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Optimization of the imaginary time step evolution for the Dirac equation
Authors:LI FangQiong  ZHANG Ying  LIANG HaoZhao   & MENG Jie     Guizhou University for Nationalities  Guiyang   China  State Key Lab Nuclear Physics & Technology  School of Physics  Peking University  Beijing   Institut de Physique Nucle'aire  INP-CNRS    Universite' Paris-Sud  F- Orsay Cedex  France  School of Physics    Nuclear Energy Engineering  Beihang University  Beijing
Affiliation:LI FangQiong1,ZHANG Ying2,LIANG HaoZhao2,3 & MENG Jie4,2,5 1Guizhou University for Nationalities,Guiyang 550025,China,2State Key Lab Nuclear Physics & Technology,School of Physics,Peking University,Beijing 100871,3Institut de Physique Nucle'aire,IN2P3-CNRS and Universite' Paris-Sud,F-91406 Orsay Cedex,France,4School of Physics and Nuclear Energy Engineering,Beihang University,Beijing 100191,5Department of Physics,University of Stellenbosch,Stellenbosch,South Africa
Abstract:Taking the single neutron levels of 12C in the Fermi sea as examples,the optimization of the imaginary time step(ITS) evolution with the box size and mesh size for the Dirac equation is investigated.For the weakly bound states,in order to reproduce the exact single-particle energies and wave functions,a relatively large box size is required.As long as the exact results can be reproduced,the ITS evolution with a smaller box size converges faster,while for both the weakly and deeply bound states,the ITS evolu...
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