Summary: An understanding of the second quantization operator of a constant times the identity operator and the Poissonian Wick product, without using the orthogonal Charlier polynomials, is presented first. We use both understanding, with and without the Charlier polynomials, to prove some inequalities about the norms of Poissonian Wick products. These inequalities are the best ones in the case of \(L^{1}\), \(L^{2}\), and \(L^{\infty}\) norms. We close the paper with some probabilistic interpretations of the Poissonian Wick product.