Violation of Symmetry in the System of Three Laterally Coupled Quantum Waveguides,and Resonance Asymptotics

The system of three two-dimensional laterally coupled quantum waveguides with the Dirichlet boundary condition is considered. Violation of geometrical symmetry is studied. The behaviour of the resonance asymptotics and the transition “eigenvalue — resonance” are investigated. Bibliography: 16 titles.__________Published in Zapiski Nauchnykh Seminarov POMI, Vol. 300, 2003, pp. 221–227.