Deformed Heisenberg algebra and minimal length
T. Mas LowskiInstitute of Physics, University of Zielona Góra Prof. Z. Szafrana 4a, 65-516 Zielona Góra, PolandAnatol NowickiInstitute of Physics, University of Zielona Góra Prof. Z. Szafrana 4a, 65-516 Zielona Góra, PolandV. M. TkachukDepartment of Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov St., Lviv, UA-79005, Ukraine
2013en
ABI
Annotatsiya
A one-dimensional deformed Heisenberg algebra [X, P ] = if (P ) is studied.We answer the question: For what function of deformation f (P ) there exists a nonzero minimal uncertainty in position (minimal length).We also find an explicit expression for the minimal length in the case of arbitrary function of deformation.
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