科研之友
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摘要
We consider a class of two-dimensional Schrodinger operator with a singular interaction of the d type and a fixed strength ss supported by an infinite family of concentric, equidistantly spaced circles, and discuss what happens below the essential spectrum when the system is amended by an Aharonov-Bohm flux a. [0, 1 2] in the center. It is shown that if ss = 0, there is a critical value acrit. (0, 1 2) such that the discrete spectrum has an accumulation point when a < acrit, while for a = acrit the number of eigenvalues is at most finite, in particular, the discrete spectrum is empty for any fixed a. (0, 1 2) and | ss| small enough.
- 出版日期2018-9
