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arXiv · 2104.02732

Dirac-like Hamiltonians associated to Schr\"odinger factorizations

D. Demir Kızılırmak·Ş. Kuru·J. Negro
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Abstract

In this work, we have extended the factorization method of scalar shape-invariant Schr\"o\-din\-ger Hamiltonians to a class of Dirac-like matrix Hamiltonians. The intertwining operators of the Schr\"odinger 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 ${\cal S}^2$ and a second one, having a non-Hermitian character, from the hyperbolic space ${\cal H}^2$.

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D. Demir Kızılırmak, Ş. Kuru, J. Negro. 2021-04-06. Dirac-like Hamiltonians associated to Schr\"odinger factorizations. https://arxiv.org/abs/2104.02732

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