Dirac-like Hamiltonians associated to Schrodinger factorizations


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Kizilirmak D. D., KURU Ş., Negro J.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.136, no.6, 2021 (SCI-Expanded) identifier identifier

Abstract

In this work, we have extended the factorization method of scalar shape-invariant Schrodinger Hamiltonians to a class of Dirac-like matrix Hamiltonians. The intertwining operators of the Schrodinger 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 beenworked out, one obtained from the sphere S-2 and a second one, having a non-Hermitian character, from the hyperbolic space H-2.