We calculated the energies of the static solitary wave solutions of the one-dimensional
Gross-Pitaevskii equation with the time-dependent parabolic trap, the time-dependent …

By using the one-dimensional canonical partition function, we modelled an ideal gas-like
form of a set of Bose-Einstein condensates confined by a three-dimensional anisotropic …

We formulated some gauge transformations of the three-dimensional Gross-Pitaevskii
equation coupled by a time-dependent potential. To do that, we determined explicitly all the …

Dynamical system of a relativistic particle under harmonic oscillator potential was
considered through its stability. We first construct the Hamiltonian of the system, which …

Considering a set of condensates as N indistinguishable noninteracting quantum oscillators
and replacing an available volume with a harmonic volume, we derived an ideal gas model …