scholarly journals Existence and multiplicity of stable bound states for the nonlinear Klein–Gordon equation

2010 ◽  
Vol 72 (3-4) ◽  
pp. 2031-2046 ◽  
Author(s):  
Claudio Bonanno
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Existence And Multiplicity ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Bound states of a Klein–Gordon particle in the presence of a smooth potential well

2020 ◽  
Vol 35 (23) ◽  
pp. 2050140
Author(s):  
Eduardo López ◽  
Clara Rojas
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Bound State ◽  
Potential Well ◽  
One Dimensional ◽  
Smooth Potential ◽  
Klein Gordon ◽  
The One ◽  
Potential Parameters ◽  
Klein Gordon Equation

We solve the one-dimensional time-independent Klein–Gordon equation in the presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker [Formula: see text] function, and the antiparticle bound state is discussed in terms of potential parameters.

THE RELATIVISTIC BOUND AND SCATTERING STATES OF THE ECKART POTENTIAL WITH A PROPER NEW APPROXIMATE SCHEME FOR THE CENTRIFUGAL TERM

2009 ◽  
Vol 24 (01) ◽  
pp. 161-172 ◽  
Author(s):  
GAO-FENG WEI ◽  
SHI-HAI DONG ◽  
V. B. BEZERRA
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Scattering Amplitude ◽  
Centrifugal Term ◽  
Radial Wave ◽  
Scattering States ◽  
Special Cases ◽  
Scattering State ◽  
Klein Gordon ◽  
Klein Gordon Equation

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.

scholarly journals BOUND STATES OF THE KLEIN–GORDON EQUATION IN THE PRESENCE OF SHORT RANGE POTENTIALS

2006 ◽  
Vol 21 (02) ◽  
pp. 313-325 ◽  
Author(s):  
VÍCTOR M. VILLALBA ◽  
CLARA ROJAS
Keyword(s):  
Short Range ◽  
Bound States ◽  
Gordon Equation ◽  
Bound State ◽  
One Dimensional ◽  
Klein Gordon ◽  
Klein Gordon Equation

We solve the Klein–Gordon equation in the presence of a spatially one-dimensional cusp potential. The bound state solutions are derived and the antiparticle bound state is discussed.

Klein–Gordon oscillator in the presence of a Cornell potential in the cosmic string space-time

2019 ◽  
Vol 16 (04) ◽  
pp. 1950054 ◽  
Author(s):  
M. Hosseini ◽  
H. Hassanabadi ◽  
S. Hassanabadi ◽  
P. Sedaghatnia
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Gordon Equation ◽  
Space Time ◽  
Cornell Potential ◽  
Noninertial Effects ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper, we find solutions for the Klein–Gordon equation in the presence of a Cornell potential under the influence of noninertial effects in the cosmic string space-time. Then, we study Klein–Gordon oscillator in the cosmic string space-time. In addition, we show that the presence of a Cornell potential causes the forming bound states for the Klein–Gordon equation in this kind of background.

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

Open Physics ◽  
2009 ◽  
Vol 7 (1) ◽  
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.

Bound states of the Klein–Gordon equation with vector and scalar Rosen–Morse-type potentials

2004 ◽  
Vol 333 (3-4) ◽  
pp. 212-217 ◽  
Author(s):  
Liang-Zhong Yi ◽  
Yong-Feng Diao ◽  
Jian-Yi Liu ◽  
Chun-Sheng Jia
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation
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