Deformed Heisenberg algebra and minimal length

Details Deformed Heisenberg algebra and minimal length Deformed Heisenberg algebra and minimal length

2012-01-26

arxiv.org/abs/1201.5545v1

J. Phys. A: Math. Theor. 45 (2012) 075309

Physics

Quantum Physics

to be published in JPA

Scientific paper

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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