Bound and Resonant States in Confined Atoms

Jiao, Li Guang; Ho, Yew Kam

doi:10.1007/978-3-319-09982-8_6

Cited by 6 publications

(16 citation statements)

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“…and was used in previous studies for structural variations for bound [27,29] and resonance states [28,29]. …”

Section: Theoretical Methodsmentioning

confidence: 99%

“…In other related development, spectroscopic atomic structures for confined atomic systems have been under active investigations [25][26][27][28][29][30][31]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…This work presents such an investigation. Here, we report calculations of Shannon entropy for the ground state and first singlet-spin excited state of helium confined with finite attractive [27][28][29] and repulsive potentials [24] by employing highly correlated and extensive Hylleraas-type wave functions. We use the finite oscillator (FO) potentials for the external confinement potentials [24,[27][28][29].…”

Section: Introductionmentioning

confidence: 99%

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Shannon Information Entropy in Position Space for the Ground and Singly Excited States of Helium with Finite Confinements

2017

Atoms

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Abstract:We provide benchmark values for Shannon information entropies in position space for the ground state and ls2s 1 S e excited state of helium confined with finite confinement potentials by employing the highly correlated Hylleraas-type wave functions. For the excited state, a "tilt" (small oscillation) on the curve of Shannon entropy as a function of width size for the confinement potential is observed. Justified by the behavior of the electron density, the localization or delocalization of the helium wave functions confined with repulsive and attractive finite oscillator (FO) potentials are examined.

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“…and was used in previous studies for structural variations for bound [27,29] and resonance states [28,29]. …”

Section: Theoretical Methodsmentioning

confidence: 99%

“…In other related development, spectroscopic atomic structures for confined atomic systems have been under active investigations [25][26][27][28][29][30][31]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Shannon Information Entropy in Position Space for the Ground and Singly Excited States of Helium with Finite Confinements

2017

Atoms

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“…As a consequence, structural and spectral atomic properties are being changed depending on the type of the confining model potential representing the environment. Various phenomenological potentials exist in the literature [22][23][24][25] which can mimic the corresponding environment. Historically the idea of confined atomic systems was first introduced by Michels et al [26], soon after the advent of quantum mechanics.…”

Section: Introductionmentioning

confidence: 99%

Entanglement in helium atom confined in an impenetrable cavity

Kościk

Saha

2015

Eur. Phys. J. D

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We explore ground-state entanglement properties of helium atom confined at the center of an impenetrable spherical cavity of varying radius by using explicitly correlated Hylleraas-type basis set. Results for the dependencies of the von Neumann and linear entanglement entropic measures on the cavity radius are discussed in details. Some highly accurate numerical results for the von Neumann and linear entropy are reported for the first time. It is found that the transition to the strong confinement regime is manifested by the entropies as an appearance of the inflection points on their variations.

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“…The nodes or antinodes of the resonance wavefunction lie at the boundary of the QD cavity and the interference caused inside the cavity gives rise to the oscillatory behavior of the resonance widths [3,29].…”

Section: Resultsmentioning

confidence: 99%