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Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods

dc.contributor.authorRen, Z. X.en_ZA
dc.contributor.authorZhang, S. Q.en_ZA
dc.contributor.authorMeng, J.en_ZA
dc.date.accessioned2018-11-07T09:31:15Z
dc.date.available2018-11-07T09:31:15Z
dc.date.issued2017
dc.identifier.citationRen, Z. X., Zhang, S. Q. & Meng, J. 2017. Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods. Physical Review C, 95(2):1-8, doi:10.1103/PhysRevC.95.024313
dc.identifier.issn2469-9993 (online)
dc.identifier.issn2469-9985 (print)
dc.identifier.otherdoi:10.1103/PhysRevC.95.024313
dc.identifier.urihttp://hdl.handle.net/10019.1/104655
dc.descriptionCITATION: Ren, Z. X., Zhang, S. Q. & Meng, J. 2017. Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods. Physical Review C, 95(2):1-8, doi:10.1103/PhysRevC.95.024313.
dc.descriptionThe original publication is available at https://journals.aps.org/prc
dc.description.abstractA new method to solve the Dirac equation on a 3D lattice is proposed, in which the variational collapse problem is avoided by the inverse Hamiltonian method and the fermion doubling problem is avoided by performing spatial derivatives in momentum space with the help of the discrete Fourier transform, i.e., the spectral method. This method is demonstrated in solving the Dirac equation for a given spherical potential in a 3D lattice space. In comparison with the results obtained by the shooting method, the differences in single-particle energy are smaller than 10ֿ⁻⁴ MeV, and the densities are almost identical, which demonstrates the high accuracy of the present method. The results obtained by applying this method without any modification to solve the Dirac equations for an axial-deformed, nonaxial-deformed, and octupole-deformed potential are provided and discusseden_ZA
dc.description.urihttps://journals.aps.org/prc/abstract/10.1103/PhysRevC.95.024313
dc.format.extent8 pages
dc.language.isoen_ZAen_ZA
dc.publisherAmerican Physical Society
dc.subjectCharge distributionsen_ZA
dc.titleSolving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methodsen_ZA
dc.typeArticleen_ZA
dc.description.versionPublisher's version
dc.rights.holderAmerican Physical Society


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