[Physics] What are the problems in trying to interpret the Klein-Gordon equation as a single particle equation

born-ruleklein-gordon-equationquantum mechanicsquantum-field-theory

What is the problem if we try to interpret KG equation as a single-particle equation? Also, I wish to know whether the born interpretation of wavefunction is applicable in relativistic quantum mechanics.

Best Answer

If you try to construct the probablilty current for the KG equation, its zero component $j^0$ is not positive definite, even though you want to interpret it as a probability.

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