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

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

2008-04-27

arxiv.org/abs/0804.4289v1

Physics

Quantum Physics

6 pages

Scientific paper

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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