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Approximation by point potentials in a magnetic field

Katerina Ozanová (Institutionen för matematiska vetenskaper, matematik)
Journal of Physics A: Mathematical and General (03054470 ). Vol. 39 (2006), 12, p. 3071-3083.
[Artikel, refereegranskad vetenskaplig]

We discuss magnetic Schrödinger operators perturbed by measures from the generalized Kato class. Using an explicit Krein-like formula for their resolvent, we prove that these operators can be approximated in the strong resolvent sense by magnetic Schrödinger operators with point potentials. Since the spectral problem of the latter operators is solvable, one in fact gets an alternative way to calculate discrete spectra; we illustrate it by numerical calculations in the case when the potential is supported by a circle.



Denna post skapades 2009-12-04.
CPL Pubid: 102840

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur