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Title: 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:
;  [1];  [2]
  1. Kafkas Ueniversitesi, Fen-Edebiyat Fakueltesi, Fizik Boeluemue, Kars (Turkey)
  2. 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}
}
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