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Solitary-particle quantum mechanics' inherent compatibility with specialrelativity is implicit in Schroedinger's postulated wave-function rule for theoperator quantization of the particle's canonical three-momentum, takentogether with his famed time-dependent wave-function equation that analogouslytreats the operator quantization of its Hamiltonian. The resulting formallyfour-vector equation system assures proper relativistic covariance for anysolitary-particle Hamiltonian operator which, together with its canonicalthree-momentum operator, is a Lorentz-covariant four-vector operator. This, ofcourse, is always the case for the quantization of the Hamiltonian of aproperly relativistic classical theory, so the strong correspondence principledefinitely remains valid in the relativistic domain. Klein-Gordon theoryimpairs this four-vector equation by iterating and contracting it, therebyinjecting extraneous negative-energy solutions that are not orthogonal to theirpositive-energy counterparts of the same momentum, thus destroying the basis ofthe quantum probability interpretation. Klein-Gordon theory, which thus dependson the square of the Hamiltonian operator, is as well thereby cut adrift fromHeisenberg's equations of motion. Dirac theory confuses the space-time symmetryof the four-vector equation system with such symmetry for its time componentalone, which it fatuously imposes, thereby breaching the strong correspondenceprinciple for the free particle and imposing the starkly unphysicalmomentum-independence of velocity. Physically sensible alternatives, withexternal electromagnetic fields, to the Klein-Gordon and Dirac equations arederived, and the simple, elegant symmetry-based approach to antiparticles ispointed out.

The basis of quantum mechanics' compatibility with relativity--whose impairment gives rise to the Klein-Gordon and Dirac equations