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International Journal of Mass Spectrometry

Exact wave functions and uncertainties for a spinless charged particle in a time-dependent Penning trap

V. Aguiar, J. P. G. Nascimento, I. Guedes

Published Sep 17, 2016• 6 citations
Publisher
DOI
10.1016/j.ijms.2016.09.007

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We calculate the Fisher information (Fr and Fp) and the Shannon entropies (Sr and Sp) of a spinless charged particle in three different configurations of time-varying magnetic field, B(t). To do so, we first obtain the exact wave functions for a general time-dependent system by using a dynamical invariant method. By considering the solutions for n = m = 0, we were able to obtain the expressions of Fr, Fp, Sr, and Sp in terms of a c-number quantity, ρ, which has to be a real solution of the Milne–Pinney equation. We observe that the inequality FrFp ≤ 16 holds for the systems considered. We also observed squeezing phenomenon in momentum or/and coordinate spaces with increasing time.