Fundamental properties of Wick product of generalized operators are investigated. The annihilation and creation algebras are characterized from various points of view. Wick ordering widely used in quantum physics is i...Fundamental properties of Wick product of generalized operators are investigated. The annihilation and creation algebras are characterized from various points of view. Wick ordering widely used in quantum physics is interpreted as the Wick product of generalized operators.展开更多
A new (non-unitary) representation of the general linear group of white noise space on Hida’s test and distribution spaces is presented. The relevant representative operators are natural generalization of Fourier-Meh...A new (non-unitary) representation of the general linear group of white noise space on Hida’s test and distribution spaces is presented. The relevant representative operators are natural generalization of Fourier-Mehler transforms.展开更多
文摘Fundamental properties of Wick product of generalized operators are investigated. The annihilation and creation algebras are characterized from various points of view. Wick ordering widely used in quantum physics is interpreted as the Wick product of generalized operators.
文摘A new (non-unitary) representation of the general linear group of white noise space on Hida’s test and distribution spaces is presented. The relevant representative operators are natural generalization of Fourier-Mehler transforms.
