Charge currents and induced magnetic fields in a bounded two-dimensional hydrogen atom

LumbTalwar, Shalini; Lumb, Sonia; Prasad, Vinod

doi:10.1140/epjd/s10053-021-00064-0

Cited by 11 publications

(5 citation statements)

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“…Quantum mechanical properties of confined systems are influenced by properties of confinement cage, for instance, the energy spectra and the polarizability experience significant changes [37,38]. With the increment of computational processing capacity and development of modern techniques for the effective confinement, this topic remains to be of interest [39][40][41][42][43][44][45][46][47][48][49][50]. In previous researches, we use the entropy sum to investigate the regions of the confined harmonic oscillator [51] and confined hydrogenic-like atoms [21] where the confinement effects has major impact.…”

Section: Supplementary Informationmentioning

confidence: 99%

Coulomb correlation and information entropies in confined helium-like atoms

2021

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The present work studies aspects of the electronic correlation in confined H − , He and Li + atoms in their ground states using the informational entropies. In this way, different variational wavefunctions are employed in order of better take account of Coulomb correlation. The obtained values for the Sr, Sp and St entropies are sensitive in relation to Coulomb correlation effects. In the strong confinement regime, the effects of the Coulomb correlation are negligible and the employment of the models of independent particle and two non-interacting electrons confined by a impenetrable spherical cage gains importance in this regime. Lastly, energy values are obtained in good agreement with the results available in the literature.

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Section: Supplementary Informationmentioning

confidence: 99%

Coulomb correlation and information entropies in confined helium-like atoms

2021

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“…When the system is exposed to the short pulsed laser then the probability current density of the system can be calculated as 52 This current density has both radial and azimuthal components giving rise to current and magnetic fields in both radial as well as azimuthal directions. Using expressions for Eq.…”

Section: Resultsmentioning

confidence: 99%

“…We solved the equation using finite difference numerical method using nine point stencil for . For the nine-point finite difference method does not give accurate convergence in the results, therefore we solve cases using a linear variational approach with the basis set taken as wavefunctions of a free particle in a circle 52 .…”

Section: Methodsmentioning

confidence: 99%

Enhancement of persistent currents and magnetic fields in a two dimensional quantum ring

Prasad,

Arora,

Varsha

2023

Sci Rep

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We present the study of the SiGe quantum ring (QR) modeled by an anharmonic axially symmetric potential with a centrifugal core in the effective mass approximation. We show how the femtosecond laser pulses (FLPs) can be used efficiently for controlling the induced current and magnetic field. We have compared the strength of induced currents and magnetic fields with and without pulsed laser which shows a substantial change. The spin-orbit interaction (SOI) and Zeeman energy show a massive impact on the generation and enhancement of these induced current and magnetic fields. These induced currents and magnetic fields have many applications in interdisciplinary areas. We have shown that the SOI presence with the FLP fields while competing with the confinement strength lowers the strength of the induced current and field.

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“…Exploring these factors not only guides experimental researchers, but also motivates theoretical studies to test new models and mechanisms. In this context, some effects, such as noncentral interactions, laser pulses, external magnetic fields, external electric fields, and spherical confinement, offer significant outcomes [37][38][39][40]. The common outcome of most of these studies is to elucidate how the PC and IMF can be modified by external influences.…”

Section: Introductionmentioning

confidence: 99%

Persistent currents of ultrarelativistic plasma-encased endofullerene molecules entrapping a H atom

Bahar

2024

Commun. Theor. Phys.

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In this work, for the first time in the relevant literature, the persistent currents (pc) and induced magnetic fields (imf) of an endofullerene molecule guested a hydrogen atom, under a spherical confinement, are investigated. The endofullerene molecule is enclosed within a spherical region and embedded into a plasma environment. The plasma environment is depicted with the more general exponential cosine screened Coulomb (MGECSC) potential, and its relevant effects are analyzed by considering plasma screening parameters. The relevant model for endohedral confinement is the Woods-Saxon confinement potential, which is compatible with experimental data. The effects of various forms of Cn are thoroughly elucidated through the analysis of confinement depth, spherical shell thickness, the inner radius, and the smoothing parameters. To find the bound states in the spherically confined endofullerene, the decoupling of the second-order Dirac equation for the large and small components of the radial atomic wave functions is considered. The Dirac equation with the interaction potential is solved numerically by using the Runge-Kutta-Fehlberg method through the decoupling formalism. The influence of spin orientations on the pc and imf is also elucidated. The effects of spherical confinement, plasma shielding, and the structural properties of the fullerene on the pc and imf are thoroughly viewed. Moreover, under given physical conditions, the optimal ranges of these effects are determined.

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Charge currents and induced magnetic fields in a bounded two-dimensional hydrogen atom

Cited by 11 publications

References 50 publications

Coulomb correlation and information entropies in confined helium-like atoms

Coulomb correlation and information entropies in confined helium-like atoms

Enhancement of persistent currents and magnetic fields in a two dimensional quantum ring

Persistent currents of ultrarelativistic plasma-encased endofullerene molecules entrapping a H atom

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