Characterization of Product States on Polynomial Algebras in Terms of Scalar Products of the Associated n-Particle Vectors
Luigi Accardi, Abdon Ebang Ella, Yun Gang Lu · Physics of Particles and Nuclei · 2020
Abstract We prove that, in the framework of generalized quantizations, orthogonality of $$n$$ -particle vectors corresponding to different multi-indexes, together with an additional condition on the norms of $$n$$ -particle vectors characterizes product states. Implications of this result for the non-linear quantization program are discussed.