PlanetPhysics/Klein Gordon Equation 3

This is a contributed Topic.

The Klein-Gordon (KG) Scalar Relativistic Wave Equation

{\mathbf Remarks:} The KG-equation is a Lorentz invariant expression. For specific [[../LQG2/|computations]] of specific cases it can only be utilized with the appropriate [[../GenericityInOpenSystems/|boundary]] conditions.

1.1. The Klein-Gordon equation

The Klein-Gordon equation is an equation of [[../PhysicalMathematics2/|mathematical physics]] that describes spinless (spin-0 [[../Particle/|particles]]). It is given by:

$◻\psi ={\left(\frac{mc}{\hslash }\right)}^2\psi$

Here the $◻$ symbol refers to the [[../DAlembertOperator/|wave operator]], or D'Alembertian, ($◻={\mathrm{\nabla }}^2-\frac{1}{c^2}\underset{t}{\overset{2}{\partial }}$) and $\psi$ is the [[../CosmologicalConstant/|wave]] [[../Bijective/|function]] of a spinless particle.

1.10. Fine structure constant

The case $Za>l/2$

test