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math-ph2015★ 9 cited
Pseudo orbit expansion for the resonance condition on quantum graphs and the resonance asymptotics
Jiri Lipovsky
In this note we explain the method how to find the resonance condition on quantum graphs, which is called pseudo orbit expansion. In three examples with standard coupling we show i…
math-ph2015★ 12 cited
On the Effective Size of a Non-Weyl Graph
Jiri Lipovsky
We show how to find the coefficient by the leading term of the resonance asymptotics using the method of pseudo orbit expansion for quantum graphs which do not obey the Weyl asympt…