Dirac-like Hamiltonians associated to Schrödinger factorizations
Department of Medical Services and Techniques, Ankara Medipol University, 06050, Ankara, Turkey
2 Department of Physics, Faculty of Science, Ankara University, 06100, Ankara, Turkey
3 Departamento de Física Teórica, Atómica y Óptica, and IMUVA, Universidad de Valladolid, 47011, Valladolid, Spain
Accepted: 4 June 2021
Published online: 17 June 2021
In this work, we have extended the factorization method of scalar shape-invariant Schrödinger Hamiltonians to a class of Dirac-like matrix Hamiltonians. The intertwining operators of the Schrödinger equations have been implemented in the Dirac-like shape invariant equations. We have considered also another kind of anti-intertwining operators changing the sign of energy. The Dirac-like Hamiltonians can be obtained from reduction of higher dimensional spin systems. Two examples have been worked out, one obtained from the sphere and a second one, having a non-Hermitian character, from the hyperbolic space .
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021