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Amplitude-phase methods for analyzing the radial Dirac equation: calculation of scattering phase shifts
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2008 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 77, no 6Article in journal (Refereed) Published
Abstract [en]

Approaches inspired by a recent amplitude-phase method for analyzing the radial Dirac equation are presented to calculate phase shifts. Regarding the spin- and pseudo-spin symmetries of relativistic spectra, the coupled first-order and the decoupled second-order differential forms of the radial Dirac equation are investigated by using a novel and the 'classical' amplitude-phase methods, respectively. The quasi non-relativistic limit c --> +infinity of the amplitude- phase formulae is discussed for both positive and negative energies. In the positive (E > mc(2)) low-energy region, the relativistic effects of scattering phase shifts are discussed based on two scattering potential models. Results are compared with those of non-relativistic calculations. In particular, the numerical results obtained from a rational approximation of the Thomas-Fermi potential are discussed in some detail.

Place, publisher, year, edition, pages
2008. Vol. 77, no 6
Keyword [en]
dimensional schrodinger equation, rapid numerical solution, differential-equation, pseudospin symmetry, wave mechanics, thomas-fermi, potentials, momentum, states
URN: urn:nbn:se:kth:diva-17588DOI: 10.1088/0031-8949/77/06/065005ISI: 000256544500005ScopusID: 2-s2.0-47549091000OAI: diva2:335632
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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