# Confinement effects of magnetic field on two-dimensional hydrogen atom in plasmas

## Abstract

In this study, for the first time, the Schrödinger equation with more general exponential cosine screened Coulomb (MGECSC) potential is solved numerically in the presence and in the absence of an external magnetic field within two-dimensional formalism using the asymptotic iteration method. The MGECSC potential includes four different potential forms when considering different sets of the parameters in the potential. The plasma screening effects in the weak and strong magnetic field regimes as well as the confinement effects of magnetic field on the two-dimensional hydrogen atom in Debye and quantum plasmas are investigated by solving the corresponding equations. It is found that applying a uniform magnetic field on the hydrogen atom embedded in a plasma leads to change in the profile of the total interaction potential. Thus, confinement effects of magnetic field on hydrogen atom embedded in Debye and quantum plasmas modeled by a MGECSC potential lead to shift bound state energies. This effect would be important to isolate the plasma from the external environment in the experimental applications of plasma physics.

- Authors:

- Department of Energy Systems Engineering, Faculty of Engineering, Karamanoğlu Mehmetbey University, 70100 Karaman (Turkey)
- Department of Physics, Faculty of Arts and Sciences, Niğde University, 51240 Niğde (Turkey)

- Publication Date:

- OSTI Identifier:
- 22410318

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ASYMPTOTIC SOLUTIONS; BOUND STATE; HYDROGEN; INTERACTIONS; MAGNETIC FIELDS; PLASMA CONFINEMENT; POTENTIALS; QUANTUM PLASMA; SCHROEDINGER EQUATION; SCREENING

### Citation Formats

```
Bahar, M. K., E-mail: mussiv58@gmail.com, and Soylu, A., E-mail: asimsoylu@gmail.com.
```*Confinement effects of magnetic field on two-dimensional hydrogen atom in plasmas*. United States: N. p., 2015.
Web. doi:10.1063/1.4919613.

```
Bahar, M. K., E-mail: mussiv58@gmail.com, & Soylu, A., E-mail: asimsoylu@gmail.com.
```*Confinement effects of magnetic field on two-dimensional hydrogen atom in plasmas*. United States. doi:10.1063/1.4919613.

```
Bahar, M. K., E-mail: mussiv58@gmail.com, and Soylu, A., E-mail: asimsoylu@gmail.com. Fri .
"Confinement effects of magnetic field on two-dimensional hydrogen atom in plasmas". United States. doi:10.1063/1.4919613.
```

```
@article{osti_22410318,
```

title = {Confinement effects of magnetic field on two-dimensional hydrogen atom in plasmas},

author = {Bahar, M. K., E-mail: mussiv58@gmail.com and Soylu, A., E-mail: asimsoylu@gmail.com},

abstractNote = {In this study, for the first time, the Schrödinger equation with more general exponential cosine screened Coulomb (MGECSC) potential is solved numerically in the presence and in the absence of an external magnetic field within two-dimensional formalism using the asymptotic iteration method. The MGECSC potential includes four different potential forms when considering different sets of the parameters in the potential. The plasma screening effects in the weak and strong magnetic field regimes as well as the confinement effects of magnetic field on the two-dimensional hydrogen atom in Debye and quantum plasmas are investigated by solving the corresponding equations. It is found that applying a uniform magnetic field on the hydrogen atom embedded in a plasma leads to change in the profile of the total interaction potential. Thus, confinement effects of magnetic field on hydrogen atom embedded in Debye and quantum plasmas modeled by a MGECSC potential lead to shift bound state energies. This effect would be important to isolate the plasma from the external environment in the experimental applications of plasma physics.},

doi = {10.1063/1.4919613},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 5,

volume = 22,

place = {United States},

year = {2015},

month = {5}

}