Quantum information entropies for a soliton at hyperbolic well

Abstract

In this work, the probability uncertainties related to a stationary quantum system with solitonic mass distribution when subjected to deformable hyperbolic potentials are studied. Shannon's entropy and Fisher's information of a position-dependent mass are calculated. To investigate the concept of Shannon and Fisher entropies of the solitonic mass distribution subject to the hyperbolic potential, it is necessary to obtain the analytic solutions at position and momentum space. For the Hamiltonian operator to be Hermitian, we consider the stationary Schrödinger equation ordered by Zhu-Kroemer. This ordering is known to describe abrupt heterojunctions in semiconductor materials.

arXiv comment21 pages, 25 figures

References in corpus (8)

• Exact solvability of potentials with spatially dependent effective masses
• Fisher's information for the position-dependent mass Schrödinger system
• Quantum information entropies of the eigenstates and the coherent state of the Pöschl-Teller potential
• Analytic results in the position-dependent mass Schrodinger problem
• Treating some solid state problems with the Dirac equation
• Exact solution of Schrodinger equation for modified Kratzer's molecular potential with the position-dependent mass
• A generalized permutation entropy for random processes
• First-order intertwining operators with position dependent mass and $\eta$- weak-psuedo-Hermiticity generators

Cited by in corpus (2)

• Quantum information of the Aharanov-Bohm ring with Yukawa interaction in the presence of disclination
• Quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect