科研之友
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摘要
We consider a two-dimensional quantum waveguide composed of two semi-strips of width 1 and 1 - epsilon, where epsilon %26gt; 0 is a small real parameter, i.e. the waveguide is gently converging. The width of the junction zone for the semi-strips is 1 + O(root epsilon). We will present a sufficient condition for the existence of a weakly coupled bound state below pi(2), the lower bound of the continuous spectrum. This eigenvalue in the discrete spectrum is unique and its asymptotics is constructed and justified when epsilon -%26gt; 0(+).
- 出版日期2013-1
