Reducible boundary conditions in coupled channels
Pankrashkin, Konstantin
arXiv, 0506009 / Harvested from arXiv
Text on arXiv
We study Hamiltonians with point interactions in spaces of vector-valued functions. Using some information from the theory of quantum graphs we describe a class of the operators which can be reduced to the direct sum of several one-dimensional problems. It shown that such reduction is closely connected with the invariance under channel permutations. Examples are provided by some "model" interactions, in particular, the so-called delta, delta-prime, and the Kirchhoff couplings.
Publié le : 2005-06-03
Classification:  Mathematical Physics,  Primary 34L30,  Secondary 47B25, 15A90 
@article{0506009,
     author = {Pankrashkin, Konstantin},
     title = {Reducible boundary conditions in coupled channels},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506009}
}

Pankrashkin, Konstantin. Reducible boundary conditions in coupled channels. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506009/