkoç, Şakir (Elsevier BV, 1987-4)
Using the close-coupling method we have investigated the diffraction of He atoms from a Cu ( 110 ) surface. Interaction between He and the copper surface is represented by a corrugated Mie-type potential. The softness parameter β is “optimized” for a given incident energy (Ei) and incident angle (θi) so as to reproduce the experimental results. An empirical expression for the softness parameter β(Ei, θi) is obtained. Our results are in good agreement with previous calculations and experimental observations.
A variational description of the free and localised states of the acoustic deformation potential polaron
Erçelebi, Ayşe Çiğdem (IOP Publishing, 1988-3-30)
The ground-state property of the acoustic deformation potential polaron is retrieved variationally in the overall range of the coupling constant. The calculation is based on an appropriate extension of the strong-coupling theory and yields a reasonable description of the free and self-localised states of the coupled electron-lattice system.
Citation Formats
E. Yurtsever, “The least-squares stabilization method for resonance eigenvalues,” Chemical Physics Letters, pp. 569–572, 1987, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51957.