Spectral asymptotics of a strong $δ'$ interaction supported by a surface
We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive $δ'$ 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 Schrödinger type operator with an effective potential expressed in terms of the interaction support curvatures.
math-ph↗