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 computations of specific cases it can only be utilized with the appropriate boundary conditions.

1.1. The Klein-Gordon equation
The Klein-Gordon equation is an equation of mathematical physics that describes spinless (spin-0 particles). It is given by: $$ \Box \psi = \left(\frac{mc}{\hbar }\right)^2 \psi $$ Here the $$\Box$$ symbol refers to the wave operator, or D'Alembertian, ($$\Box = \nabla^2 - \frac{1}{c^2} \partial^2_t$$) and $$\psi$$ is the wave function of a spinless particle.

1.10. Fine structure constant
The case $$Za > l/2$$

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