Analytical solutions for the hydrogen atom in plasmas with electric, magnetic, and Aharonov-Bohm flux fields

Liu, Ling; Rana, J. M. S.; Liao, Shijun

doi:10.1103/physreve.103.023206

Cited by 15 publications

(7 citation statements)

References 40 publications

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“…Additionally, with analytical solutions now possible for the MGECSC potential, certain closed analytical expressions allow for a more comprehensive and detailed examination of the spectroscopic properties of atomic systems. For details about the MGECSC potential, please refer [50][51][52][53]. The MGECSC potential should be modified for Li atom within the model potential approach [54].…”

Section: Theoretical Model and Proceduresmentioning

confidence: 99%

Radiative dynamics of laser-driven Li@C _n embedded in quantum plasma

Bahar

2024

Phys. Scr.

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This work considers a guest Lithium atom (Li@Cn) in an endohedral fullerene, embedded in a quantum plasma modeled by the more general exponential cosine screened Coulomb (MGECSC) potential, under the inﬂuence of a spherical conﬁnement and laser radiation ﬁeld. The system is examined in nonrelativistic form and the related wave equation is solved using the tridiagonal matrix method (TMM), thus obtaining the discrete and continuum spectrum and related wave functions. The numerical values of the relevant parameters in this process are physically accessible values. The eﬀects of plasma, laser ﬁeld and endohedral cavity on photoionization cross section (PCS) are analysed in detail. The shielding eﬀect of the plasma medium and the pulsating eﬀect of the laser ﬁeld modify the eﬀective potential energy of the system, aﬀecting the localizations of the 2s and continuum states, causing various overlapping cases. Considering diﬀerent values of the endohedral encompassement parameters, which means that diﬀerent types of fullerenes are taken into account, overlapping cases occur for diﬀerent spectra and wave functions. Scrutinising these overlappings, the conﬁnement and Cooper resonances of the PCSs are analysed. This analysis provides many details for the radiative dynamics of an artiﬁcial system Li@Cn. The relevant ranges and critical values of plasma, laser ﬁeld, and endohedral encapsulation parameters in the formation process of these resonances and PCSs are explained, as well as the cross-section curve, resonance positions, eﬀective photoelectron energy range, and general PCS behavior, which can be important for potential experiments in addition to other theoretical investigations.

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Section: Theoretical Model and Proceduresmentioning

confidence: 99%

Radiative dynamics of laser-driven Li@C _n embedded in quantum plasma

Bahar

2024

Phys. Scr.

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“…These interactions have similar effects in that they cause the energy levels to split and shift [44]. External fields have previously been studied by a wide range of quantum mechanical phenomena in many areas, including physics, chemistry, biology, material science, engineering, mathematics [45][46][47][48][49][50][51] and others.…”

Section: Introductionmentioning

confidence: 99%

Thermomagnetic properties and the effects of Aharonov-Bohm (AB) flux and external magnetic field on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and Supersymmetric quantum mechanics (SUSYQM) methods

Okon

Onate

Horchani

et al. 2023

Preprint

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The analytical bound state solutions, thermomagnetic properties, and the effect of Aharanov-Bohm (AB) flux and external magnetic field on Fisher information entropy with Schioberg plus Manning-Rosen potential are studied using NUFA and SUSYQM methods in the presence of the Greene-Aldrich approximation scheme to the centrifugal term. The wave function obtained was used to study Fisher information both in position and momentum spaces for different quantum states by the gamma function and digamma polynomials. The energy equation obtained in a closed form was used to deduce numerical energy spectra, partition function, and other thermomagnetic properties. The results show that with an application of AB and magnetic fields, the numerical energy eigenvalues for different magnetic quantum spins decrease as the quantum state increases and completely removes the degeneracy of the energy spectra. Also, the numerical computation of Fisher information satisfies Fisher information inequality products, indicating that the particles are more localized in the presence of external fields than in their absence, and the trend shows complete localization of quantum mechanical particles in all quantum states. Our potential reduces to Schioberg and Manning-Rosen potentials as special cases. Our potential reduces to Schioberg and Manning-Rosen potentials as special cases. The energy equations obtained from the NUFA and SUSYQM were the same, demonstrating a high level of mathematical precision

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“…These solutions obtained are either exactly or approximately. In the literature, only a few of these potential models can be solved exactly such as that of a harmonic oscillator and hydrogen atom [13]. It is also well known that the solution obtained from the SWE can be used to study many physical systems such as probability density and information theoretic measures [14][15][16][17][18], thermodynamics properties [19][20][21][22][23], and other applications in physics and chemistry [24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Solutions of the Schrodinger equation of the shifted screened Kratzer potential and its thermodynamic functions using the extended Nikiforov–Uvarov method

et al. 2022

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By employing the extended Nikiforov–Uvarov (ENU) method, we solved the radial Schrodinger equation with the shifted screened Kratzer potential model. The analytical expression of the energy eigenvalues and numerical results were determined for some selected diatomic molecule systems. Variations of the energy eigenvalues obtained with potential parameters and quantum numbers were discussed graphically. Also, variations of different thermodynamic properties with temperature and maximum vibration quantum numbers were discussed extensively. Our results correspond to the results obtained in the literatures. The shifting parameters contribute a great effect to the energy results obtained. It has also been established that there exists a critical temperature at specific entropy values for the selected diatomic molecule systems.

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Analytical solutions for the hydrogen atom in plasmas with electric, magnetic, and Aharonov-Bohm flux fields

Cited by 15 publications

References 40 publications

Radiative dynamics of laser-driven Li@C _n embedded in quantum plasma

Radiative dynamics of laser-driven Li@C _n embedded in quantum plasma

Thermomagnetic properties and the effects of Aharonov-Bohm (AB) flux and external magnetic field on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and Supersymmetric quantum mechanics (SUSYQM) methods

Solutions of the Schrodinger equation of the shifted screened Kratzer potential and its thermodynamic functions using the extended Nikiforov–Uvarov method

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Analytical solutions for the hydrogen atom in plasmas with electric, magnetic, and Aharonov-Bohm flux fields

Cited by 15 publications

References 40 publications

Radiative dynamics of laser-driven Li@C n embedded in quantum plasma

Radiative dynamics of laser-driven Li@C n embedded in quantum plasma

Thermomagnetic properties and the effects of Aharonov-Bohm (AB) flux and external magnetic field on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and Supersymmetric quantum mechanics (SUSYQM) methods

Solutions of the Schrodinger equation of the shifted screened Kratzer potential and its thermodynamic functions using the extended Nikiforov–Uvarov method

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Product

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Radiative dynamics of laser-driven Li@C _n embedded in quantum plasma

Radiative dynamics of laser-driven Li@C _n embedded in quantum plasma