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EQUIVALENCE OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH CONSTANT AND TIME-DEPENDENT MASS

    https://doi.org/10.1142/S0217732303012829Cited by:2 (Source: Crossref)

    We show that the time-dependent Schrödinger equation (TDSE) for a potential of the form V(x,t)=A(t)x2+B(t)x+C(t) and time-dependent mass can be transformed into the same TDSE with constant mass. We obtain an explicit formula relating solutions of the TDSE for time-dependent mass and for constant mass to each other.

    PACS: 03.65.Ge, 03.65.Fd