Self-consistent structure of theSpair and theDpair in nuclei

Fractional Parentage Coefficients for Composite Pairs

“…( 2), and then one gets (q,a,J\\Di(b)\\q-l 1 auJi) = (d q -1 a 1 ,J 1 ;d^d"a,J). effective Hamiltonian is chosen to include the single particle term, monopole pairing force and quadrupole pairing force, quadrupole-quadrupole force (for more detail see Refs [4], [6], [8]). The practical calculation shows that although the values of the norm matrix elements between the states of Eq.…”

Three-qubit quantum-gate operation with an SQUID in a cavity

“…∆ i (i = 1, 2, 3) are the respective one-photon detunings. The Hamiltonian describing this system in the interaction picture can be written as ( = 1) [5] H = g 1 a e i∆1t |e 1 ⟩⟨g| + g 2 b e i∆2t |e 1 ⟩⟨l| If we assume the initial photon occupation numbers of the three cavity modes to be n 1 , n 2 , n 3 , respectively, then the state vector can be expanded in terms of the possible basis states as follows:…”

Correlated Nucleon Pair Model and Microscopic Basis of Interacting Boson

“…4 ' The S and D pairs so constructed have the shortcomings as mentioned in the introduction. For this reason we introduce the operatorized Bogoliubov transformation (OBT)' [5][6][7] ' to separate the S degree of freedom from the nucleons that carry seniority and modify the definition of the usual S pair in each j shell so that the separation could be exactly realized.' 5 ' 6 '…”