scholarly journals Exact solution of the Klein–Gordon equation in the presence of a minimal length

2009 ◽  
Vol 373 (14) ◽  
pp. 1239-1241 ◽  
Author(s):  
T.K. Jana ◽  
P. Roy
Keyword(s):  
Exact Solution ◽  
Gordon Equation ◽  
Minimal Length ◽  
Klein Gordon ◽  
Klein Gordon Equation

Exact Solution of Klein–Gordon Equation for Hua Plus Modified Eckart Potentials

2013 ◽  
Vol 54 (11) ◽  
pp. 2017-2025 ◽  
Author(s):  
H. Hassanabadi ◽  
B. H. Yazarloo ◽  
S. Zarrinkamar
Keyword(s):  
Exact Solution ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Resonant frequencies of the hydrodynamic vortex

2017 ◽  
Vol 26 (04) ◽  
pp. 1750035 ◽  
Author(s):  
H. S. Vieira
Keyword(s):  
Exact Solution ◽  
Complex Number ◽  
Gordon Equation ◽  
Exact Expression ◽  
Radial Part ◽  
Resonant Frequencies ◽  
Heun Functions ◽  
Klein Gordon ◽  
Klein Gordon Equation

We study the sound perturbation of the hydrodynamic vortex geometry and present an exact expression for the resonant frequencies (quasispectrum) of this geometry. Exact solution for the radial part of the covariant Klein–Gordon equation in this spacetime is obtained, and is given in terms of the double confluent Heun functions. We found that the resonant frequencies are complex number.

scholarly journals The minimal length case of the Klein Gordon equation with hyperbolic cotangent potential using Nikivorof-Uvarof Method

2020 ◽  
Vol 4 (1) ◽  
pp. 1
Author(s):  
Isnaini Lilis Elviyanti ◽  
Ahmad Aftah Syukron
Keyword(s):  
Wave Function ◽  
Approximate Solution ◽  
Gordon Equation ◽  
Energy Eigenvalue ◽  
Minimal Length ◽  
Klein Gordon ◽  
Klein Gordon Equation

<p class="Abstract"><span lang="EN-GB">The case of minimal length is applied for the Klein Gordon equation with hyperbolic cotangent potential. The Klein Gordon equation for minimal length case is solved used to approximate solution. The energy eigenvalue and wave function are investigated by the Nikivorof-Uvarof method.</span></p>

Spinless Particle in a Magnetic Field Under Minimal Length Scenario

2016 ◽  
Vol 71 (6) ◽  
pp. 481-485 ◽  
Author(s):  
S.M. Amirfakhrian
Keyword(s):  
Magnetic Field ◽  
Numerical Method ◽  
Uncertainty Principle ◽  
Gordon Equation ◽  
Minimal Length ◽  
Spinless Particle ◽  
Energy Eigenvalues ◽  
Klein Gordon ◽  
Klein Gordon Equation

AbstractIn this article, we studied the Klein–Gordon equation in a generalised uncertainty principle (GUP) framework which predicts a minimal uncertainty in position. We considered a spinless particle in this framework in the presence of a magnetic field, applied in the z-direction, which varies as ${1 \over {{x^2}}}.$ We found the energy eigenvalues of this system and also obtained the correspounding eigenfunctions, using the numerical method. When GUP parameter tends to zero, our solutions were in agreement with those obtained in the absence of GUP.

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