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- W3012770983 abstract "We extend the (1 + 1)-dimensional Dirac–Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac–Dunkl oscillator be parity invariant, one of the spinor component must be even, and the other spinor component must be odd, and vice versa. We decouple the differential equations for each of the spinor component and introduce an appropriate su(1, 1) algebraic realization for the cases when one of these functions is even and the other function is odd. The eigenfunctions and the energy spectrum are obtained by using the su(1, 1) irreducible representation theory. Finally, by setting the Dunkl parameter to vanish, we show that our results reduce to those of the standard Dirac-Moshinsky oscillator." @default.
- W3012770983 created "2020-03-27" @default.
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- W3012770983 date "2020-08-07" @default.
- W3012770983 modified "2023-10-02" @default.
- W3012770983 title "Algebraic approach for the one-dimensional Dirac–Dunkl oscillator" @default.
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- W3012770983 doi "https://doi.org/10.1142/s0217732320502557" @default.
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