Relativistic SUSY QM as Deformed SUSY QM
M.Arik, T.Rador (Bosphorous University), R.M.Mir-Kasimov (JINR, Dubna)

TL;DR
This paper develops a relativistic finite-difference SUSY Quantum Mechanics framework and demonstrates its natural connection with q-deformed SUSY Quantum Mechanics, providing illustrative examples.
Contribution
It introduces a relativistic finite-difference SUSY QM and links it to q-deformed SUSY QM, expanding the theoretical understanding of supersymmetric quantum systems.
Findings
Relativistic finite-difference SUSY QM formulated
Connection established with q-deformed SUSY QM
Examples illustrating the theoretical framework
Abstract
The relativistic finite-difference SUSY Quantum Mechanics (QM) is developed. We show that it is connected in a natural way with the q-deformed SUSY Quantum Mechanics. Simple examples are given.
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Taxonomy
TopicsQuantum Mechanics and Applications · Nonlinear Waves and Solitons · Quantum Information and Cryptography
