Spectral asymptotics of a strong $δ'$ interaction supported by a surface

Pavel Exner, Michal jex

Published 2014-02-25Version 1

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.