论文标题
严格变形量化的注入性张量产品
Injective tensor products in strict deformation quantization
论文作者
论文摘要
本文的目的是两个方面。首先，我们为存在泊松代数的代数张量产物的严格变形量化提供了必要和足够的标准，其次，我们讨论了KMS国家产物的存在。作为应用程序，我们讨论了旋转系统中量子和古典汉顿量之间的对应关系，并提供了Schödinger运算符的分解之间的关系，用于非相互作用的多粒子系统和量化图。
The aim of this paper is two-fold. Firstly we provide necessary and sufficient criteria for the existence of a strict deformation quantization of algebraic tensor products of Poisson algebras, and secondly, we discuss the existence of products of KMS states. As an application, we discuss the correspondence between quantum and classical Hamiltonians in spin systems and we provide a relation between the resolvent of Schödinger operators for non-interacting many-particle systems and quantization maps.
