dc.contributor.author Gadella, M. dc.contributor.author Mateos Guilarte, Juan dc.contributor.author Muñoz Castañeda, José María dc.contributor.author Nieto, L. M. dc.date.accessioned 2017-05-19T07:12:30Z dc.date.available 2017-05-19T07:12:30Z dc.date.issued 2015-09-25 dc.identifier.uri http://hdl.handle.net/10366/133149 dc.description.abstract [EN]In this contribution to the study of one dimensional point potentials, we prove that if we take the limit $q\to 0$ on a potential of the type $v_0\delta({y})+{2}v_1\delta'({y})+w_0\delta({y}-q)+ {2} w_1\delta'({y}-q)$, we obtain a new point potential of the type ${u_0} \delta({y})+{2 u_1} \delta'({y})$, when $u_0$ and $u_1$ are related to $v_0$, $v_1$, $w_0$ and $w_1$ by a law having the structure of a group. This is the Borel subgroup of $SL_2({\mathbb R})$. We also obtain the non-abelian addition law from the scattering data. The spectra of the Hamiltonian in the exceptional cases emerging in the study are also described in full detail. It is shown that for the $v_1=\pm 1$, $w_1=\pm 1$ values of the $\delta^\prime$ couplings the singular Kurasov matrices become equivalent to Dirichlet at one side of the point interaction and Robin boundary conditions at the other side. es_ES dc.format.extent 20 p. dc.format.mimetype application/pdf dc.language.iso eng es_ES dc.publisher IOPscience es_ES dc.rights Attribution-NonCommercial-NoDerivs 4.0 International dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ dc.subject Mathematical physics es_ES dc.subject Mathematical Physics es_ES dc.subject High Energy Physics es_ES dc.subject Theory es_ES dc.subject Quantum Physics es_ES dc.title Two-point one-dimensional δ-δ’ interactions: non-abelian addition law and decoupling limit es_ES dc.type info:eu-repo/semantics/article es_ES dc.relation.publishversion http://es.arxiv.org/abs/1505.04359 dc.identifier.doi https://dx.doi.org/10.1088/1751-8113/49/1/015204 dc.rights.accessRights info:eu-repo/semantics/openAccess es_ES
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