Time-dependent approach to electron scattering and ionization in the<i>s</i>-wave model

Ihra, W.; Draeger, M.; Handke, G.; Friedrich, Harald

doi:10.1103/physreva.52.3752

Cited by 57 publications

(25 citation statements)

References 33 publications

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“…This method has been used to study autoionization in a one-dimensional two-electron model [22], a two-dimensional two-electron model [16], and in an S-wave model [16,23]. The result for A 2s 2͑t͒ is shown in Fig.…”

Section: ͑25͒mentioning

confidence: 99%

Helium atom in a box: Doubly excited levels within theS-wave model

Mitnik

2004

Phys. Rev. A

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A complete nonperturbative close-coupling solution of the helium atom in a box problem is presented by developing two numerical techniques. The first technique is the direct solution by diagonalization of the Hamiltonian, and the second is based on a constrained relaxation of the wave functions. A Feshbach projection operator of the direct solutions to the bound-continuum subspaces allows a comparison of the low-lying autoionization levels obtained in both methods. Time-dependent propagation of these doubly excited wave functions is analyzed, allowing the calculation and the visualization of the autoionization process. In this work, results are presented for the S-wave model in which the electrons are restricted to spherical states and all angular correlations have been eliminated.

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Section: ͑25͒mentioning

confidence: 99%

Helium atom in a box: Doubly excited levels within theS-wave model

Mitnik

2004

Phys. Rev. A

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“…In practice, this means that for the attractive potential model, one needs to integrate far enough in time so that a sufficient number of 2π( k 2 /2) −1 wave length oscillations are generated in order to obtain a reasonably accurate temporal average; however, this temporal interval cannot be achieved while still preserving the accuracy of the wave function, unless many oscillations can be obtained over a small number of transit times (Fig. 7), which tends to push the attractive potential model calculations toward higher energies where the conventional wave packet methods 1–8 are useful.…”

Section: Calculationsmentioning

confidence: 99%

“…Much work has appeared recently on the time‐dependent Schrödinger description of elastic 1, 2 and inelastic 3–8 scattering. A large practical limitation of this method is the use of a Gaussian wave packet to describe the projectile motion.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of the time-dependent Schr�dinger equation for continuum states

Ritchie

Weatherford

2000

Int. J. Quantum Chem.

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“…This method has been used to study autoionization in a one-dimensional two-electron model [13], a two-dimensional two-electron model [12], and an s-wave model [12,14].…”

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confidence: 99%

Time-Dependent Close-Coupling Calculations of Dielectronic Capture in He

Mitnik

2002

Phys. Rev. Lett.

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We report on the first time-dependent close-coupling calculation of dielectronic capture into a doubly excited state of a two-electron atom. An incoming electron is represented by a Gaussian wave packet which collides with singly ionized helium in its ground state. The close-coupling equations describe the propagation of the total compound wave function on a two-dimensional radial lattice. By projecting this wave function onto a doubly excited state of neutral helium, we can determine the probability amplitude for dielectronic capture into one of these states and the subsequent autoionization from it.

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Time-dependent approach to electron scattering and ionization in thes-wave model

Cited by 57 publications

References 33 publications

Helium atom in a box: Doubly excited levels within theS-wave model

Helium atom in a box: Doubly excited levels within theS-wave model

Numerical solution of the time-dependent Schr�dinger equation for continuum states

Time-Dependent Close-Coupling Calculations of Dielectronic Capture in He

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