Statistical Complexity by K.D. Sen

Author:K.D. Sen
Language: eng
Format: epub
Publisher: Springer Netherlands, Dordrecht

(5.131)

which illustrates the uncertainty character of the Fisher-information product I[ρ]×I[γ]. Moreover, from (5.130) and (5.131), we finally have the Fisher-information-based uncertainty relation [115]

(5.132)

which extends and improves a similar relation previously obtained in three [116] and D [110] dimensions. Here again the equality is reached for the ground-state oscillator wavefunctions. It is also worth noting that for S states (i.e. when l=0), this inequality simplifies as

(5.133)

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