Reducible boundary conditions in coupled channels

Details Reducible boundary conditions in coupled channels Reducible boundary conditions in coupled channels

2005-06-03

arxiv.org/abs/math-ph/0506009v2

After minor revision published in J. Phys. A: Math. Gen. 38 (2005) 8979-8992.

Physics

Mathematical Physics

14 pages, to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/38/41/010

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.

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