170 citations · 610 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Generalized Geometrical Phase in the Case of Continuous Spectra
M. Maamache, Y. Saadi
A quantal system in an eigenstate, of operators with a continuous nondegenerate eigenvalue spectrum, slowly transported round a circuit C by varing parameters in its Hamiltonian, w…
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…