Imaginary Time Step Method to Solve the Dirac Equation with Nonlocal Potential

Journal Article · Wed Aug 26 00:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3232092· OSTI ID:21344596

Ying, Zhang ^[1]; Haozhao, Liang ^[1]; Jie, Meng ^[1]

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1. State Key Lab Nucl. Phys. and Tech., School of Physics, Peking University, Beijing 100871 (China)

The imaginary time step (ITS) method is applied to solve the Dirac equation with nonlocal potentials in coordinate space. Taking the nucleus {sup 12}C as an example, even with nonlocal potentials, the direct ITS evolution for the Dirac equation still meets the disaster of the Dirac sea. However, following the recipe in our former investigation, the disaster can be avoided by the ITS evolution for the corresponding Schroedinger-like equation without localization, which gives the convergent results exactly the same with those obtained iteratively by the shooting method with localized effective potentials.

• OSTI ID: 21344596
• Journal Information: AIP Conference Proceedings, Vol. 1165, Issue 1; Conference: International conference on nuclear structure and dynamics '09, Dubrovnik (Croatia), 4-8 May 2009; Other Information: DOI: 10.1063/1.3232092; (c) 2009 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CARBON 12
DIRAC EQUATION
NONLOCAL POTENTIAL
NUCLEAR POTENTIAL
NUCLEAR STRUCTURE
NUMERICAL ANALYSIS
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
CARBON ISOTOPES
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
EVEN-EVEN NUCLEI
FIELD EQUATIONS
ISOTOPES
LIGHT NUCLEI
MATHEMATICS
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
STABLE ISOTOPES
WAVE EQUATIONS