Reducible Boundary Conditions in Coupled Channels

نویسنده

  • KONSTANTIN PANKRASHKIN
چکیده

We study Hamiltonians with point interactions in spaces of vectorvalued 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 δ-, δ-, and the Kirchhoff couplings.

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تاریخ انتشار 2005