Quantum information of the modified Mobius squared plus Eckart potential

Abstract

The quantum information measures and complexity of the modified Mobius squared plus Eckart (MMSE) potential are presented in this paper. First, the energy eigenvalues and wave function of the system are obtained from the approximate solutions of the Schrödinger equation via the parametric Nikiforov-Uvarov (pNU) method.Using the wave function, the Shannon entropy, Onicescu information energy and Fisher information of the system are examined for two low-lying states along with the modified Lopez-Ruiz-Mancini-Calbet (LMC) complexity and Heisenberg uncertainty relation. The results of the work point to the fact that the radial (momentum) probability density peak shifts to lower (higher) values with increase in the screening parameter. Furthermore, the Bialynicki-Birula and Mycielski (BBM) inequality, the lower bound of the modified LMC complexity, the Fisher information sum inequality and the Stam-Cramer-Rao inequality are verified for the system. Also, the Heisenberg uncertainty principle is verified for the MMSE potential and the existence of squeezed states is observed for both position and momentum states.

Topological defects on the energy spectra of diatomic molecules embedded with shifted Deng–Fan oscillator potential under AB flux field

“…l ¼ 0 for a s-wave state or non-rotational state and l ≠ 0 for a rotational state. Substituting the value of Ψ nlm ðt,r, θ, ϕÞ in (18) and after simplification we get the radial part of the Schrödinger Equation as [32,[34][35][36]:…”

“…This model has a wide applications in the area of chemical physics, molecular spectroscopy, molecular physics and related areas. Using different numerical methods, study of this potential model is a hot topic nowadays and for this reason it has captured an attention among the authors [3,6,7,15,18,19]. Deng and Fan had given the concept of the Deng–Fan (DF) oscillator potential for diatomic molecules in 1957 [9,10], …”