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Entropic uncertainty relation for power-law wave packets

Sumiyoshi Abe·S. Martinez·F. Pennini·A. Plastino
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Abstract

For the power-law quantum wave packet in configuration space, the variance of the position observable may be divergent. Accordingly, the information-entropic formulation of the uncertainty principle becomes more appropriate than the Heisenberg-type formulation, since it involves only the finite quantities. It is found that the total amount of entropic uncertainty converges to its lower bound in the limit of a large value of the exponent.

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Sumiyoshi Abe, S. Martinez, F. Pennini, A. Plastino. 2002-06-06. Entropic uncertainty relation for power-law wave packets. https://doi.org/10.1016/s0375-9601(02)00150-0

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