# Dirac-like Hamiltonians associated to Schrödinger factorizations

@inproceedings{Kzlrmak2021DiraclikeHA, title={Dirac-like Hamiltonians associated to Schr{\"o}dinger factorizations}, author={Deniz Kızılırmak and Şeng{\"u}l Kuru and J. Negro}, year={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…

## One Citation

Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion

- Mathematics, PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

We investigate a quantum non-relativistic system describing the interaction of two particles with spin 12 and spin 0, respectively. Assuming that the Hamiltonian is rotationally invariant and parity…

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