TY - JOUR
T1 - Fisher information for the position-dependent mass Schrödinger system
AU - Falaye, B. J.
AU - Serrano, F. A.
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2016/1/8
Y1 - 2016/1/8
N2 - This study presents the Fisher information for the position-dependent mass Schrödinger equation with hyperbolic potential V(x)=-V0csch2(ax). The analysis of the quantum-mechanical probability for the ground and exited states (n=0,1,2) has been obtained via the Fisher information. This controls both chemical and physical properties of some molecular systems. The Fisher information is considered only for x>0 due to the singular point at x=0. We found that Fisher-information-based uncertainty relation and the Cramer-Rao inequality holds. Some relevant numerical results are presented. The results presented show that the Cramer-Rao and the Heisenberg products in both spaces provide a natural measure for anharmonicity of -V0csch2(ax).
AB - This study presents the Fisher information for the position-dependent mass Schrödinger equation with hyperbolic potential V(x)=-V0csch2(ax). The analysis of the quantum-mechanical probability for the ground and exited states (n=0,1,2) has been obtained via the Fisher information. This controls both chemical and physical properties of some molecular systems. The Fisher information is considered only for x>0 due to the singular point at x=0. We found that Fisher-information-based uncertainty relation and the Cramer-Rao inequality holds. Some relevant numerical results are presented. The results presented show that the Cramer-Rao and the Heisenberg products in both spaces provide a natural measure for anharmonicity of -V0csch2(ax).
KW - Cramer-Rao inequality
KW - Fisher information
KW - Position dependent mass Schrödinger equation
UR - http://www.scopus.com/inward/record.url?scp=84946771337&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2015.09.029
DO - 10.1016/j.physleta.2015.09.029
M3 - Artículo
SN - 0375-9601
VL - 380
SP - 267
EP - 271
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1-2
ER -