Journal of Physical Studies 15(1), Article 1006 [4 pages] (2011) DOI: https://doi.org/10.30970/jps.15.1006 HAMILTONIAN WITH DELTA TYPE INTERACTION: PERTURBATION BY DYNAMICS Sylwia Kondej Institute of Physics, University of Zielona Góra, ul. Szafrana 4a, 65246 Zielona Góra, Poland, e-mail: skondej@proton.if.uz.zgora.pl

We study the Hamiltonian in two dimensional system with an interaction supported by a set of codimension one. The perturbation in our model is given by the appropriated operator. We derive the formula for the eigenvalues and the corresponding eigenfunctions. Moreover we analyze the functions counting the number of discrete and embedded points of the spectrum depending on coupling constants involved in the model. Finally, we study generalized eigenfunctions.

PACS number(s): 03.65.Ge, 11.55.-m, 02.70.Hm

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