Structural Investigations on Calcium-Silica-Phosphate Glasses

Simon, V.; Simon, S.; Eniu, D.

doi:10.1142/s0217984902004275

Cited by 20 publications

(24 citation statements)

References 11 publications

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“…Let us only remark, in passing, that in the presence of the Coulomb potential the standard regularization procedure [18,19] has to be modified [20]. In our work, however, we apply the exterior complex scaling method [21,22] which works very well regardless of whether the Coulomb potential is used or not.…”

Section: ͑8͒mentioning

confidence: 99%

Proton-neutron coupling in the Gamow shell model: The lithium chain

2004

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The shell model in the complex k-plane (the so-called Gamow Shell Model) has recently been formulated and applied to structure of weakly bound, neutron-rich nuclei. The completeness relations of Newton and Berggren, which apply to the neutron case, are strictly valid for finite-range potentials. However, for long-range potentials, such as the Coulomb potential for protons, for which the arguments based on the Mittag-Leffler theory do not hold, the completeness still needs to be demonstrated. This has been done in this paper, both analytically and numerically. The generalized Berggren relations are then used in the first Gamow Shell Model study of nuclei having both valence neutrons and protons, namely the lithium chain. The single-particle basis used is that of the Hartree-Fock-inspired potential generated by a finite-range residual interaction. The effect of isospin mixing in excited unbound states is discussed

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Section: ͑8͒mentioning

confidence: 99%

Proton-neutron coupling in the Gamow shell model: The lithium chain

2004

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“…With a view to avoid problems involving nondilatation analytic potentials, two other scaling schemes were introduced by Moiseyev and coworkers, viz. exterior complex scaling 19 and smooth‐exterior complex scaling 20, which are based on Simon's proposal 21 of keeping the electronic coordinates on the real axis long enough to avoid nonanaliticities. McCurdy and Rescigno introduced the idea of complex scaling the basis functions instead of scaling the Hamiltonian 6, 22.…”

Section: Introductionmentioning

confidence: 99%

Obtaining positions and widths of scattering resonances from a complex multiconfigurational self‐consistent field state using the M₁ method

Samanta¹,

Yeager²

2009

Int J of Quantum Chemistry

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We present a complex multiconfigurational self-consistent field (CMCSCF)-based approach to investigate electron-atom scattering resonances. It is made possible by the use of second quantization algebra adapted for biorthogonal spin orbitals, which has been applied to develop a quadratically convergent CMCSCF method. To control the convergence to the correct CMCSCF stationary point, a modified step-length control algorithm is introduced. Convergence to a tolerance of 1.0 × 10 −10 a.u. for the energy gradient is found to be typically within 10 iterations or less. A method involving the first block of the M matrix defined in the multiconfigurational spin tensor electron propagator method (MCSTEP) based on the CMCSCF reference state has been implemented to investigate 2 P Be − shape resonances. The position and width of these resonances have been calculated for different complete active space choices. The wide distribution of the position and width of the resonance reported in the literature is explained by the existence of two distinct resonances which are close in energy.

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“…The computational efficiency and low-energy stability of PECS has allowed a detailed and accurate examination of the e-H threshold region. PECS uses the exterior complex scaling (ECS) ansatz pioneered by Rescigno, Baertschy, McCurdy and coworkers [21,22], and originally proposed by Nicolaides and Beck [23] and independently by Simon [24].We performed calculations at 261 system energies between 0.01-0.10 a.u., spaced at 0.000 25 a.u. intervals below 0.05 a.u., and 0.0005 a.u.…”

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confidence: 99%

Threshold Behavior ofe-H Ionizing Collisions

Bartlett

Stelbovics

2004

Phys. Rev. Lett.

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We present accurate ab initio numerical solutions of the full Schrödinger equation for the electron-impact ionization of hydrogen near threshold using the propagating exterior complex scaling method. They provide strong support for the Wannier threshold law [Phys. Rev. 90, 817 (1953)], giving sigma proportional to E(1.122+/-0.015), and also give the energy dependence of the electrons' angular distribution as (pi-theta12) FWHM approximately 3.0E(1/4), in general agreement with classical and semiclassical predictions.

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Structural Investigations on Calcium-Silica-Phosphate Glasses

Cited by 20 publications

References 11 publications

Proton-neutron coupling in the Gamow shell model: The lithium chain

Proton-neutron coupling in the Gamow shell model: The lithium chain

Obtaining positions and widths of scattering resonances from a complex multiconfigurational self‐consistent field state using the M₁ method

Threshold Behavior ofe-H Ionizing Collisions

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Structural Investigations on Calcium-Silica-Phosphate Glasses

Cited by 20 publications

References 11 publications

Proton-neutron coupling in the Gamow shell model: The lithium chain

Proton-neutron coupling in the Gamow shell model: The lithium chain

Obtaining positions and widths of scattering resonances from a complex multiconfigurational self‐consistent field state using the M1 method

Threshold Behavior ofe-H Ionizing Collisions

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Obtaining positions and widths of scattering resonances from a complex multiconfigurational self‐consistent field state using the M₁ method