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
Abstract
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.
Citations and references
Cited by 20 references