Properties of Resonance Wave Functions

More, R.M.; Gerjuoy, E.

doi:10.1103/physreva.7.1288

Cited by 113 publications

(101 citation statements)

References 26 publications

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“…In the most rigorous treatments, the space of 'dual' functions (ψ) is introduced for the QS states ψ in order that the proper normalization condition is determined by the scalar product ψ |ψ (see, e.g., [163]). As was pointed out in [164] (see also [161,162]), the proper normalization of the QS state may be fixed by its definition in terms of the residue of the total Green function of a decaying system, G E , at a resonance pole E = E r ,…”

Section: Normalization Of the Qqes Wavefunctionsmentioning

confidence: 99%

Interaction of laser radiation with a negative ion in the presence of a strong static electric field

Manakov

Frolov

Starace

et al. 2000

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. This paper provides a general theoretical description of a weakly bound atomic system (a negative ion) interacting simultaneously with two (generally strong) fields, a static electric field and a monochromatic laser field having an arbitrary elliptical polarization. The zerorange δ-potential is used to model the interaction of a bound electron in a negative ion as well as the interaction of a detached electron with the residual atom. Our treatment combines the quasistationary (complex energy) and quasienergy (Floquet) approaches. This quasistationary, quasienergy state (QQES) formalism is the most appropriate one for analysing a decaying quantum system under the influence of a periodic external perturbation. Existing QQES theory is reviewed and some new results are discussed: the Hellmann-Feynman theorem and the normalization procedure for QQES, and the definition of the dipole moment and the dynamic polarizability for a decaying atomic system (in strong static electric and/or laser fields). These results are illustrated using analytical formulae obtained from an exact solution of the QQES problem for a δ-model potential in two strong fields. Finally, from the imaginary part of the dynamic polarizability we obtain analytic results (to first order in the laser-field intensity) for the photodetachment cross section. Our results are then compared with those of previous theoretical studies.

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Section: Normalization Of the Qqes Wavefunctionsmentioning

confidence: 99%

Interaction of laser radiation with a negative ion in the presence of a strong static electric field

Manakov

Frolov

Starace

et al. 2000

J. Phys. B: At. Mol. Opt. Phys.

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“…(See Figure 7). Any guards against this possibility must come from supplementary information particular to the underlying system modeled, in our case the origin and behaviour of continuum state resonances 18 . Fig.…”

Section: Catching Narrow Resonancesmentioning

confidence: 99%

Purgatorio—a new implementation of the Inferno algorithm

Wilson

Sonnad

Sterne

et al. 2006

Journal of Quantitative Spectroscopy and Radiative Transfer

196

137

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“…The wave function of resonance states can be evaluated using the expansion over basis states (see Ref. [43])…”

Section: B Fixed-ion Approximationmentioning

confidence: 99%

Hydrogen-anion formation near a (2×1)-reconstructed Si(100) surface: Substrate-electronic-structure and trajectory dependence

Obreshkov

Thumm

2011

Phys. Rev. A

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We calculated the yield of outgoing hydrogen negative ions after the reflection of 1-keV neutral hydrogen atoms from a (2 × 1)-reconstructed Si(100) surface. We find that the charge-transfer dynamics at the reconstructed surface is dependent on both the surface-electronic structure and orientation of the projectile trajectory relative to the crystal azimuthal directions. Our results are in good quantitative agreement with the measured H − fractions of Maazouz and Esaulov [Surf. Sci. 398, 49 (1998)] for scattering trajectories that are aligned perpendicularly to rows of silicon dimers.

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Properties of Resonance Wave Functions

Cited by 113 publications

References 26 publications

Interaction of laser radiation with a negative ion in the presence of a strong static electric field

Interaction of laser radiation with a negative ion in the presence of a strong static electric field

Purgatorio—a new implementation of the Inferno algorithm

Hydrogen-anion formation near a (2×1)-reconstructed Si(100) surface: Substrate-electronic-structure and trajectory dependence

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