Complete solution of the Schrödinger equation for the time-dependent linear potential

Physics – Quantum Physics

Scientific paper

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Scientific paper

The complete solutions of the Schr\"odinger equation for a particle with
time-dependent mass moving in a time-dependent linear potential are presented.
One solution is based on the wave function of the plane wave, and the other is
with the form of the Airy function. A comparison is made between the present
solution and former ones to show the completeness of the present solution.

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