Geodesic
Scattering on a small-opening resonator
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 159-169
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By methods of extension theory some explicitly solvable model of small-opening resonator is constructed. The eigenvalues of dissipative operator, corresponding to the associated scattering problem are evaluated in high-energy limit. 
@article{ZNSL_1983_126_a17,
     author = {B. S. Pavlov and M. D. Faddeev},
     title = {Scattering on a small-opening resonator},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {159--169},
     year = {1983},
     volume = {126},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a17/}
}
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B. S. Pavlov; M. D. Faddeev. Scattering on a small-opening resonator. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 159-169. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a17/