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arXiv · 0804.4289

Solutions to the time-dependent Schrodinger equation in the continuous spectrum case

M. Maamache·Y. Saadi
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Abstract

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 generalized Lewis-Riesenfeld phase is derived in terms of the eigenstates of the invariant. As an illustration the generalized phase is calculated for a particle in a time-dependent linear potential.

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M. Maamache, Y. Saadi. 2008-04-27. Solutions to the time-dependent Schrodinger equation in the continuous spectrum case. https://arxiv.org/abs/0804.4289

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