The Klein-Gordon equation with the Kratzer potential in d dimensions

• Authors: Nasser Saad , Richard Hall , Hakan Ciftci
• Languages of publication: EN

Abstracts

EN

We apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all the exact solutions; when the potentials are both of Kratzer type, we obtain all the exact solutions for S(r) = V(r); if S(r) > V(r) we obtain exact solutions under certain constraints on the potential parameters: in this case, a possible general solution is found in terms of a monic polynomial, whose coefficients form a set of elementary symmetric polynomials.

Keywords

EN

Klein-Gordon equation; relativistic wave equation; Coulomb potential; Kratzer potential; asymptotic iteration method

Discipline

• 03.65.Fd: Algebraic methods(see also 02.20.-a Group theory)
• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 3
• Pages: 717-729

Dates

published

1 - 9 - 2008

online

17 - 7 - 2008

Contributors

author

Nasser Saad

• Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI, Canada, C1A 4P3

author

Richard Hall

• Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, Canada, H3G 1M8

author

Hakan Ciftci

• Gazi Universitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500, Teknikokullar, Ankara, Turkey

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Identifiers

DOI

10.2478/s11534-008-0022-4