Nondispersive Two-Electron Wave Packets in a Helium Atom

Kalinski, Matt; Hansen, Loren; Farrelly, David

doi:10.1103/physrevlett.95.103001

Cited by 18 publications

(4 citation statements)

References 30 publications

(40 reference statements)

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“…It is interesting to note that chaos in the Hill sphere is similar to the situation in several problems of current interest in atomic and molecular physics; these include the creation of non-dispersive electronic Trojan wave packets in Rydberg atoms (Bialynicki-Birula et al 1995;Lee et al 1995Lee et al , 1997Lee et al , 2000Kalinski et al 2005); the dynamics and ionization of Rydberg atoms and molecules in external microwave (Griffiths & Farrelly 1992;Farrelly 1994;Deprit et al 1996;Brunello et al 1997;Bellomo et al 1997) or magnetic fields (Johnson et al 1983;Saini & Farrelly 1987;Uzer et al 1991); and the dynamics of ions in ion traps (Howard & Farrelly 1993;Elipe et al 2002).…”

Section: Hamiltonian and Equations Of Motionmentioning

confidence: 94%

Production of trans-Neptunian binaries through chaos-assisted capture

Lee

Astakhov

Farrelly

2007

Monthly Notices of the Royal Astronomical Society

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The recent discovery of binary objects in the Kuiper-belt opens an invaluable window into past and present conditions in the trans-Neptunian part of the Solar System. For example, knowledge of how these objects formed can be used to impose constraints on planetary formation theories. We have recently proposed a binary-object formation model based on the notion of chaos-assisted capture. Here we present a more detailed analysis with calculations performed in the spatial (three-dimensional) three- and four-body Hill approximations. It is assumed that the potential binary partners are initially following heliocentric Keplerian orbits and that their relative motion becomes perturbed as these objects undergo close encounters. First, the mass, velocity, and orbital element distribu- tions which favour binary formation are identified in the circular and elliptical Hill limits. We then consider intruder scattering in the circular Hill four-body problem and find that the chaos-assisted capture mechanism is consistent with observed, apparently randomly distributed, binary mutual orbit inclinations. It also predicts asymmetric distributions of retrograde versus prograde orbits. The time-delay induced by chaos on particle transport through the Hill sphere is analogous to the formation of a resonance in a chemical reaction. Implications for binary formation rates are considered and the 'fine-tuning' problem recently identified by Noll et al. (2007) is also addressed.Comment: submitted to MNRA

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Section: Hamiltonian and Equations Of Motionmentioning

confidence: 94%

Production of trans-Neptunian binaries through chaos-assisted capture

Lee

Astakhov

Farrelly

2007

Monthly Notices of the Royal Astronomical Society

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“…6,7 For an exhaustive review on electronic structure of quantum dots, we refer to the article by Reimann and Manninen. 3 We also refer to the work of Farrelly and co-workers 11,12 on the localization of one and two point lattice limits with field induced boundaries.…”

Section: Introductionmentioning

confidence: 99%

Electronic structure of many-electron square-well quantum dots with and without an attractive impurity: Spin-density-functional theory

et al. 2007

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The electronic structure of many-electron square-well quantum dots with and without an attractive impurity has been investigated within the spin-density-functional theory. We consider various sizes of quantum dots with the number of electrons varying from 2 to 20. We observe the emergence of localized Wigner-moleculelike behavior along with the wall-like feature in the charge density. However, unlike the parabolic quantum dots, we do not observe the analog of concentric rings. We also observe the typical broken symmetry configurations noted in earlier reports for quantum dots. The impurity induces the localized magnetic moment which, in many cases, generates the spin-polarized configurations with the antiferromagnetic coupling. An examination of the magnetic states indicates that the presence of impurity may change the ground state of quantum dot from magnetic to nonmagnetic and vice versa. We also observe that the localized charge at the center sharpens the walls.

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“…The impact of charged impurities on the properties of quantum dots was addressed in connection with different confinment models, like a parabolic potential [9][10][11][12] or an infinite well 13 but also finite potentials [14][15][16][17][18] . Another interesting aspect is the behavior of quantum dots with impurities in external fields, which can give rise to effects like emergence of stable non-dispersive electron wave packets 19 , field-enhanced electron localization 20 or change of optical properties 21 . However, we are only aware of one paper explicitly investigating the role of impurities in the autoionization process 4 .…”

Section: Introductionmentioning

confidence: 99%

Effects of screened Coulomb impurities on autoionizing two-electron resonances in spherical quantum dots

Genkin

Lindroth

2010

Phys. Rev. B

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In a recent paper (Phys. Rev. B 78, 075316 (2008)), Sajeev and Moiseyev demonstrated that the bound-to-resonant transitions and lifetimes of autoionizing states in spherical quantum dots can be controlled by varying the confinment strength. In the present paper, we report that such control can in some cases be compromised by the presence of Coulomb impurities. It is demonstrated that a screened Coulomb impurity placed in the vicinity of the dot center can lead to boundto-resonant transitions and to avoided crossings-like behavior when the screening of the impurity charge is varied. It is argued that these properties also can have impact on electron transport through quantum dot arrays.

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Nondispersive Two-Electron Wave Packets in a Helium Atom

Cited by 18 publications

References 30 publications

Production of trans-Neptunian binaries through chaos-assisted capture

Production of trans-Neptunian binaries through chaos-assisted capture

Electronic structure of many-electron square-well quantum dots with and without an attractive impurity: Spin-density-functional theory

Effects of screened Coulomb impurities on autoionizing two-electron resonances in spherical quantum dots

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