2 citations · 3 across the 3 of their papers we have counts for
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Gaussian wave packet solution of the Schrodinger equation in the presence of a time-dependent linear potential
M. Maamache, Y. Saadi
We argue that the way to get the general solution of a Schrodinger equation in the presence of a time-dependent linear potential based on the Lewis-Riesenfeld framework is to use a…
Solutions to the time-dependent Schrodinger equation in the continuous spectrum case
M. Maamache, Y. Saadi
We generalize the Lewis-Riesenfeld technique of solving the time-dependent Schrodinger equation to cases where the invariant has continuous eigenvalues. An explicit formula for a g…
Adiabatic Theorem in the Case of Continuous Spectra
M. Maamache, Y. Saadi
In this paper,we present a rigorous demonstration and discussion of the quantum adiabatic theorem for systems having a non degenerate continuous spectrum. A new strategy is initiat…
Evolution of Gaussian Wave Packet and Nonadiabatic Geometrical Phase for the time-dependent Singular Oscillator
Mustapha Maamache, Hacene Bekkar
The geometrical phase of a time-dependent singular oscillator is obtained in the framework of Gaussian wave packet. It is shown by a simple geometrical approach that the geometrica…