Reducible boundary conditions in coupled channels
Mathematical Physics
2014-11-18 v2 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0506009,
title = {Reducible boundary conditions in coupled channels},
author = {Konstantin Pankrashkin},
journal= {arXiv preprint arXiv:math-ph/0506009},
year = {2014}
}
Comments
14 pages, to appear in J. Phys. A: Math. Gen