scholarly journals Instability of standing waves for the Klein-Gordon-Schrödinger system

2008 ◽  
Vol 37 (4) ◽  
pp. 735-748 ◽  
Author(s):  
Hiroaki KIKUCHI ◽  
Masahito OHTA
Keyword(s):  
Standing Waves ◽  
Klein Gordon ◽  
Schrödinger System

Stable standing waves for the two-dimensional Klein–Gordon–Schrödinger system

2010 ◽  
Vol 140 (5) ◽  
pp. 1011-1039 ◽  
Author(s):  
Hiroaki Kikuchi
Keyword(s):  
General Theory ◽  
Perturbation Method ◽  
Ground State ◽  
Standing Waves ◽  
Orbital Stability ◽  
Two Dimensional ◽  
Spatial Dimensions ◽  
Klein Gordon ◽  
Linearized Operator ◽  
Schrödinger System

AbstractWe study the orbital stability of standing waves for the Klein–Gordon–Schrödinger system in two spatial dimensions. It is proved that the standing wave is stable if the frequency is sufficiently small. To prove this, we obtain the uniqueness of ground state and investigate the spectrum of the appropriate linearized operator by using the perturbation method developed by Genoud and Stuart and Lin and Wei. Then we apply to our system the general theory of Grillakis, Shatah and Strauss.

Klein-Gordon-Schrödinger system: Dinucleon field

2017 ◽  
Vol 58 (11) ◽  
pp. 111509 ◽  
Author(s):  
Yanping Ran ◽  
Qihong Shi
Keyword(s):  
Klein Gordon ◽  
Schrödinger System

Nonrelativistic and relativistic bound state solutions of the molecular Tietz potential via the improved asymptotic iteration method

2014 ◽  
Vol 92 (3) ◽  
pp. 215-220 ◽  
Author(s):  
W.A. Yahya ◽  
K. Issa ◽  
B.J. Falaye ◽  
K.J. Oyewumi
Keyword(s):  
Iteration Method ◽  
Vibrational Energy ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Quantum Numbers ◽  
Approximate Analytical Solutions ◽  
Relative Closeness ◽  
Klein Gordon ◽  
Tietz Potential ◽  
Schrödinger System

We have obtained the approximate analytical solutions of the relativistic and nonrelativistic molecular Tietz potential using the improved asymptotic iteration method. By approximating the centrifugal term through the Greene–Aldrich approximation scheme, we have obtained the energy eigenvalues and wave functions for all orbital quantum numbers [Formula: see text]. Where necessary, we made comparison with the result obtained previously in the literature. The relative closeness of the two results reveal the accuracy of the method presented in this study. We proceed further to obtain the rotational-vibrational energy spectrum for some diatomic molecules. These molecules are CO, HCl, H2, and LiH. We have also obtained the relativistic bound state solution of the Klein−Gordon equation with this potential. In the nonrelativistic limits, our result converges to that of the Schrödinger system.

Sign in / Sign up

Export Citation Format

Share Document