Deformed Heisenberg algebra and minimal length
classification
🪐 quant-ph
math-phmath.MP
keywords
minimallengthalgebradeformationdeformedfunctionheisenberganswer
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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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