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Wave packet dynamics of nonlinear Gazeau–Klauder coherent states of a position-dependent mass system in a Coulomb-like potential

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Chinese Physics B 2021年第6期30卷 154-163页

作者： Faustin Blaise Migueu mercel vubangsi Martin Tchoffo Lukong Cornelius Fai Unitéde Recherche de Matière Condensée d'Électronique et de Traitement du SignalDépartement de PhysiqueFacultédes SciencesUniversitéde DschangB.P:67DschangCameroon Computational Material Science Laboratory Higher Technical Teachers'Training College BambiliUniversity of BamendaPO Box 39BamendaCameroon Centre d'Études et de Recherches en Agronomie et en Biodiversité Universitéde DschangDschangCameroon

AD = 1 position-dependent mass approach to constructing nonlinear quantum states for a modified Coulomb potential is used to generate Gazeau–Klauder coherent states. It appears that their energy eigenvalues are scaled down by the quantum number and the nonlinearity coefficient. We study the basic properties of these states, which are found to be undefined on the whole complex plane, and some details of their revival structure are discussed.

关键词： deformed Coulomb potential energy spectrum coherent states photon number distribution quantum revivals

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Revival of Order in the Chaotic Dynamics with Position and Time Dependent Perturbed System

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Journal of Applied Mathematics and Physics 2020年第11期8卷 2658-2670页

作者： Lylyane S. Yonya Tchapda Martin Tchoffo mercel vubangsi Faustin B. Migueu Lukong C. Fai Condensed Matter and Nanomaterials Department of Physics Faculty of Science University of Dschang Dschang Cameroon

Studying quantum properties of a system has been quite popular in quantum mechanics. One of the most important systems that are very crucial to the framework of quantum mechanics is the system of harmonic oscillator a system whose classical evolution is known to exhibit peculiar chaotic dynamics. We are motivated to investigate the behavior of quantum properties for a system with position and time dependent perturbed. Starting with Hamiltonian, we determined the equation of motion and obtained the wave function. The energy of the whole system using the operator ordering method was found. We show that the quantum mechanical picture alludes to a chaotic dynamics as expected. This is evidenced through the appearance of energy level crossings. An additional signature to this chaotic dynamics is observed in the transition of Eigen values from real to imaginary. We also show numerically that one can give the behavior of the system is Poincare section. By so doing we confirmed that increasing and decreasing the perturbation amplitude of the system becomes chaotic.

关键词： Schrödinger Equation Crossing Chaotic Dynamics Perturbed System Harmonic Oscillator

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