Shannon Entropy and Fisher Information of the one-dimensional Klein-Gordon oscillator with energy-dependent potential

Abstract

In this paper, we studied, at first, the influence of the energy-dependent potentials on the one-dimensionless Klein-Gordon oscillator. Then, the Shannon entropy and Fisher information of this system are investigated. The position and momentum information entropies for the low-lying states n=0,1,2 are calculated. Some interesting features of both Fisher and Shannon densities as well as the probability densities are demonstrated.

14 figures, any comments are welcome. arXiv admin note: text overlap with arXiv:1607.02123

References in corpus (5)

• Fisher's information for the position-dependent mass Schrödinger system
• Eigensolution techniques, their applications and the Fisher's information entropy of Tietz-Wei diatomic molecular model
• Some features of the statistical complexity, Fisher-Shannon information, and Bohr-like orbits in the Quantum Isotropic Harmonic Oscillator
• On generalized Cramér-Rao inequalities, generalized Fisher informations and characterizations of generalized q-Gaussian distributions
• Chameleonic equivalence postulate and wave function collapse

Cited by in corpus (6)

• Information and thermodynamic properties of a non-Hermitian particle ensemble
• Statistical properties of linear Majorana fermions
• Quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect
• A statistical mechanical analysis on the bound state solution of an energy-dependent deformed Hulthén potential energy
• Bound state solutions of the Klein Gordon equation with energy-dependent potentials
• Thermal Properties of CO Diatomic Molecule in the Presence of Energy Slope Parameter (ESP)