磁场中点势近似
Approximation by point potentials in a magnetic field
摘要：
本文讨论了广义Kato类测度扰动下的磁薛定谔算子。利用一个显式的Krein公式为他们的预解式，我们证明了这些运营商可以近似的强预解式意义下的磁薛定谔算子与点势。由于后者运营商的频谱问题是可解的，事实上得到一个替代的方法来计算离散频谱，我们说明了它的情况下，当潜在的支持一个圆圈的数值计算。
英文摘要：
We discuss magnetic Schrodinger 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 Schrodinger 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.
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