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Digitale Medien

Anomalous Pauli Electron States for Magnetic Fields with Tails (1999)

Exner, P. ; Hirokawa, M. ; Ogurisu, O.

Springer

Letters in mathematical physics 50 (1999), S. 103-114

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Details

ISSN: 1573-0530

Schlagwort(e): Pauli operator ; discrete spectrum ; anomalous magnetic moment

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1007679721268

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