Path integral for Klein-Gordon particle in vector plus scalar Hulthén-type potentials

Chétouani, L.; Guéchi, L.; Lecheheb, A.; Hammann, T. F.; Messouber, A.

doi:10.1016/s0378-4371(96)00288-9

Cited by 51 publications

(48 citation statements)

References 45 publications

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“…So it is natural that the relativistic effects for a particle under the action of this potential could become important, especially for strong coupling. Therefore this problem has attracted a great deal of interests in solving the Klein-Gordon equation with the Hulthén potential [6][7][8][9]. Nevertheless, due to the centrifugal term, all works mentioned above can only give the analytic s-state solutions for this potential.…”

Section: Introductionmentioning

confidence: 99%

Any l-state solutions of the Klein–Gordon equation with the generalized Hulthén potential

2007

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Section: Introductionmentioning

confidence: 99%

Any l-state solutions of the Klein–Gordon equation with the generalized Hulthén potential

2007

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“…Obviously, (5) cannot be solved analytically due to the centrifugal term [33,34]. Therefore, we must use a proper approximation to the centrifugal term similar to other authors.…”

Section: Scattering States Of the Arbitrary L-wave Klein-gordon Equationmentioning

confidence: 99%

The Relativistic Scattering States of the Hulthén Potential with an Improved New Approximate Scheme to the Centrifugal Term

2009

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The approximately analytical scattering state solutions of the l-wave KleinGordon equation with the unequal scalar and vector Hulthén potentials are carried out by an improved new approximate scheme to the centrifugal term. The normalized analytical radial wave functions of the l-wave Klein-Gordon equation with the mixed Hulthén potentials are presented and the corresponding calculation formula of phase shifts is derived. It is well shown that the energy levels of the continuum states reduce to those of the bound states at the poles of the scattering amplitude. Some useful figures are plotted to show the improved accuracy of our results and two special cases for s-wave (l = 0) and for l = 0 and equal scalar and vector Hulthén potentials are also studied briefly.

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“…When = 0 ( -wave ), Eq. (5) can be exactly solved [18][19][20], but for the case = 0, Eq. (5) cannot be exactly solved.…”

Section: The Approximate Analytical Solutions Of Scattering Statesmentioning

confidence: 99%

“…In the nonrelativistic case, for nonzero angular momentum, several techniques were used to obtain approximate solutions, a number of methods have been used to find the boundstate energy eigenvalues numerically [9,10] and quasianalytically, such as the variational [9,11], perturbation [12], shifted 1/N expansion [13,14], SUSYQM [15,16], and AIM [17] methods. In the relativistic case, DominguezAdame [18], Chetouani et al [19], and Talukdar et al [20] …”

Section: Introductionmentioning

confidence: 99%

Approximate analytical solutions of scattering states for Klein-Gordon equation with Hulthén potentials for nonzero angular momentum

Chen

Sun

2008

Open Physics

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Abstract:In this paper, using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Klein-Gordon equation with the vector and scalar Hulthén potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of -waves scattering states are presented. The normalized wave functions expressed in terms of hypergeometric functions of scattering states on the " /2π scale" and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solution is discussed.

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Path integral for Klein-Gordon particle in vector plus scalar Hulthén-type potentials

Cited by 51 publications

References 45 publications

Any l-state solutions of the Klein–Gordon equation with the generalized Hulthén potential

Any l-state solutions of the Klein–Gordon equation with the generalized Hulthén potential

The Relativistic Scattering States of the Hulthén Potential with an Improved New Approximate Scheme to the Centrifugal Term

Approximate analytical solutions of scattering states for Klein-Gordon equation with Hulthén potentials for nonzero angular momentum

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