# Plasma screening effects on the energies of hydrogen atom under the influence of velocity-dependent potential

## Abstract

In order to examine the plasma screening and velocity-dependent potential effects on the hydrogen atom, the Schrödinger equation including a more general exponential cosine screened Coulomb and velocity-dependent potential is solved numerically in the framework asymptotic iteration method. The more general exponential cosine screened Coulomb potential is used to model Debye and quantum plasma for the specific values of the parameters in its structure. However, in order to examine effects of velocity-dependent potential on energy values of hydrogen atom in Debye and quantum plasma, the isotropic form factor of velocity-dependent potential is given as harmonic oscillator type, ρ(r)=ρ{sub o}r{sup 2}. Then, the energies of s and p states are calculated numerically without any approximation. In order to investigate thoroughly plasma screening effects and contribution of velocity-dependent potential on energy values of hydrogen atom, the corresponding calculations are carried out by using different values of parameters of more general exponential cosine screened Coulomb potential and isotropic dependence, results of which are discussed.

- Authors:

- Department of Physics, Karamanoglu Mehmetbey University, 70100 Karaman (Turkey)

- Publication Date:

- OSTI Identifier:
- 22299832

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ATOMS; COULOMB FIELD; HARMONIC OSCILLATORS; HYDROGEN; POTENTIALS; QUANTUM PLASMA; SCHROEDINGER EQUATION; VELOCITY

### Citation Formats

```
Bahar, M. K.
```*Plasma screening effects on the energies of hydrogen atom under the influence of velocity-dependent potential*. United States: N. p., 2014.
Web. doi:10.1063/1.4890125.

```
Bahar, M. K.
```*Plasma screening effects on the energies of hydrogen atom under the influence of velocity-dependent potential*. United States. doi:10.1063/1.4890125.

```
Bahar, M. K. Tue .
"Plasma screening effects on the energies of hydrogen atom under the influence of velocity-dependent potential". United States.
doi:10.1063/1.4890125.
```

```
@article{osti_22299832,
```

title = {Plasma screening effects on the energies of hydrogen atom under the influence of velocity-dependent potential},

author = {Bahar, M. K.},

abstractNote = {In order to examine the plasma screening and velocity-dependent potential effects on the hydrogen atom, the Schrödinger equation including a more general exponential cosine screened Coulomb and velocity-dependent potential is solved numerically in the framework asymptotic iteration method. The more general exponential cosine screened Coulomb potential is used to model Debye and quantum plasma for the specific values of the parameters in its structure. However, in order to examine effects of velocity-dependent potential on energy values of hydrogen atom in Debye and quantum plasma, the isotropic form factor of velocity-dependent potential is given as harmonic oscillator type, ρ(r)=ρ{sub o}r{sup 2}. Then, the energies of s and p states are calculated numerically without any approximation. In order to investigate thoroughly plasma screening effects and contribution of velocity-dependent potential on energy values of hydrogen atom, the corresponding calculations are carried out by using different values of parameters of more general exponential cosine screened Coulomb potential and isotropic dependence, results of which are discussed.},

doi = {10.1063/1.4890125},

journal = {Physics of Plasmas},

number = 7,

volume = 21,

place = {United States},

year = {Tue Jul 15 00:00:00 EDT 2014},

month = {Tue Jul 15 00:00:00 EDT 2014}

}