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- W4295123458 abstract "In this study, we discuss a particle which is the constraint on a four-dimensional Euclidean space [Formula: see text]. In this respect and under the framework of Dirac’s approach, we analyze the classical and quantum dynamics of a particle constrained on an embedded surface in supersphere [Formula: see text], which has constant curvature and signature equal to [Formula: see text] and [Formula: see text], respectively. In fact, it is presented that the Cartesian components of momentum and position exhibit a proper description for the motion of the particle embedded in a generalized curved space. Thus, quantization of dynamics for a particle on the hypersurface [Formula: see text] derives an appropriate representation of momentum called geometric momentum as it depends on the mean curvature. The invariance algebra generated by the quantization process is an extension of [Formula: see text] with curvature parameters in both classical and quantum dynamics. Moreover, superintegrability appears in the deformed Hamiltonian [Formula: see text] arising from the Dirac brackets, in which [Formula: see text] of the underlying space behaves as the curvature (deformation) parameter." @default.
- W4295123458 created "2022-09-11" @default.
- W4295123458 creator A5034513784 @default.
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- W4295123458 date "2022-07-20" @default.
- W4295123458 modified "2023-10-16" @default.
- W4295123458 title "Classical and quantum dynamics of a constrained particle on three-dimensional spaces of constant curvature: An algebraic approach on the superintegrable problem" @default.
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- W4295123458 doi "https://doi.org/10.1142/s0217732322501401" @default.
- W4295123458 hasPublicationYear "2022" @default.
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