Bound and Scattering State Solutions of the Klein–Gordon Equation with Deng–Fan Potential in Higher Dimensions

The approximately analytical bound and scattering state solutions of the arbitrary l wave Klein–Gordon equation for mixed Eckart potentials are obtained through a proper new approximation to the centrifugal term. The normalized analytical radial wave functions of the l wave Klein–Gordon equation with the mixed Eckart potentials are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is shown that the energy levels of the continuum states reduce to those of the bound states at the poles of the scattering amplitude. Two special cases — for the s wave and for l = 0 and β = 0 — are also studied, briefly.

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The relativistic bound and scattering states of the Manning-Rosen potential with an improved new approximate scheme to the centrifugal term

Open Physics ◽

10.2478/s11534-008-0143-9 ◽

2009 ◽

Vol 7 (1) ◽

Cited By ~ 27

Author(s):

Gao-Feng Wei ◽

Zhi-Zhong Zhen ◽

Shi-Hai Dong

Keyword(s):

Bound States ◽

Gordon Equation ◽

Scattering Amplitude ◽

Energy Levels ◽

Centrifugal Term ◽

Radial Wave ◽

Scattering States ◽

Scattering State ◽

Klein Gordon ◽

Klein Gordon Equation

AbstractThe approximately analytical bound and scattering state solutions of the arbitrary l-wave Klein-Gordon equation for the mixed Manning-Rosen potentials are carried out by an improved new approximation to the centrifugal term. The normalized analytical radial wave functions of the l-wave Klein-Gordon equation with the mixed Manning-Rosen potentials are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is shown that the energy levels of the continuum states, reduce to the bound states of those at the poles of the scattering amplitude. Some useful figures are plotted to show the improved accuracy of our results and the special case for wave is studied briefly.

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Bound and Scattering State of Position Dependent Mass Klein–Gordon Equation with Hulthen Plus Deformed-Type Hyperbolic Potential

Few-Body Systems ◽

10.1007/s00601-016-1111-3 ◽

2016 ◽

Vol 57 (9) ◽

pp. 807-822 ◽

Cited By ~ 10

Author(s):

A. N. Ikot ◽

H. P. Obong ◽

T. M. Abbey ◽

S. Zare ◽

M. Ghafourian ◽

...

Keyword(s):

Gordon Equation ◽

Scattering State ◽

Klein Gordon ◽

Hyperbolic Potential ◽

Dependent Mass ◽

Position Dependent Mass ◽

Klein Gordon Equation

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THE APPROXIMATE ANALYTICAL SOLUTIONS OF THE KLEIN–GORDON EQUATION WITH THE SECOND PÖSCHL–TELLER LIKE POTENTIAL FOR NONZERO ANGULAR MOMENTUM

Modern Physics Letters A ◽

10.1142/s0217732309028825 ◽

2009 ◽

Vol 24 (17) ◽

pp. 1371-1382 ◽

Cited By ~ 1

Author(s):

WEN-LI CHEN ◽

GAO-FENG WEI ◽

WEN-CHAO QIANG

Keyword(s):

Bound States ◽

Gordon Equation ◽

S Wave ◽

Radial Wave ◽

Scattering States ◽

Approximate Analytical Solutions ◽

Scattering State ◽

Klein Gordon ◽

Energy Plane ◽

Klein Gordon Equation

The approximate analytical bound and scattering state solutions of the arbitrary l-wave Klein–Gordon equation for the second Pöschl–Teller like potential are carried out by a new approximation to the centrifugal term. The analytical radial wave functions of the l-wave Klein–Gordon equation with the second Pöschl–Teller like potential are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is well shown that the poles of S-matrix in the complex energy plane correspond to bound states for real poles and scattering states for complex poles in the lower half of the energy plane. Some numerical results are calculated to show the improved accuracy of our results and the special case for s-wave is also studied briefly.

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