Connection between the Green functions of the supersymmetric pair of Dirac Hamiltonians
Ekaterina Pozdeeva
TL;DR
This paper generalizes Sukumar's theorem, which links Green functions of supersymmetric Schrödinger Hamiltonians, to the case of supersymmetric Dirac Hamiltonians, expanding the theoretical framework of supersymmetric quantum mechanics.
Contribution
It introduces a generalized theorem connecting Green functions for supersymmetric Dirac Hamiltonians, extending previous Schrödinger-based results.
Findings
Established a formal connection between Green functions of supersymmetric Dirac Hamiltonians.
Extended the mathematical framework of supersymmetric quantum mechanics.
Provided a basis for further studies in relativistic quantum systems.
Abstract
The Sukumar theorem about the connection between the Green functions of the supersymmetric pair of the Schr\"odinger Hamiltonians is generalized to the case of the supersymmetric pair of the Dirac Hamiltonians.
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