scholarly journals The solitary solutions of nonlinear Klein-Gordon field with minimal length

2021 ◽  
pp. 136351
Author(s):  
A. Jahangiri ◽  
S. Miraboutalebi ◽  
F. Ahmadi ◽  
A.A. Masoudi
Keyword(s):  
Minimal Length ◽  
Solitary Solutions ◽  
Klein Gordon

Exact Solution of D -Dimensional Klein–Gordon Oscillator with Minimal Length

2010 ◽  
Vol 53 (2) ◽  
pp. 231-236 ◽  
Author(s):  
Y Chargui ◽  
L Chetouani ◽  
A Trabelsi
Keyword(s):  
Exact Solution ◽  
Minimal Length ◽  
Klein Gordon

Generalized Klein-Gordon and Dirac Equations from Nonlocal Kinetic Approach

2016 ◽  
Vol 71 (9) ◽  
pp. 817-821 ◽  
Author(s):  
Rami Ahmad El-Nabulsi
Keyword(s):  
Kinetic Energy ◽  
Energy Functional ◽  
Minimal Length ◽  
Energy Approach ◽  
Kinetic Approach ◽  
Generalized Equations ◽  
Functional Formalism ◽  
Dirac Equations ◽  
Klein Gordon ◽  
Kinetic Energy Functional

AbstractIn this note, I generalized the Klein-Gordon and the Dirac equations by using Suykens’s nonlocal-in-time kinetic energy approach, which is motivated from Feynman’s kinetic energy functional formalism where the position differences are shifted with respect to one another. I proved that these generalized equations are similar to those obtained in literature in the presence of minimal length based on the Quesne-Tkachuk algebra.

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>

(2+1)-dimensional Klein–Gordon oscillator under a magnetic field in the presence of a minimal length in the noncommutative space

2017 ◽  
Vol 32 (25) ◽  
pp. 1750148 ◽  
Author(s):  
Shu-Rui Wu ◽  
Zheng-Wen Long ◽  
Chao-Yun Long ◽  
Bing-Quan Wang ◽  
Yun Liu
Keyword(s):  
Magnetic Field ◽  
Momentum Space ◽  
Jacobi Polynomials ◽  
Energy Eigenvalue ◽  
Minimal Length ◽  
Numerical Results ◽  
Noncommutative Space ◽  
Space Representation ◽  
Special Cases ◽  
Klein Gordon

The (2[Formula: see text]+[Formula: see text]1)-dimensional Klein–Gordon oscillator under a magnetic field in the presence of a minimal length in the noncommutative (NC) space is analyzed via the momentum space representation. Energy eigenvalue of the system is obtained by employing the Jacobi polynomials. In further steps, the special cases are discussed and the corresponding numerical results are depicted, respectively.

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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