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  • 1
    ISSN: 1432-2234
    Keywords: Screened coulomb potentials ; Perturbation theory ; Yukawa potential
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract In this work, a high precision algorithm is developed to determine the discrete spectrum of screened coulomb potential systems. The algorithm is mainly based upon the use of the perturbation of a hydrogen-like operator by a bounded operator. The Laguerre basis set expansion is employed in the procedure to obtain the operator inversion. Although a functional analytic analysis of errors and proof of convergence theorem are still lacking, it appears, numerically, that the method rapidly converges for bounded screened coulomb potential. Extremely accurate numerical results for the bound-state energies, in the case of Yukawa potential, are presented for illustrative purposes.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical chemistry 16 (1994), S. 167-183 
    ISSN: 1572-8897
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mathematics
    Notes: Abstract The variational principle is used to obtain solutions to Schrödinger's equation for a particle in the Yukawa potential. A Laguerre basis set extended by an extra function is employed in the calculations. A special parameter used in the extra function and its relation with the systems energy results in utilizing an auto-coherent scheme. Considerable improvement seems to be achieved especially in the critical region where the screening parameter approaches its threshold value.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical chemistry 11 (1992), S. 311-323 
    ISSN: 1572-8897
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mathematics
    Notes: Abstract The variational method is used to obtain solutions to Schrödinger's equation for a particle in the radially screened Yukawa potential. A basis set is presented. While the Laguerre basis set shows considerable improvement over the hydrogenic one, problems are still encountered as the screening parameter approaches its threshold value. Variational calculations are also presented using an Eckart-type basis set which looks promising near the critical screening region.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 29 (1986), S. 1025-1032 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: LCGTO-VWN-MP calculations have been performed for PdH, Pd3H, and for a series of Pd10H clusters representing hydrogen chemisorbed on a (111) surface and at various sites along a diffusion path through the cluster. The calculated chemisorption geometry (over a threefold site) has a Pd—H distance of 1.72 Å, slightly longer than that proposed by Eberhardt et al. (1.69 Å) on the basis of comparison of photoemission data with slab calculations. Agreement with known energy differences is very good: We find the chemisorption site 0.25 eV (exp. 0.26) more stable than the most stable (octahedral) bulk site. The top of the diffusion barrier, a triangular site, is calculated 0.34 eV (exp. 0.23) above the octahedral site. All the sites have a split-off state of Pd d, H s character below the d bands, indicating that the ‘invisible’ state of H/Pd(111) recently (not) observed in UPS cannot straightforwardly be attributed to hydrogen incorporation at sites such as these.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 34 (1988), S. 231-245 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In this work, an algebraic method is developed to determine the eigenlevels of radially screened Coulomb potential systems. The method is mainly based on the concept of space pruning. The basis functions are combined in a way such that the resulting approximate eigenfunction and its several images under certain positive integer powers of the system's Hamiltonian (H) remain in the domain of H. Certain structural parameters are introduced into the basis functions to imitate some known behaviors of the true eigenfunctions of the system.The main purpose of this work is not to reproduce the results for screened Coulomb potential systems but to develop a method which does not necessitate integration at any stage and can later be adapted to atomic and molecular systems as easily as possible.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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