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Unifying the theory of Integration within normal-, Weyl- and antinormal-ordering of operators and the s--ordered operator expansion formula of density operators

arXiv:0909.3580 · doi:10.1088/1674-1056/19/5/050303

Abstract

By introducing the s-parameterized generalized Wigner operator into phase-space quantum mechanics we invent the technique of integration within s-ordered product of operators (which considers normal ordered, antinormally ordered and Weyl ordered product of operators as its special cases). The s-ordered operator expansion formula of density operators is derived, and the s-parameterized quantization scheme is thus completely established.

7 pages