Investigation On The Polarizabilities And Dispersion Coefficients Of Hydrogen And Li Atoms

In recent years, with the advances in laser cooling and trappingtechnology and the realization of Bose-Einstein condensation for someelements, there has been increased interest in investigating the atomicpolarizabilities and the dispersion coefficients. This paper reports mywork of polarizabilities and the dispersion coefficients of hydrogen andLi atoms nearly three years.This paper are mainly from three aspects and divided into threechapters:The first chapter mainly introduces the theoretical basis of atomicpolarizability and dispersion coefficients. The content of this includeperturbation theory of electrostatic interaction energy between atoms, theexpression of interaction energy and the dispersion coefficients, therelationship between dispersion coefficients and polarizability, and thecalculation of polarizability.The second chapter mainly introduces the calculation of dispersioncoefficients and polarizability of hydrogen atom. Base on the GreenFunction method of polarizability of hydrogen atom, a new expression ofhydrogen atom’s polarizability has been obtained by derivation firstly.The problem of the calculation of the dynamic polarizability of theHydrogen atoms has been solved. Using the new expression, themultipolar polarizabilities and dispersion coefficients of the Hydrogenatom are calculated. Especially the three-body dispersion coefficients of H(2s)-H(2s)-H(2s) system are reported firstly.The third chapter mainly introduces the calculation of dispersioncoefficients and polarizability of Li atom. The points of this work iscomputation of polarizability of Li atoms by model potential method andthe variationally stable procedure. The contents of that is: base on theWBEPM theory, the wave function of Li atom is obtained by solving theSchrodinger equation, then the multipolar polarizabilities and two-bodydispersion coefficients of the Li atom are calculated by the variationallystable procedure invented by Gao and Starace. The calculated resultsagree well with the results in previous papers. The variationally stableprocedure is accurate and attain rapid convergence, so the process ofcalculation is fast and efficient.These works can be treated as a valuable reference to otherresearches, and the present method can be used to research of otheratoms.The results of research on these two methods have formed the twopapers.Oneof them published in the Journal of Anhui Normal University(Natural Science), and the other is accepted by Journal of Atomic andMolecular Physics.