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Schrödinger-like equation for relativistic particles (1987)

Goldberg, I. B. ; Pratt, R. H.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 28 (1987), S. 1351-1359

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The Dirac equation in a spherically symmetric screened Coulomb potential is transformed to a modified Schrödinger equation of the form d2u/dr2+k2(r)u=0. This transformation is induced by expressing the Dirac function as a linear combination of the function u and its derivative du/dr. Various properties of the transformation and of the resulting equations are studied. The close similarity between the modified Schrödinger equation and the Schrödinger equation suggests that methods applied to the Schrödinger equation to derive nonrelativistic relations can be applied to the modified Schrödinger equation to derive the analogous relativistic relations. As an example, this approach is applied to the single channel quantum defect theory to give a new derivation of its relativistic form.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527537

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Remanent fields and critical currents in Tl2 Ba2Ca2Cu3Ox ceramic (1989)

DeWames, R. E. ; Morgan, P. E. D. ; Ratto, J. J. ; [et al.]

Springer

Applied physics 49 (1989), S. 325-329

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ISSN: 1432-0630

Keywords: 74.60 ; 74.70

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics

Notes: Abstract The temperature and magnetic-field dependences of the remanent magnetization have been determined from far-field measurements for thallium ceramic samples. The current flow that gives rise to the observed magnetization is intragranular. The results are consistent with flux-creep-controlled transport with a distance between pinning centers of ∼- 1/2/μm. Using near-field measurements, the superconducting properties are found to be heterogeneous on a scale of ≫ 1 mm. Magnetic domains have been induced by pplying spatial variation in the applied field.