Scattering state of Klein-Gordon particles by \(q\)-parameter hyperbolic Poschl-Teller potential. (English) Zbl 1366.81151
Summary: The one-dimensional Klein-Gordon equation for equal vector and scalar \(q\)-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.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81U05 | \(2\)-body potential quantum scattering theory |
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