There are two highly efficient approaches, wave function-based approaches and DFT for the electronic Schrodinger equation, the time evolution of quantum wave packets. Firstly, Slater determinants are the critical point for wave function-based methods and can be used to optimise the coefficients and orbitals. The other technique is the Moller-Plesset perturbation theory, which is a quantum chemistry method having electron exchange impacts, and it is based on Rayleigh-Schrödinger perturbation theory (RS-PT) . They have several pros and cons based on the system property, such as the number of elections, exchange-energy correlation and electron position.