The energy level shifts, wave functions and the probability current distributions for the bound scalar and spinor particles moving in ... View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-11

AUTHORS

V. N. Rodionov, G. A. Kravtsova

ABSTRACT

We discuss the equations for the bound one-active electron states based on the analytic solutions of the Schrödinger and Pauli equations for a uniform magnetic field and a single attractive δ(r)-potential. We show that the magnetic field indeed plays a stabilizing role in considered systems in a case of the weak intensity, but the opposite occurs in the case of strong intensity. These properties may be important for real quantum mechanical fermionic systems in two and three dimensions. In addition, we obtained that including the spin in the framework of the nonrelativistic approach allows correctly taking the effect of the magnetic field on the electric current into account. More... »

PAGES

895-910

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s1063779611060062

DOI

http://dx.doi.org/10.1134/s1063779611060062

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1040959915


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