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Amplitude-phase methods for analyzing the radial Dirac equation: calculation of scattering phase shifts
KTH, Skolan för teknikvetenskap (SCI), Mekanik.ORCID-id: 0000-0003-0149-341X
2008 (engelsk)Inngår i: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 77, nr 6Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2008. Vol. 77, nr 6
Emneord [en]
dimensional schrodinger equation, rapid numerical solution, differential-equation, pseudospin symmetry, wave mechanics, thomas-fermi, potentials, momentum, states
Identifikatorer
URN: urn:nbn:se:kth:diva-17588DOI: 10.1088/0031-8949/77/06/065005ISI: 000256544500005Scopus ID: 2-s2.0-47549091000OAI: oai:DiVA.org:kth-17588DiVA, id: diva2:335632
Merknad
QC 20100525Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2022-06-25bibliografisk kontrollert

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