2024-03-28T18:21:31Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/336212021-06-24T07:21:50Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
Muñoz Castañeda, José María
Nieto Calzada, Luis Miguel
Romaniega Sancho, César
2018-12-21T11:58:46Z
2018-12-21T11:58:46Z
2019
Ann. Phys. 400 (2019) 246–261
http://uvadoc.uva.es/handle/10324/33621
246
261
400
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 this
extension 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.
eng
info:eu-repo/semantics/openAccess
Hyperspherical δ-δ’ potentials
info:eu-repo/semantics/article