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An Approach to Anti-Wick Ordering of Bosonic Fields
John E. Gough, Hideyasu Yamasita
https://arxiv.org/abs/2510.06425 https://arxiv.org/pdf/2510.06425

An Approach to Anti-Wick Ordering of Bosonic Fields
We present a new technique for putting general boson fields into ant-Wick ordered form. The anti-Wick map associates an operator with a given function of complex variables, and we show that it may be realized as composition of a mapping to a commutative sub-algebra of a doubled-up boson algebra followed by a partial conditional expectation onto one of the factors.