<正> By virtue of the technique of integration within an ordered product of operators and the fundamentaloperator identity Hn(X)=2n:Xn:,where X is the coordinate operator and Hn is the n-order Hermite polynomials,::is the normal ordering symbol,we not only simplify the derivation of the main properties of Hermite polynomials,but also directly derive some new operator identities regarding to Hn(X).Operation for transforming f(X)→:f(X):is also discussed.
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