Multichannel Rydberg spectroscopy of complex atoms

Aymar, M; Greene, Chris H.; Luc‐Koenig, E.

doi:10.1103/revmodphys.68.1015

Cited by 478 publications

(600 citation statements)

References 461 publications

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“…are radially outgoing/incoming Coulomb spherical waves, as defined in 16 and σ l = arg(Γ(l + 1 − i/k)) is the Coulomb phase shift. To find d q k , it is now necessary to find the superposition ψ k = A lm ( k)ψ E;lm whose outgoing component matches the outgoing component of e i k· x .…”

Section: Scattering States and Ramifications For Molecular Tomographymentioning

confidence: 99%

Limits of the Plane Wave Approximation in the Measurement of Molecular Properties

2008

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Rescattering electrons offer great potential as probes of molecular properties on ultrafast timescales. The most famous example is molecular tomography, in which high harmonic spectra of oriented molecules are mapped to "tomographic images" of the relevant molecular orbitals.The accuracy of such reconstructions may be greatly affected by the distortion of scattering wavefunctions from their asymptotic forms due to interactions with the parent ion. We investigate the validity of the commonly used plane wave approximation in molecular tomography, showing how such distortions affect the resulting orbital reconstructions.

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Section: Scattering States and Ramifications For Molecular Tomographymentioning

confidence: 99%

Limits of the Plane Wave Approximation in the Measurement of Molecular Properties

2008

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“…Every such threshold has an infinite number of Rydberg levels converging to it. For this reason, the transformed S does not yet represent the physical scattering matrix (Aymar et al 1996). In fact, it represents the actual scattering matrix S phys only in energy ranges where all of the channels |s are open for electron escape, i.e.…”

Section: Mqdt-rft Methodsmentioning

confidence: 99%

“…When at least one channel is closed, the physical scattering matrix S phys is obtained from S using the standard MQDT channel-elimination formula (see Eq. (2.50) in Aymar et al (1996) or Eq. (38) in Kokoouline and Greene (2004) ).…”

Section: Mqdt-rft Methodsmentioning

confidence: 99%

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Near-threshold rotational excitation of molecular ions by electron impact

Fauré¹,

Kokoouline²,

Greene³

et al. 2006

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

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Abstract.New cross sections for the rotational excitation of H + 3 by electrons are calculated ab initio at low impact energies. The validity of the adiabatic-nuclei-rotation (ANR) approximation, combined with R-matrix wavefunctions, is assessed by comparison with rovibrational quantum defect theory calculations based on the treatment of Kokoouline and Greene (Phys. Rev. A 68 012703 2003). Pure ANR excitation cross sections are shown to be accurate down to threshold, except in the presence of large oscillating Rydberg resonances. These resonances occur for transitions with ∆J = 1 and are caused by closed channel effects. A simple analytic formula is derived for averaging the rotational probabilities over such resonances in a 3-channel problem. In accord with the Wigner law for an attractive Coulomb field, rotational excitation cross sections are shown to be large and finite at threshold, with a significant but moderate contribution from closed channels.

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“…In most systems, several Rydberg series are present in the same energy range, which most likely interact together. Such situations are described with the Multichannel Quantum Defect Theory (MQDT) [1,2,3], which involves quantum defects for each of the p channels and coupling parameters between them, constituting the so-called Y-matrix with dimension p × p [1].…”

Section: Introductionmentioning

confidence: 99%

Optimization of generalized multichannel quantum defect reference functions for Feshbach resonance characterization

Osseni¹,

Dulieu²,

Raoult³

2009

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

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This work stresses the importance of the choice of the set of reference functions in the Generalized Multichannel Quantum Defect Theory to analyze the location and the width of Feshbach resonance occurring in collisional cross-sections. This is illustrated on the photoassociation of cold rubidium atom pairs, which is also modeled using the Mapped Fourier Grid Hamiltonian method combined with an optical potential. The specificity of the present example lies in a high density of quasi-bound states (closed channel) interacting with a dissociation continuum (open channel). We demonstrate that the optimization of the reference functions leads to quantum defects with a weak energy dependence across the relevant energy threshold. The main result of our paper is that the agreement between the both theoretical approaches is achieved only if optimized reference functions are used.

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Multichannel Rydberg spectroscopy of complex atoms

Cited by 478 publications

References 461 publications

Limits of the Plane Wave Approximation in the Measurement of Molecular Properties

Limits of the Plane Wave Approximation in the Measurement of Molecular Properties

Near-threshold rotational excitation of molecular ions by electron impact

Optimization of generalized multichannel quantum defect reference functions for Feshbach resonance characterization

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