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• W3100910755 abstract "Inspired by the recent work of Filho et al. (2016) a Hermitian momentum operator is introduced in a general curved space with diagonal metric. The modified Hamiltonian associated with this new momentum is calculated and discussed. Furthermore, granting the validity of the Heisenberg equation in a curved space, the Ehrenfest theorem is generalized and interpreted with the new position-dependent differential operator in a curved space. The modified Hamiltonian leads to a modified time-independent Schrödinger equation, which is solved explicitly for a free particle in the Poincaré upper half-plane geometry. It is shown that a “free particle” does not behave as it is totally free due to the curved background geometry." @default.
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• W3100910755 date "2020-08-01" @default.
• W3100910755 modified "2023-09-25" @default.
• W3100910755 title "Behavior of a free quantum particle in the Poincaré upper half-plane geometry" @default.
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• W3100910755 doi "https://doi.org/10.1016/j.aop.2020.168234" @default.
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