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.

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 CRYPTO-HERMITIAN APPROACH TO THE KLEIN–GORDON EQUATION

2017 ◽  
Vol 57 (6) ◽  
pp. 462 ◽  
Author(s):  
Iveta Semoradova
Keyword(s):  
Quantum Mechanics ◽  
Gordon Equation ◽  
Inner Product ◽  
Indefinite Inner Product ◽  
Probability Interpretation ◽  
Klein Gordon ◽  
Common Problems ◽  
Klein Gordon Equation

We explore the Klein-Gordon equation in the framework of crypto-Hermitian quantum mechanics. Solutions to common problems with probability interpretation and indefinite inner product of the Klein-Gordon equation are proposed.

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.

ALGEBRAIC APPROACH TO THE KLEIN–GORDON EQUATION WITH HYPERBOLIC SCARF POTENTIAL

2011 ◽  
Vol 20 (01) ◽  
pp. 55-61 ◽  
Author(s):  
SHISHAN DONG ◽  
SHI-HAI DONG ◽  
H. BAHLOULI ◽  
V. B. BEZERRA
Keyword(s):  
Quantum Mechanics ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Algebraic Approach ◽  
Supersymmetric Quantum Mechanics ◽  
Shape Invariance ◽  
One Dimensional ◽  
Scarf Potential ◽  
Klein Gordon ◽  
Klein Gordon Equation

Using the shape invariance approach we obtain exact solutions of one-dimensional Klein–Gordon equation with equal types of scalar and vector hyperbolic Scarf potentials. This is considered in the framework of supersymmetric quantum mechanics method.

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.

Sign in / Sign up

Export Citation Format

Share Document