Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-05-15
Int.J.Mod.Phys.E19:55-62,2010
Physics
Nuclear Physics
Nuclear Theory
9 pages, 4 figures
Scientific paper
10.1142/S0218301310014637
The discrete single-particle spectra in both the Fermi and Dirac sea have been calculated by the imaginary time step (ITS) method for the Schr\"{o}dinger-like equation after avoiding the "tsunami" of the Dirac sea, i.e., the diving behavior of the single-particle level into the Dirac sea in the direct application of the ITS method for the Dirac equation. It is found that by the transform from the Dirac equation to the Schr\"{o}dinger-like equation, the single-particle spectra, which extend from the positive to the negative infinity, can be separately obtained by the ITS evolution in either the Fermi sea or the Dirac sea. Identical results with those in the conventional shooting method have been obtained via the ITS evolution for the equivalent Schr\"{o}dinger-like equation, which demonstrates the feasibility, practicality and reliability of the present algorithm and dispels the doubts on the ITS method in the relativistic system.
Liang Haozhao
Meng Jie
Zhang Yajing
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