. "P(IAA1048101), Z(AV0Z1048901)" . . "Uva\u017Eujeme Laplaci\u00E1n v rovn\u00E9m rovinn\u00E9m p\u00E1su s Dirichletovou okrajovou podm\u00EDnkou a Neumannovou podm\u00EDnkou na dvou oknech stejn\u00E9 d\u00E9lky, se st\u0159edy ve vzd\u00E1lenosti 2l. Studujeme asyptotick\u00E9 chov\u00E1n\u00ED diskr\u00E9tn\u00EDho spektra pro l --> nekone\u010Dna. Kolem ka\u017Ed\u00E9 izolovan\u00E9 vlastn\u00ED hodnoty p\u00E1su s jedn\u00EDm oknem existuj\u00ED 2 vlastn\u00ED hodnoty, jejich\u017E vzd\u00E1lenost exponenci\u00E1ln\u011B kles\u00E1 s l rostouc\u00EDm do nekone\u010Dna. Je uva\u017Eov\u00E1n i p\u0159\u00EDpad prahov\u00E9 resonance"@cs . "Schrodinger operator;local perturbations;plane"@en . . . . . "We consider the Laplacian in a straight planar strip with Dirichlet boundary which has two Neumann 'windows' of the same length, the centres of which are 21 apart, and study the asymptotic behaviour of the discrete spectrum as 1 --> infinity. It is shown that there are pairs of eigenvalues around each isolated eigenvalue of a single-window strip and their distances vanish exponentially in the limit 1 --> infinity. We derive an asymptotic expansion also in the case where a single window gives rise to a threshold resonance which the presence of the other window turns into a single isolated eigenvalue" . "37" . "563904" . . . "Exponenci\u00E1ln\u00ED roz\u0161t\u011Bpen\u00ED v\u00E1zan\u00FDch stav\u016F ve vlnovodu s dvojic\u00ED vzd\u00E1len\u00FDch oken"@cs . "Exponenci\u00E1ln\u00ED roz\u0161t\u011Bpen\u00ED v\u00E1zan\u00FDch stav\u016F ve vlnovodu s dvojic\u00ED vzd\u00E1len\u00FDch oken"@cs . "[30C698B0A981]" . "RIV/61389005:_____/04:00101856!RIV/2005/AV0/A49005/N" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . . "Exner, Pavel" . "Journal of Physics" . "3411;3428" . . . . "Expontial splitting of bound states in a waveguide with a pair of distant windows"@en . . "2"^^ . "We consider the Laplacian in a straight planar strip with Dirichlet boundary which has two Neumann 'windows' of the same length, the centres of which are 21 apart, and study the asymptotic behaviour of the discrete spectrum as 1 --> infinity. It is shown that there are pairs of eigenvalues around each isolated eigenvalue of a single-window strip and their distances vanish exponentially in the limit 1 --> infinity. We derive an asymptotic expansion also in the case where a single window gives rise to a threshold resonance which the presence of the other window turns into a single isolated eigenvalue"@en . "Borisov, D." . "Expontial splitting of bound states in a waveguide with a pair of distant windows"@en . "0305-4470" . . . . "18"^^ . "RIV/61389005:_____/04:00101856" . "10" . "1"^^ . "Expontial splitting of bound states in a waveguide with a pair of distant windows" . "Expontial splitting of bound states in a waveguide with a pair of distant windows" .