In probability theory, the Wick product is a particular way of defining an adjusted product of a set of random variables. In the lowest order product the adjustment corresponds to subtracting off the mean value, to leave a result whose mean is zero. For the higher order products the adjustment involves subtracting off lower order (ordinary) products of the random variables, in a symmetric way, again leaving a result whose mean is zero. The Wick product is a polynomial function of the random variables, their expected values, and expected values of their products.
The definition of the Wick product immediately leads to the Wick power of a single random variable and this allows analogues of other functions of random variables to be defined on the basis of replacing the ordinary powers in a power-series expansions by the Wick powers. The Wick powers of commonly-seen random variables can be expressed in terms of special functions such as Bernoulli polynomials or Hermite polynomials.
The Wick product is named after physicist Gian-Carlo Wick, cf. Wick's theorem.
probability theory, the Wickproduct is a particular way of defining an adjusted product of a set of random variables. In the lowest order product the adjustment...
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field theory. The Wick rotation, Wick contraction, Wick's theorem, and the Wickproduct are named after him. Gian Carlo Wick, first name "Gian Carlo", was...
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In physics, Wick rotation, named after Italian physicist Gian Carlo Wick, is a method of finding a solution to a mathematical problem in Minkowski space...
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Mathematica. 34: 135–148. Retrieved 13 December 2012. Feynman diagrams and Wickproducts associated with q-Fock space - noncommutative analysis, Edward G. Effros...
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H_{n}(x)} . Sheffer sequence Umbral calculus Generalized Appell polynomials Wickproduct Appell, Paul (1880). "Sur une classe de polynômes". Annales Scientifiques...
theory a product of quantum fields, or equivalently their creation and annihilation operators, is usually said to be normal ordered (also called Wick order)...
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