RT info:eu-repo/semantics/article
T1 Analysis of a one-dimensional Hamiltonian with a singular double well consisting of two nonlocal interactions
A1 Fassari, Silvestro
A1 Gadella Urquiza, Manuel
A1 Nieto Calzada, Luis Miguel
A1 Rinaldi, Fabio
AB The objective of the present paper is the study of a one-dimensional Hamiltonian with the interaction term given by thesum of two nonlocal attractive δ′-interactions of equal strength and symmetrically located with respect to the origin. We use theprocedure known as renormalisation of the coupling constant in order to rigorously achieve a self-adjoint determination for thisHamiltonian. This model depends on two parameters, the interaction strength and the distance between the centre of each interactionand the origin. Once we have the self-adjoint determination, we obtain its discrete spectrum showing that it consists of two negativeeigenvalues representing the energy levels. We analyse the dependence of these energy levels on the above-mentioned parameters.We investigate the possible resonances of the model. Furthermore, we analyse in detail the limit of our model as the distance betweenthe supports of the two δ′ interactions vanishes
PB Springer
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/75134
UL https://uvadoc.uva.es/handle/10324/75134
LA eng
NO The European Physical Journal Plus, 2024, vol. 139, n. 2
NO Producción Científica
DS UVaDOC
RD 01-mar-2025