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As a natural extension of Fan's paper (arXiv: 0903.1769vl [quant-ph]) byemploying the formula of operators' Weyl ordering expansion and the bipartiteentangled state representation we find new two-fold complex integrationtransformation about the Wigner operator (in its entangled form) in phase spacequantum mechanics and its inverse transformation. In this way, some operatorordering problems can be solved and the contents of phase space quantummechanics can be enriched.

New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled case