论文标题
bogoliubov的转换页岩 - 线索超越：玻色子的通用$ v^* v $
Bogoliubov Transformations Beyond Shale-Stinespring: Generic $ v^* v $ for bosons
论文作者
论文摘要
我们构建了Fock空间的扩展，并证明它允许在一定的扩展意义上实现玻璃纤维Bogoliubov转换。虽然只有当某个操作员$ v^* v $是跟踪类（这是著名的页岩弹簧条件）时，才有可能在Fock空间上实现实现。这概括了扩展可实施性的最新结果，该结果需要$ v^* v $具有离散频谱。
We construct an extension of Fock space and prove that it allows for implementing bosonic Bogoliubov transformations in a certain extended sense. While an implementation in the regular sense on Fock space is only possible if a certain operator $ v^* v $ is trace class (this is the well-known Shale-Stinespring condition), the extended implementation works without any restrictions on this operator. This generalizes a recent result of extended implementability, which required $ v^* v $ to have discrete spectrum.
