Operators' s -parameterized ordering and its classical correspondence in quantum optics theory
Fan Hong-Yi, Yuan Hong-Chun, Liyun Hu · Chinese Physics B · 2010
In reference to the Weyl ordering , where X and P are coordinate and momentum operator, respectively, this paper examines operators' s -parameterized ordering and its classical correspondence, finds the fundamental function-operator correspondence and its complementary relation where H m,n is the two-variable Hermite polynomial, a , a † are bosonic annihilation and creation operators respectively, s ′ is a complex parameter. The s -ordered operator power-series expansion of s -ordered operator in terms of the two-variable Hermite polynomial is also derived. Application of operators' s -ordering formula in studying displaced-squeezed chaotic field is discussed.