Let T^2 be a flat two-dimensional torus with fundamental cell domain [-1/2,1/2]×[-1/2,1/2],h（x） a positive smooth function satisfying the symmetric property （8） on T^2.In this paper we give some sufficient co...Let T^2 be a flat two-dimensional torus with fundamental cell domain [-1/2,1/2]×[-1/2,1/2],h（x） a positive smooth function satisfying the symmetric property （8） on T^2.In this paper we give some sufficient condition under which the mean field equation △u = 16π - 16πe^u, has a smooth solution.展开更多
Electron-positron pair production in a strong laser field enhanced by an assisted high frequency weak field is investigated by solving the quantum Vlasov equation.The average and residual pair number densities are obt...Electron-positron pair production in a strong laser field enhanced by an assisted high frequency weak field is investigated by solving the quantum Vlasov equation.The average and residual pair number densities are obtained for sinusoid electric field and it is found that the high frequency assisted weak field will enhance pair production significantly.There exists an optimal frequency of assisted field that makes the pair production number density get a maximum one,which is a few orders of higher than that without assisted field.We also discuss the other possible assisted fields.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 10701064, 10931001)XINXING Project of Zhejiang University
文摘Let T^2 be a flat two-dimensional torus with fundamental cell domain [-1/2,1/2]×[-1/2,1/2],h（x） a positive smooth function satisfying the symmetric property （8） on T^2.In this paper we give some sufficient condition under which the mean field equation △u = 16π - 16πe^u, has a smooth solution.
基金Supported by the National Natural Science Foundation of China (NNSFC) under Grant Nos. 11175023,11165014partially by theFundamental Research Funds for the Central Universities (FRFCU)
文摘Electron-positron pair production in a strong laser field enhanced by an assisted high frequency weak field is investigated by solving the quantum Vlasov equation.The average and residual pair number densities are obtained for sinusoid electric field and it is found that the high frequency assisted weak field will enhance pair production significantly.There exists an optimal frequency of assisted field that makes the pair production number density get a maximum one,which is a few orders of higher than that without assisted field.We also discuss the other possible assisted fields.
