We give a sufficient condition for the existence of an eigenvalue below the lower bound π2 of the continuous spectrum in a two-dimensional quantum waveguide composed from two semi-strips of width 1 and 1 - ε with the junction zone of width 1+O(ε). This eigenvalue in the discrete spectrum is unique and its asymptotics is constructed and justified when ε → 0+.
Asymptotic analysis of an eigenvalue in the discrete spectrum of a quantum waveguide
Cardone G
Membro del Collaboration Group
2013-01-01
Abstract
We give a sufficient condition for the existence of an eigenvalue below the lower bound π2 of the continuous spectrum in a two-dimensional quantum waveguide composed from two semi-strips of width 1 and 1 - ε with the junction zone of width 1+O(ε). This eigenvalue in the discrete spectrum is unique and its asymptotics is constructed and justified when ε → 0+.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
