Počet záznamů: 1
Non-Weyl asymptotics for quantum graphs with general coupling conditions
- 1.0350854 - ÚJF 2011 RIV GB eng J - Článek v odborném periodiku
Davies, E.B. - Exner, Pavel - Lipovský, Jiří
Non-Weyl asymptotics for quantum graphs with general coupling conditions.
Journal of Physics A-Mathematical and Theoretical. Roč. 43, č. 47 (2010), 474013/1-474013/16. ISSN 1751-8113. E-ISSN 1751-8121
Grant CEP: GA MŠMT LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: KIRCHHOFFS RULE * WIRES
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.641, rok: 2010
Inspired by a recent result of Davies and Pushnitski, we study resonance asymptotics of quantum graphs with general coupling conditions at the vertices. We derive a criterion for the asymptotics to be of a non-Weyl character. We show that for balanced vertices with permutation-invariant couplings the asymptotics is non-Weyl only in the case of Kirchhoff or anti-Kirchhoff conditions. While for graphs without permutation symmetry numerous examples of non-Weyl behaviour can be constructed. Furthermore, we present an insight into what makes the Kirchhoff/anti-Kirchhoff coupling particular from the resonance point of view. Finally, we demonstrate a generalization to quantum graphs with unequal edge weights.
Trvalý link: http://hdl.handle.net/11104/0190743
Počet záznamů: 1