The resonance enhance multiphoton ionization photoelectron spectroscopy of several molecules is simulated by employing the Split Operator-Fourier transform scheme in the time-dependent wave-packet dynamics,and the applicability of the scheme on the two dimensional problem is proved by extending it from one dimensional problem to two dimensional problem.

Using the quantum Gaussian wave packet analysis method,we calculate the autocorrelation function of the rectangular billiard,the peak positions of the autocorrelation function match well with the periods of the classical periodic orbits,which show that the period of the classical orbits can be produced by the time-dependent quantum wave packet .

By encoding quantum dynamics in a shared EPR entanglement and single qubit states, we propose a program- able quantum processor which allows us to implement local restricted set of operations on the remote state.

By a generalized version of AGS reduction procedure we show that the forms of quantum dynamics at different strata are the same.

We study the quantum dynamics in an incommensurate system with potentials Vn=λtanh[Acos (2πσn)]/tanhA,where σ=(5-1)/2.