# Simple Analytical Formula for Schroedinger Equation with Linear Potential in 3D

## Abstract

In this paper, the asymptotic iteration method is used to study the Schroedinger equation for the linear potential in 3-dimensions. We have obtained a perturbation expansion in terms of energy function and by using these expansions we have calculated energy eigenvalues. The obtained eigenvalues are compared with exact ones.

- Authors:

- Kafkas Ueniversitesi, Fen-Edebiyat Fakueltesi, Fizik Boeluemue, Kars (Turkey)
- Department of Physics, Faculty of Art and Sciences, Gazi University, 06500, Ankara (Turkey)

- Publication Date:

- OSTI Identifier:
- 21057258

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 899; Journal Issue: 1; Conference: 6. international conference of the Balkan Physical Union, Istanbul (Turkey), 22-26 Aug 2006; Other Information: DOI: 10.1063/1.2733448; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; EIGENFUNCTIONS; EIGENVALUES; ITERATIVE METHODS; PERTURBATION THEORY; POTENTIALS; SCHROEDINGER EQUATION; THREE-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Ugurlu, M., Ateser, E., and Ciftci, Hakan.
```*Simple Analytical Formula for Schroedinger Equation with Linear Potential in 3D*. United States: N. p., 2007.
Web. doi:10.1063/1.2733448.

```
Ugurlu, M., Ateser, E., & Ciftci, Hakan.
```*Simple Analytical Formula for Schroedinger Equation with Linear Potential in 3D*. United States. doi:10.1063/1.2733448.

```
Ugurlu, M., Ateser, E., and Ciftci, Hakan. Mon .
"Simple Analytical Formula for Schroedinger Equation with Linear Potential in 3D". United States.
doi:10.1063/1.2733448.
```

```
@article{osti_21057258,
```

title = {Simple Analytical Formula for Schroedinger Equation with Linear Potential in 3D},

author = {Ugurlu, M. and Ateser, E. and Ciftci, Hakan},

abstractNote = {In this paper, the asymptotic iteration method is used to study the Schroedinger equation for the linear potential in 3-dimensions. We have obtained a perturbation expansion in terms of energy function and by using these expansions we have calculated energy eigenvalues. The obtained eigenvalues are compared with exact ones.},

doi = {10.1063/1.2733448},

journal = {AIP Conference Proceedings},

number = 1,

volume = 899,

place = {United States},

year = {Mon Apr 23 00:00:00 EDT 2007},

month = {Mon Apr 23 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2733448

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