Implementing symmetries of a free Bose field via white noise operators (Q1566032)

Linear symmetries of a free Bose field are exploited in the framework of Hida's white noise functional triple. General symplectic automorphisms on the particle space are implemented by generalized operators. The intertwining operators are constructed in a physically intuitive way, characterized analytically in terms of symbols, and factorized into three fundamental parts according to Wick ordering procedure. In particular, the classical Shale's theorem is rederived.