The position-momentum uncertainty relations for a Pöschl-Teller type potential and its squeezed phenomena

Chang Yuan Chen, Yuan You, Fa Lin Lu, Shi Hai Dong

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Abstract

We present the position-momentum uncertainties for the Pöschl-Teller potential. We observe that the Δx decreases with the potential depth λ but increases with quantum number n. Interestingly, we find that the Δp first increases and then decreases with the n. The ΔxΔp first decreases and then increases with the λ, but almost becomes a constant (n+1/2) h for a larger λ. Particularly, there exists a squeezed phenomenon in position x for the lower states. The squeezing in x compensated for by an increase in momentum p, such that ΔxΔp≥ h/2 is still satisfied. © 2013 Elsevier B.V. All rights reserved.
Original languageAmerican English
Pages (from-to)1070-1075
Number of pages962
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
DOIs
StatePublished - 17 Jun 2013

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