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- W1986105006 abstract "There exist a relation between the Klein-Gordon and the Dirac equations with scalar and vector potentials of equal magnitude (SVPEM) and the Schrodinger equation. We obtain the relativistic energy spectrum for the four Smorodinsky-Winternitz systems from the quasi-Hamiltonian and the quadratic algebras obtained by Daskaloyannis in the non-relativistic context. We point out how results obtained in context of quantum superintegrable systems and their polynomial algebras may be applied to the quantum relativistic case. We also present the symmetry algebra of the Dirac equation for these four systems and show that the quadratic algebra obtained is equivalent to the one obtained from the quasi-Hamiltonian." @default.
- W1986105006 created "2016-06-24" @default.
- W1986105006 creator A5049413367 @default.
- W1986105006 date "2011-04-01" @default.
- W1986105006 modified "2023-09-27" @default.
- W1986105006 title "Quadratic algebra approach to relativistic quantum Smorodinsky–Winternitz systems" @default.
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- W1986105006 doi "https://doi.org/10.1063/1.3579983" @default.
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