Related papers: Dirac-like Hamiltonians associated to Schr\"odinger factorizations

Dirac-like Hamiltonians associated to Schr\"odinger factorizations

URL: http://arxiv.org/abs/2104.02732v1
Date: Tue, 6 Apr 2021 18:01:49 GMT
Title: Dirac-like Hamiltonians associated to Schr\"odinger factorizations
Authors: D. Demir K{\i}z{\i}l{\i}rmak, \c{S}. Kuru and J. Negro
Abstract summary: We have extended the factorization method of scalar shape-invariant Schr"o-din-ger Hamiltonians to a class of Dirac-like matrix Hamiltonians. The Dirac-like Hamiltonians can be obtained from reduction of higher dimensional spin systems.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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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