Dirac-like Hamiltonians associated to Schrödinger factorizations
| Autor: | Javier Negro, D. Demir Kızılırmak, Sengul Kuru |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Hyperbolic space Dirac (software) Scalar (mathematics) General Physics and Astronomy 01 natural sciences 010305 fluids & plasmas Schrödinger equation symbols.namesake Matrix (mathematics) 0103 physical sciences symbols Invariant (mathematics) 010306 general physics Energy (signal processing) Mathematical physics Spin-½ |
| Zdroj: | The European Physical Journal Plus. 136 |
| ISSN: | 2190-5444 |
| DOI: | 10.1140/epjp/s13360-021-01642-2 |
| Popis: | 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 been worked out, one obtained from the sphere $${{\mathcal {S}}}^2$$ and a second one, having a non-Hermitian character, from the hyperbolic space $${{\mathcal {H}}}^2$$ . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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