# Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene

## Abstract

In this paper, we have obtained exact analytical solutions of the time-independent Dirac-Weyl equation for the charge carriers with q-deformed pseudoscalar magnetic barrier (PMB) in graphene by using the ansatz method. We have also found a solution that describes the left propagating wave function to calculation of the reflection and transmission coefficients using the Riemann’s equation. This allows us to conclude about the Dirac-Weyl equation with PMB and to understand quantum behavior of the Dirac fermions. Finally, some of the numerical results are shown, too.

- Authors:

- Faculty of Physics, Semnan University, Semnan (Iran, Islamic Republic of)
- (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 22596480

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; CHARGE CARRIERS; FERMIONS; GRAPHENE; MAGNETIC FIELDS; WAVE FUNCTIONS

### Citation Formats

```
Eshghi, M., E-mail: eshgi54@gmail.com, E-mail: m.eshghi@semnan.ac.ir, Department of Physics, Imam Hosein Comprehensive University, Tehran, and Mehraban, H..
```*Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene*. United States: N. p., 2016.
Web. doi:10.1063/1.4960740.

```
Eshghi, M., E-mail: eshgi54@gmail.com, E-mail: m.eshghi@semnan.ac.ir, Department of Physics, Imam Hosein Comprehensive University, Tehran, & Mehraban, H..
```*Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene*. United States. doi:10.1063/1.4960740.

```
Eshghi, M., E-mail: eshgi54@gmail.com, E-mail: m.eshghi@semnan.ac.ir, Department of Physics, Imam Hosein Comprehensive University, Tehran, and Mehraban, H.. Mon .
"Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene". United States. doi:10.1063/1.4960740.
```

```
@article{osti_22596480,
```

title = {Effective of the q-deformed pseudoscalar magnetic field on the charge carriers in graphene},

author = {Eshghi, M., E-mail: eshgi54@gmail.com, E-mail: m.eshghi@semnan.ac.ir and Department of Physics, Imam Hosein Comprehensive University, Tehran and Mehraban, H.},

abstractNote = {In this paper, we have obtained exact analytical solutions of the time-independent Dirac-Weyl equation for the charge carriers with q-deformed pseudoscalar magnetic barrier (PMB) in graphene by using the ansatz method. We have also found a solution that describes the left propagating wave function to calculation of the reflection and transmission coefficients using the Riemann’s equation. This allows us to conclude about the Dirac-Weyl equation with PMB and to understand quantum behavior of the Dirac fermions. Finally, some of the numerical results are shown, too.},

doi = {10.1063/1.4960740},

journal = {Journal of Mathematical Physics},

number = 8,

volume = 57,

place = {United States},

year = {Mon Aug 15 00:00:00 EDT 2016},

month = {Mon Aug 15 00:00:00 EDT 2016}

}

DOI: 10.1063/1.4960740

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