Characterization of Product States on Polynomial Algebras in Terms of Scalar Products of the Associated n-Particle Vectors

We prove that, in the framework of generalized quantizations, orthogonality of -particle vectors corresponding to different multi-indexes, together with an additional condition on the norms of -particle vectors characterizes product states. Implications of this result for the non-linear quantization...

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Bibliographic Details
Published in:Physics of particles and nuclei 2020-07, Vol.51 (4), p.387-392
Main Authors: Luigi Accardi, Ella, Abdon Ebang, Lu, Yun Gang
Format: Article
Language:English
Subjects:
Particle and Nuclear Physics
Physics
Physics and Astronomy
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Summary:We prove that, in the framework of generalized quantizations, orthogonality of -particle vectors corresponding to different multi-indexes, together with an additional condition on the norms of -particle vectors characterizes product states. Implications of this result for the non-linear quantization program are discussed.
ISSN:1063-7796
1531-8559
DOI:10.1134/S1063779620040036