PlanetPhysics/Klein Gordon Equation 3
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The Klein-Gordon (KG) Scalar Relativistic Wave Equation
edit{\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
editThe Klein-Gordon equation is an equation of mathematical physics that describes spinless (spin-0 particles). It is given by:
Here the symbol refers to the wave operator, or D'Alembertian, ( ) and is the wave function of a spinless particle.
1.2. Relativistic energy levels of a spinless particle in a Coulomb field
edit1.3. Relativistic invanance of the de Broglie relations
edit1.4. Relativistic energy-momentum relation of a free particle
edit1.5. Charge and current density
edit1.5.1. Charge and current density in the presence of an electromagnetic field
edit1.6. Nonrelativistic limit
edit1.7. The initial data problem
edit1.8. Indefiniteness of the sign of charge
edit1.9. Interaction with an external electromagnetic field
edit1.10. Fine structure constant
editThe case
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