Wick Algebra, Diffusions, and Computations

In this chapter, we present useful formulas and derivations of the Wick productsWick products, especially those are computable to obtain insights into the way Wick calculusWick calculus differs from normal calculus. Assuming that we can express the stochastic variables in chemical transformationsChemical transformations as the Itô diffusionsItô diffusions having driftDrift and diffusionDiffusion terms, we derive necessary Wick products in our computations. Using Mathematica®Mathematica, we give some example computations, and the codes are given in the Appendix.