Scattering State of Klein-Gordon Particles by <math id="M1" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>q</mi></mrow></math> -Parameter Hyperbolic Poschl-Teller Potential
- Ikot, Akpan NdemTheoretical Physics Group, Department of Physics, University of Port Harcourt, PMB 5323, Choba, Port Harcourt, Nigeria
- Obong, Hillary P.(Theoretical Physics Group, Department of Physics, University of Port Harcourt, PMB 5323, Choba, Port Harcourt, Nigeria)
- Owate, Israel O.(Theoretical Physics Group, Department of Physics, University of Port Harcourt, PMB 5323, Choba, Port Harcourt, Nigeria)
- Onyeaju, Michael C.(Theoretical Physics Group, Department of Physics, University of Port Harcourt, PMB 5323, Choba, Port Harcourt, Nigeria)
- Hassanabadi, Hassan(Physics Department, University of Shahrood, Shahrood, Iran)
Publication date
October 2015
DOIAbstract
The one-dimensional Klein-Gordon equation for equal vector and scalar <math id="M2" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>q</mi></mrow></math> -parameter hyperbolic Poschl-Teller potential is solved in terms of the hypergeometric functions. We calculate in detail the solutions of the scattering and bound states. By virtue of the conditions of equation of continuity of the wave functions, we obtained explicit expressions for the reflection and transmission coefficients and energy equation for the bound state solutions
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