On the spaces of positive and negative frequency solutions of the Klein-Gordon equation in curved space-times

1980 ◽  
Vol 17 (3) ◽  
pp. 333-358 ◽  
Author(s):  
Carlos Moreno
Keyword(s):  
Gordon Equation ◽  
Curved Space ◽  
Klein Gordon ◽  
Klein Gordon Equation

GORDON DECOMPOSITION OF DIRAC SPINORS IN GRAVITATIONAL BACKGROUND

1992 ◽  
Vol 07 (19) ◽  
pp. 1707-1714
Author(s):  
D. PARASHAR
Keyword(s):  
Gordon Equation ◽  
Curved Space ◽  
Walker Metric ◽  
Klein Gordon ◽  
Space Formalism ◽  
The Universe ◽  
Dirac Current ◽  
Dirac Spinors ◽  
Klein Gordon Equation ◽  
Gravitational Background

The scheme outlined earlier is continued here to investigate the structure of Dirac spinors in the background of a gravitational field within the context of cosmological Robertson-Walker metric where the treatment is based on general considerations of spatially curved (non-flat) hypersurfaces embracing open as well as closed versions of the Universe. A Gordon decomposition of the generalized Dirac current is then carried out in terms of the polarization and the magnetization densities. We also take a look at the Klein-Gordon equation in the curved space formalism.

scholarly journals Klein–Gordon equation in curved space-time

2018 ◽  
Vol 39 (4) ◽  
pp. 045405 ◽  
Author(s):  
R D Lehn ◽  
S S Chabysheva ◽  
J R Hiller
Keyword(s):  
Gordon Equation ◽  
Space Time ◽  
Curved Space ◽  
Klein Gordon ◽  
Klein Gordon Equation

HIGHER-DIMENSIONAL GEOMETRIC DESCRIPTION OF THE QUANTUM KLEIN–GORDON EQUATION

2013 ◽  
Vol 10 (09) ◽  
pp. 1320014 ◽  
Author(s):  
BENJAMIN KOCH
Keyword(s):  
Electromagnetic Field ◽  
Gordon Equation ◽  
Bohmian Mechanics ◽  
External Electromagnetic Field ◽  
Geometrical Theory ◽  
Geometric Description ◽  
Curved Space ◽  
Higher Dimensional ◽  
Klein Gordon ◽  
Klein Gordon Equation

It is shown that the equations of relativistic Bohmian mechanics for multiple bosonic particles have a dual description in terms of a classical theory of conformally "curved" space-time. This shows that it is possible to formulate quantum mechanics as a purely classical geometrical theory. The results are further generalized to interactions with an external electromagnetic field.

SOLUTION OF THE KLEIN–GORDON EQUATION IN A 2 + 1 CURVED SPACE–TIME

2001 ◽  
Vol 16 (18) ◽  
pp. 1151-1156
Author(s):  
TINA A. HARRIOTT ◽  
J. G. WILLIAMS
Keyword(s):  
Scalar Field ◽  
Bessel Functions ◽  
Gordon Equation ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Whittaker Functions ◽  
Curved Space ◽  
Standard Manner ◽  
Klein Gordon ◽  
Klein Gordon Equation

The Klein–Gordon equation for a massless scalar field is considered for an extended matter source in 2 + 1 dimensions. It is shown how a solution can be found using Whittaker functions and can be normalized in the standard manner. In the point source limit, the solution reduces to the usual expression in terms of Bessel functions.

scholarly journals Fractional Klein-Gordon equation with singular mass

2021 ◽  
Vol 143 ◽  
pp. 110579
Author(s):  
Arshyn Altybay ◽  
Michael Ruzhansky ◽  
Mohammed Elamine Sebih ◽  
Niyaz Tokmagambetov
Keyword(s):  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation
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