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• W3104261720 abstract "The Dirac equation has been studied in which the Dirac matrices $hat{boldmath$alpha$}, hatbeta$ have space factors, respectively $f$ and $f_1$, dependent on the particle's space coordinates. The $f$ function deforms Heisenberg algebra for the coordinates and momenta operators, the function $f_1$ being treated as a dependence of the particle mass on its position. The properties of these functions in the transition to the Schrodinger equation are discussed. The exact solution of the Dirac equation for the particle motion in the Coulomnb field with a linear dependence of the $f$ function on the distance $r$ to the force centre and the inverse dependence on $r$ for the $f_1$ function has been found." @default.
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• W3104261720 date "2005-08-10" @default.
• W3104261720 modified "2023-10-18" @default.
• W3104261720 title "On Dirac theory in the space with deformed Heisenberg algebra: exact solutions" @default.
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• W3104261720 doi "https://doi.org/10.1088/0305-4470/38/34/010" @default.
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