Počet záznamů: 1

Approximation of a general singular vertex coupling in quantum graphs

  1. 1.
    0341394 - UJF-V 2010 RIV US eng J - Článek v odborném periodiku
    Cheon, T. - Exner, Pavel - Turek, O.
    Approximation of a general singular vertex coupling in quantum graphs.
    Annals of Physics. Roč. 325, č. 3 (2010), s. 548-578 ISSN 0003-4916
    Grant CEP: GA MŠk LC06002
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: Quantum graphs * Boundary conditions * Singular vertex coupling
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 2.919, rok: 2010

    The longstanding open problem of approximating all singular vertex couplings in a quantum graph is solved. We present a construction in which the edges are decoupled; an each pair of their endpoints is joined by an edge carrying a delta potential and a vector potential coupled to the "loose" edges by a delta Coupling. It is shown that if the lengths of the connecting edges shrink to zero and the potentials are properly scaled, the limit can yield any prescribed Singular vertex coupling, and moreover, that Such an approximation converges in the norm-resolvent sense.
    Trvalý link: http://hdl.handle.net/11104/0184398