Operators' s -parameterized ordering and its classical correspondence in quantum optics theory

Abstract

In reference to the Weyl ordering x m p n → (1/2) m m l=0 m l X m−l P n X l , 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 correspondenceand its complementary relationwhere Hm,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 a †m a n in terms of the two-variable Hermite polynomial is also derived. Application of operators' s-ordering formula in studying displacedsqueezed chaotic field is discussed.

N-type thermoelectric Ag8SnSe6 with extremely low lattice thermal conductivity by replacing Ag with Cu

“…In the past two decades, many strategies have been developed, such as the band engineering near the Fermi level [5][6][7][8][9][10][11][12] and nanomicrostructure engineering. [13][14][15] The former aims at optimizing the electronic structure and the latter strengthening phonon scattering by introducing lattice distortion and nanostructures. Additionally, some materials with very low intrinsic thermal conductivity has been attracting much attention, due to either resonant bonding, 16,17 the loosely bonded atoms in atomic voids with rattling 18 or "liquid-like behavior".…”