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Difficulties with the Klein-Gordon Equation

E. Comay
Year: 2004 Pages: 18
Keywords: Relativistic Quantum Mechanics, Klein-Gordon Equation
Relying on the variational principle, it is proved that new contradictions emerge from an analysis of the Lagrangian density of the Klein-Gordon field: normalization problems arise and interaction with external electromagnetic fields cannot take place. By contrast, the Dirac equation is free of these problems. Other inconsistencies arise if the Klein-Gordon field is regarded as a classical field.