4 papers · 1 filter
New identities about operator Hermite polynomials and their related integration formulas
Hong-Yi Fan, Hong-Chun Yuan
By virtue of the technique of integration within an ordered product (IWOP) of operators and the bipartite entangled state representation we derive some new identities about operato…
Entangled state representation for deriving new operator identities regarding to two-variable Hermite polynomial
Hong-yi Fan, Hong-chun Yuan
In this paper, by virtue of the entangled state representation we concisely derive some new operator identities regarding to two-variable Hermite polynomial (TVHP). By them and the…
A new quantum mechanical photon counting distribution formula
Hong-yi Fan, Hong-chun Yuan, Li-yun Hu
By virtue of density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application,…
New approach for deriving operator identities by alternately using normally, antinormally, and Weyl ordered integration
Hong-yi Fan, Hong-chun Yuan
Dirac's ket-bra formalism is the "language" of quantum mechanics and quantum field theory. In Refs.(Fan et al, Ann. Phys. 321 (2006) 480; 323 (2008) 500) we have reviewed how to ap…