RT info:eu-repo/semantics/article T1 Hyperspherical δ-δ’ potentials A1 Muñoz Castañeda, José María A1 Nieto Calzada, Luis Miguel A1 Romaniega Sancho, César AB The spherically symmetric potential a δ(r − r0) + b δ′(r − r0) is generalised for the d-dimensional space as a characterisation of a unique selfadjoint extension of the free Hamiltonian. For thisextension of the Dirac delta, the spectrum of negative, zero and positive energy states is studied in d ≥ 2, providing numerical results for the expectation value of the radius as a function of the free parameters of the potential. Remarkably, only if d = 2 the δ-δ′ potential for arbitrary a > 0 admits a bound state with zero angular momentum. YR 2019 FD 2019 LK http://uvadoc.uva.es/handle/10324/33621 UL http://uvadoc.uva.es/handle/10324/33621 LA eng NO Ann. Phys. 400 (2019) 246–261 NO Producción Científica DS UVaDOC RD 19-nov-2024