Numerical calculation of finite Bose-Einstein condensation in harmonic potentials;

The critical temperature and the ground state fraction of weakly interacting Bose Einstein condensation in a harmonic potential trap are calculated with numerical method.

In this paper,the approximate calculation approach of the Franck-Condon overlaps integrals in the electronic vibronic spectra of polyatomic molecule is investigated with the second-order perturbation theory and the harmonic oscillator potential.

A solution to the ground and single vortex states of Bose-condensed gas in an axially symmetric harmonic trap;

Solution of the ground state wave function of Bose-condensed gas in a harmonic trap based on the Gross-Pitaevskii function;

This paper studied a one-dimensional nonlinear Schrodinger equation and described a Bose-Einstein condensation with G-P function and variation in a three-dimensional axisymmetrical harmonic trap and a one-dimensional optical lattice.

According to the analysis of wave function, we can find that harmonic potential is a good model to describe quantum dots.

potential,which is the surperposition potential of the Corlomb potential and the harmonic potential in three dimensions, and discuss the degeneracy of its energy livil.

potential, which is the superposition potential of the Coulomb potential, the harmonic potentialin three dimensions and the linear potential, and points out the characteristics of the potential and its solutions.