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.
Characterization of Product States on Polynomial Algebras in Terms of Scalar Products of the Associated n-Particle Vectors
Luigi Accardi
;
2020-01-01
Abstract
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.File in questo prodotto:
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