The hydrogen atom in plasmas with an external electric field

Abstract

We numerically solve the Schr€odinger equation, using a more general exponential cosine screened\ud Coulomb (MGECSC) potential with an electric field, in order to investigate the screening and weak\ud external electric field effects on the hydrogen atom in plasmas. The MGECSC potential is\ud examined for four different cases, corresponding to different screening parameters of the potential\ud and the external electric field. The influences of the different screening parameters and the weak\ud external electric field on the energy eigenvalues are determined by solving the corresponding\ud equations using the asymptotic iteration method (AIM). It is found that the corresponding energy\ud values shift when a weak external electric field is applied to the hydrogen atom in a plasma. This\ud study shows that a more general exponential cosine screened Coulomb potential allows the\ud influence of an applied, weak, external electric field on the hydrogen atom to be investigated in\ud detail, for both Debye and quantum plasmas simultaneously. This suggests that such a potential\ud would be useful in modeling similar effects in other applications of plasma physics, and that AIM\ud is an appropriate method for solving the Schr€odinger equation, the solution of which becomes\ud more complex due to the use of the MGECSC potential with an applied external electric field

Hydrogen atom in a quantum plasma environment under the influence of Aharonov-Bohm flux and electric and magnetic fields

“…The ranges of electron density n e and temperature, T are known as 10 18 − 10 23 cm −3 and 10 2 −10 5 K, respectively in quantum plasmas with Γ > 1. Furthermore F represents electric field strength with angle θ between F and r. With θ = 0, then F r cos(θ) becomes F r [11]. The variation of the effective potential energy as a function of various model parameters has been displayed in Figure 1 Setting effects of all fields to be constant and then vary the screening parameter up to say a factor of 1000 have little or no effect on the effective model however it has a noticeable effect on its series expansion as it will be shown in Figure 2a.…”

“…Comprehension of its simple structure are very important when investigating quantum effects in more complex structures. The influences of external electric field and magnetic field on hydrogen atom has been studied in numerous papers [2,[8][9][10][11][12][13]. Besides using electric and magnetic fields to manipulate the energy levels or localization of quantum state of hydrogen atom in quantum plasmas, we suggest that AB-flux field could as well be used.…”

Charge‐Current Output in Plasma‐Immersed Hydrogen Atom with Noncentral Interaction

“…[ 27 ] Also, the plasma medium is the most suitable medium for the excitation and ionization of atomic systems to emit radiation, and since the screening effects provided by it can be controlled externally, plasma can be also evaluated as a practical mechanism argument. [ 28–30 ] The more general exponential cosine screened Coulomb (MGECSC) potential is a more general and detailed model in order to ferret out interactions in plasma environment, and it is stated as where Z , e are the atomic number and the electron charge, a , b and λ are the plasma screening parameters. There are four different sets of this potential that exhibits a Coulombic profile, as (, for Debye plasma, screened Coulomb (SC) potential), (, for Debye plasma), (, for quantum plasma, exponential cosine screened Coulomb (ECSC) potential), (, for quantum plasma, MGECSC potential).…”

Optical analysis of quantum dot with velocity‐dependent potential

“…[ 1 ] These potentials can be used in nuclear and atomic physics areas, such as nucleon‐nucleon interactions and electron scattering of atoms. [ 2,3 ] The influence of VDP on bound states of Morse potential in nonrelativistic formalism, [ 4 ] of VDP on bound states of Coulomb and harmonic oscillator potentials in nonrelativistic formalism, [ 5 ] of VDP on scattering cases, [ 6,7 ] and of VDP on bound states of hydrogen atom embedded in plasma environment [ 8 ] are some of the considerable studies conducted on the VDP model.…”