摘要
The explicit form of the common eigenstates|τ〉of the mass-weighted relative coordinateμ2Q1-μ1Q2 and the mass-combinatorid momentumμ1P1+μ2P2 of two particles is given.On the basis of|τ〉and their conjugate states|ξ〉,we find that there exist new differential completeness relations(DCR).The applications of the new DCR in deriving the normally ordered two-mode squeezing operators for the mass-related coordinates and momenta are demonstrated.Throughout the discussion the technique of differentiation within an ordered product of operators is fully employed.
作者
FAN Hong-yi
LIU Nai-le
范洪义;刘乃乐(Department of Applied Physics,Shanghai Jiao Tong University,Shanghai 200030;Department of Material Science and Engineering,University of Science and Technology of China,Hefei 230026)
基金
the National Natural Science Foundation of China under Grant No.19875046。
