- 14-9 Pavel Exner, Michal jex
- Spectral asymptotics of a strong $\delta'$ interaction supported by a surface
Feb 25, 14
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Abstract. We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive $\delta'$ interaction supported by a smooth surface in $\R^3$, either infinite and asymptotically planar, or compact and closed. Its second term is found to be determined by a Schr\"odinger type operator with an effective potential expressed in terms of the interaction support curvatures.