TY - JOUR
T1 - The position-momentum uncertainty relations for a Pöschl-Teller type potential and its squeezed phenomena
AU - Chen, Chang Yuan
AU - You, Yuan
AU - Lu, Fa Lin
AU - Dong, Shi Hai
N1 - Funding Information:
This work is supported by the National Natural Science Foundation of China under Grant No. 11275165 and the Natural Science Foundation of Jiangsu Province of China under Grant No. BK2010291 and partially supported by 20120876-SIP-IPN, Mexico.
PY - 2013/6/17
Y1 - 2013/6/17
N2 - 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.
AB - 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.
KW - Localization
KW - Position-momentum uncertainty
KW - Pöschl-Teller type potential
KW - Squeezed state
UR - http://www.scopus.com/inward/record.url?scp=84875371551&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2013.02.043
DO - 10.1016/j.physleta.2013.02.043
M3 - Artículo
SN - 0375-9601
VL - 377
SP - 1070
EP - 1075
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 15
ER -