By virtue of the completeness of Wigner operator and Weyl correspondence we construct a general equation for deriving pure state density operators. Several important examples are considered as the applications of this...By virtue of the completeness of Wigner operator and Weyl correspondence we construct a general equation for deriving pure state density operators. Several important examples are considered as the applications of this equation, which shows that our approach is effective and convenient for deducing these entangled state representations.展开更多
The q-deformed entangled states are introduced by using deformation quantization methods and new normal ordering of the vacuum projection operator for q-deformed boson oscillator.In similar way,by virtue of the techni...The q-deformed entangled states are introduced by using deformation quantization methods and new normal ordering of the vacuum projection operator for q-deformed boson oscillator.In similar way,by virtue of the technique of integration within an ordered product (IWOP) of operators,the new completeness and orthogonality relations composed of the bra and ket,which are not mutually Hermitian conjugates are obtained.Furthermore,the property of squeezing operator represented by the q-deformed entangled states is exhibited.Lastly,the nonclassical properties of the q-deformed two-mode squeezed vacuum state are studied.展开更多
The puma model on the basis of the Lorentz and CPT violation may bring an economical interpretation to the conventional neutrinos oscillation and part of the anomalous oscillations.We study the effect of the perturbat...The puma model on the basis of the Lorentz and CPT violation may bring an economical interpretation to the conventional neutrinos oscillation and part of the anomalous oscillations.We study the effect of the perturbation to the puma model.In the case of the first-order perturbation which keeps the (23) interchange symmetry,the mixing matrix element Ue3 is always zero.The nonzero mixing matrix element Ue3 is obtained in the second-order perturbation that breaks the (23) interchange symmetry.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 10874174 and 90203002)
文摘By virtue of the completeness of Wigner operator and Weyl correspondence we construct a general equation for deriving pure state density operators. Several important examples are considered as the applications of this equation, which shows that our approach is effective and convenient for deducing these entangled state representations.
文摘The q-deformed entangled states are introduced by using deformation quantization methods and new normal ordering of the vacuum projection operator for q-deformed boson oscillator.In similar way,by virtue of the technique of integration within an ordered product (IWOP) of operators,the new completeness and orthogonality relations composed of the bra and ket,which are not mutually Hermitian conjugates are obtained.Furthermore,the property of squeezing operator represented by the q-deformed entangled states is exhibited.Lastly,the nonclassical properties of the q-deformed two-mode squeezed vacuum state are studied.
文摘The puma model on the basis of the Lorentz and CPT violation may bring an economical interpretation to the conventional neutrinos oscillation and part of the anomalous oscillations.We study the effect of the perturbation to the puma model.In the case of the first-order perturbation which keeps the (23) interchange symmetry,the mixing matrix element Ue3 is always zero.The nonzero mixing matrix element Ue3 is obtained in the second-order perturbation that breaks the (23) interchange symmetry.
