scholarly journals Klein-Gordon Equation and Wave Function in Cosmological Special Theory of Relativity

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Wave Function ◽  
Gordon Equation ◽  
Special Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Klein Gordon ◽  
Klein Gordon Equation

In the Cosmological Special Theory of Relativity, we study energy-momentum relations, Klein-Gordon equation and wave function.

scholarly journals Schrodinger Equation in Cosmological Inertial Frame

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Wave Equation ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Inertial Frame ◽  
Special Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Klein Gordon

Schrodinger equation is a wave equation. Wave function uses as a probability amplitude in quantum mechanics. We make Schrodinger equation from Klein-Gordon free particle’s wave function in cosmological special theory of relativity.

scholarly journals Dirac Equation in Cosmological Inertial Frame

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Wave Equation ◽  
Dirac Equation ◽  
Inertial Frame ◽  
Gordon Equation ◽  
Probability Amplitude ◽  
Function Type ◽  
Klein Gordon ◽  
Klein Gordon Equation

Dirac equation is a one order-wave equation. Wave function uses as a probability amplitude in quantum mechanics. We make Dirac Equation from wave function, Type A in cosmological inertial frame.The Dirac equation satisfy Klein-Gordon equation in cosmological inertial frame.

scholarly journals Klein-Gordon Equation and Wave Function in Robertson-Walker and Schwarzschild space-tim

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Wave Function ◽  
Wave Equations ◽  
Gordon Equation ◽  
Space Time ◽  
Wave Functions ◽  
Relativity Theory ◽  
General Relativity Theory ◽  
Gauge Fixing ◽  
Klein Gordon ◽  
Klein Gordon Equation

In the general relativity theory, we find Klein-Gordon wave functions in Robertson-Walker and Schwarzschild space-time. Specially, this article is that Klein-Gordon wave equations is treated by gauge fixing equations in Robertson-Walker space-time and Schwarzschild space-time.

Bound state solutions of the hyper-radial Klein-Gordon equation under the Deng-Fan potential by WKB and SWKB method

2021 ◽  
Author(s):  
Ekwevugbe Omugbe ◽  
Omosede Eromwon Osafile ◽  
Etido P. Inyang ◽  
Arezu Jahanshir
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Gordon Equation ◽  
Energy Levels ◽  
Bound State ◽  
Ground State Wave Function ◽  
Wkb Approximation ◽  
Energy Spectra ◽  
Klein Gordon ◽  
Klein Gordon Equation

Abstract The energy levels of the Klein-Gordon equation in hyper-radial space under the Deng-Fan potential energy function are studied by the SWKB and WKB approximation methods. We obtained the analytic solution of the energy spectra and the ground state wave function in closed form. Furthermore, we obtained the energy equation corresponding to the Schrodinger equation by invoking the non-relativistic limit. The variations of the non-relativistic N-dimensional energy spectra with the potential parameters and radial quantum number are investigated. The energy levels are degenerate for N= 2, N=4 and increase with the dimensionality number. The ground state wave function and its gradient are continuous at the boundary r=0,r=∞. Our results for the energy spectra are in excellent agreement with the ones obtained by other analytical methods where similar centrifugal approximations were applied. We show that the semi-classical methods notably the SWKB and WKB approximation still offer an effective and the simplest approach for solving the bound state problems in theoretical physics.

scholarly journals Klein-Gordon Equation and Wave Function for Free Particle in Rindler Space-Time

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Wave Function ◽  
Gordon Equation ◽  
Free Particle ◽  
Space Time ◽  
Spinless Particle ◽  
Relativistic Wave Equation ◽  
Relativistic Wave ◽  
Rindler Space ◽  
Klein Gordon ◽  
Klein Gordon Equation

Klein-Gordon equation is a relativistic wave equation. It treats spinless particle. The wave functioncannot use as a probability amplitude. We made Klein-Gordon equation in Rindler space-time. In this paper,we make free particle’s wave function as the solution of Klein-Gordon equation in Rindler space-time.

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>

scholarly journals Quantization of Klein-Gordon Scalar Field in Cosmological Inertial Frame

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Scalar Field ◽  
Inertial Frame ◽  
Special Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Klein Gordon

In the Cosmological Special Theory of Relativity, we quantized Klein-Gordon scalar field. We treatLagrangian density and Hamiltonian in quantized Klein-Gordon scalar field in the Cosmological SpecialTheory of Relativity

scholarly journals Bound-State Solutions of the Klein-Gordon Equation with -Deformed Equal Scalar and Vector Eckart Potential Using a Newly Improved Approximation Scheme

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Ita O. Akpan ◽  
Akaninyene D. Antia ◽  
Akpan N. Ikot
Keyword(s):  
Wave Function ◽  
Approximation Scheme ◽  
Gordon Equation ◽  
Bound State ◽  
Arbitrary State ◽  
Eckart Potential ◽  
Special Cases ◽  
Klein Gordon ◽  
Equal Scalar ◽  
Klein Gordon Equation

We present the analytical solutions of the Klein-Gordon equation for q-deformed equal vector and scalar Eckart potential for arbitrary -state. We obtain the energy spectrum and the corresponding unnormalized wave function expressed in terms of the Jacobi polynomial. We also discussed the special cases of the potential.

scholarly journals A Variational Formulation for the Relativistic Klein-Gordon Equation

2018 ◽  
Vol 40 ◽  
pp. 57
Author(s):  
Fabio Silva Botelho
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Variational Formulation ◽  
Gordon Equation ◽  
Function Concept ◽  
Normal Field ◽  
Klein Gordon ◽  
Definition Of ◽  
Classical And Quantum Mechanics ◽  
Klein Gordon Equation

This article develops a variational formulation for the relativistic Klein-Gordon equation.The main results are obtained through a connection between classical and quantum mechanics. Such a connection is established through the definition of  normal field and its relation with the wave function concept.

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