In this paper we define measures of semi noncompactness in a locally convex topological linear space with respect to a given seminorm. Then we get a fixed point theorem for a class of condensing set valued mappings...In this paper we define measures of semi noncompactness in a locally convex topological linear space with respect to a given seminorm. Then we get a fixed point theorem for a class of condensing set valued mappings and apply it to differential inclusions.展开更多
The low-lying spectra of7 Li and9Li are investigated within an ab initio Monte Carlo Shell Model（MCSM） employing a realistic potential obtained via the Unitary Correlation Operator Method（UCOM）. The MCSM calculati...The low-lying spectra of7 Li and9Li are investigated within an ab initio Monte Carlo Shell Model（MCSM） employing a realistic potential obtained via the Unitary Correlation Operator Method（UCOM）. The MCSM calculations in a 4-major-shells model space for the binding energy and mass quadrupole moment of7, 9Li show good convergence when the MCSM dimension reaches 20. The excitation energy of the Jπ= 1/2-state for7 Li and the magnetic moments for7, 9Li ground states in the MCSM with a treatment of spurious center-of-mass motion are close to the experimental data. Correct level ordering of Jπ=3/2-and 1/2-states for7, 9Li can be reproduced due to the inclusion of three-body correlations in the MCSM＋UCOM. However, the excitation energy of Jπ=1/2-state for9 Li is not reproduced in the MCSM mainly due to the lack of larger model space.展开更多
文摘In this paper we define measures of semi noncompactness in a locally convex topological linear space with respect to a given seminorm. Then we get a fixed point theorem for a class of condensing set valued mappings and apply it to differential inclusions.
基金Supported by Fundamental Research Funds for the Central Universities(JUSRP1035)National Natural Science Foundation of China(11305077)
文摘The low-lying spectra of7 Li and9Li are investigated within an ab initio Monte Carlo Shell Model（MCSM） employing a realistic potential obtained via the Unitary Correlation Operator Method（UCOM）. The MCSM calculations in a 4-major-shells model space for the binding energy and mass quadrupole moment of7, 9Li show good convergence when the MCSM dimension reaches 20. The excitation energy of the Jπ= 1/2-state for7 Li and the magnetic moments for7, 9Li ground states in the MCSM with a treatment of spurious center-of-mass motion are close to the experimental data. Correct level ordering of Jπ=3/2-and 1/2-states for7, 9Li can be reproduced due to the inclusion of three-body correlations in the MCSM＋UCOM. However, the excitation energy of Jπ=1/2-state for9 Li is not reproduced in the MCSM mainly due to the lack of larger model space.
