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.

中文翻译：

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根据相关n粒子向量的标量积，描述多项式代数上的乘积状态

摘要

我们证明了，在广义quantizations的框架内，的正交\（N \）对应于不同的多索引-粒子的载体，与规范的附加条件一起\（N \） -粒子矢量表征产品的状态。讨论了该结果对非线性量化程序的影响。