The asymptotic iteration method applied to certain quasinormal modes and non Hermitian systems

• Authors: Okan Özer , Pinaki Roy
• Languages of publication: EN

Abstracts

EN

We study the Schrödinger equation with potentials admitting quasinormal modes using the asymptotic iteration method (AIM). We also study non-Hermitian PT symmetric potentials using AIM. The spectra, in all cases, are found to be in excellent agreement with exact results.

Keywords

EN

asymptotic iteration; non-hermitian potentials

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 4
• Pages: 747-752

Dates

published

1 - 12 - 2009

online

21 - 7 - 2009

Contributors

author

Okan Özer

• Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310, Gaziantep, Turkey

author

Pinaki Roy

• Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta, 700035, India

References

• [1] H. Çiftci, R. L. Hall, N. Saad, J. Phys. A-Math. Gen. 36, 11807 (2003) http://dx.doi.org/10.1088/0305-4470/36/47/008[Crossref]
• [2] H. Çiftci, R. L. Hall, N. Saad, J. Phys. A-Math. Gen. 38, 1147 (2005) http://dx.doi.org/10.1088/0305-4470/38/5/015[Crossref]
• [3] O. Bayrak, I. Boztosun, H. Çiftci, Int. J. Quantum Chem. 107, 540 (2007) http://dx.doi.org/10.1002/qua.21141[Crossref]
• [4] N. Saad, R. L. Hall, H. Çiftci, J. Phys. A-Math. Gen. 39, 8477 (2006) http://dx.doi.org/10.1088/0305-4470/39/26/014[Crossref]
• [5] A. Soylu, O. Bayrak, I. Boztosun, J. Math. Phys 48, 082302 (2007) http://dx.doi.org/10.1063/1.2768436[Crossref]
• [6] T. Barakat, Phys. Lett. A 344, 411 (2005) http://dx.doi.org/10.1016/j.physleta.2005.06.081[Crossref]
• [7] A. J. Sous, Mod. Phys. Lett A 21, 1675 (2006) http://dx.doi.org/10.1142/S0217732306019918[Crossref]
• [8] S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, Oxford, England, 1983)
• [9] K. D. Kokkotas, B. G. Schmidt, Living Reviews in Relativity 2, 2 (1999)
• [10] H. T. Cho, C. L. Ho, J. Phys. A-Math. Gen. 40, 1325 (2007) http://dx.doi.org/10.1088/1751-8113/40/6/009[Crossref]
• [11] W. Magnus, F. Oberhettinger, R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer-Verlag, New York, 1966)
• [12] V. Ferrari, B. Mashoon, Phys. Rev D 30, 295 (1984) http://dx.doi.org/10.1103/PhysRevD.30.295[Crossref]
• [13] A. González-Lápez, N. Kamran, P. J. Olver, Commun. Math. Phys. 153, 117 (1993) http://dx.doi.org/10.1007/BF02099042[Crossref]
• [14] G. Lévai, M. Znojil, J. Phys. A-Math. Gen. 33, 7165 (2000) http://dx.doi.org/10.1088/0305-4470/33/40/313[Crossref]
• [15] G. Lévai, M. Znojil, Mod. Phys. Lett. A 30, 1973 (2001) http://dx.doi.org/10.1142/S0217732301005321[Crossref]

Identifiers

DOI

10.2478/s11534-009-0007-y