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- W4366090615 abstract "Recently, the $mu$-deformation-based approach to modeling dark matter, which exploits $mu$-deformed thermodynamics, was extended to the study of galaxy halo density profile and of the rotation curves of a number of (dwarf or low brightness) galaxies. For that goal, $mu$-deformed analogs of the Lane--Emden equation (LEE) have been proposed, and their solutions describing density profiles obtained. There are two seemingly different versions of $mu$-deformed LEE which possess the same solution, and so we deal with their equivalence. From the latter property we derive new, rather unusual, $mu$-deformed Heisenberg algebra (HA) for the position and momentum operators, and present the $mu$-HA in few possible forms (each one at $muto0$ recovers usual HA). The generalized uncertainty relation linked with the new $mu$-HA is studied, along with its interesting implications including the appearance of the quadruple of both maximal and minimal lengths and momenta." @default.
- W4366090615 created "2023-04-19" @default.
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- W4366090615 date "2023-04-17" @default.
- W4366090615 modified "2023-09-27" @default.
- W4366090615 title "New deformed Heisenberg algebra from the μ-deformed model of dark matter" @default.
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- W4366090615 doi "https://doi.org/10.3389/fspas.2023.1133976" @default.
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