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quant-ph2008★ 2 cited
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…
quant-ph2008
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…
quant-ph2008★ 1 cited
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…