Abstract
Two simple proofs of the result that a relativistic summational invariant ψ is a linear combination of the momentum four-vector p α are given by assuming that ψ is a continuous and differentiable function of class C 2. The results can be extended to the case when ψ is just assumed to be a generalized function.
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Cercignani, C., Kremer, G.M. On Relativistic Collisional Invariants. Journal of Statistical Physics 96, 439–445 (1999). https://doi.org/10.1023/A:1004545104959
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DOI: https://doi.org/10.1023/A:1004545104959