ISSN:
1573-0530
Keywords:
Pauli operator
;
discrete spectrum
;
anomalous magnetic moment
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We consider a two-dimensional electron with an anomalous magnetic moment, g〉2, interacting with a nonzero magnetic field B perpendicular to the plane which gives rise to a flux F. Recent results about the discrete spectrum of the Pauli operator are extended to fields with the $$ \mathcal{O}\left( {r^{ - 2 - \delta } } \right) $$ decay at infinity: we show that if $$ \left| F \right| $$ exceeds an integer N, there is at least $$ N + 1 $$ bound states. Furthermore, we prove that weakly coupled bound states exist under mild regularity assumptions also in the zero flux case.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007679721268
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