DOI: 10.3390/math14132263 ISSN: 2227-7390
Wick Products Under Bogoliubov Transformations on Guichardet–Fock Space
Jihong Zhang, Xiaochun SunWe construct Wick products by creation and annihilation operators on Guichardet–Fock spaces F and obtain commutation relations and s—adapted characters about the Wick products. Meanwhile, we introduce a concept of singular Bogoliubov transformation on Guichardet–Fock space, and prove that the Wick product under the singular Bogoliubov transformation still satisfies the commutative relationships.