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- W2465731279 abstract "We show how the Laplace transform can be used to give a solution of the time-dependent Schrodinger equation for an arbitrary initial wave packet if the solution of the stationary equation is known. The solution is obtained without summing up eigenstates nor do we need the path integral. We solve the initial value problem for three characteristic piecewise constant potentials. The results give an intuitive picture of the wave packet dynamics, reproducing explicitly all possible reflection and transmission processes. We investigate classical and quantum properties of the evolution and determine the reflection and transmission probabilities." @default.
- W2465731279 created "2016-07-22" @default.
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- W2465731279 date "2016-06-24" @default.
- W2465731279 modified "2023-09-27" @default.
- W2465731279 title "Solving the time-dependent Schrodinger equation via Laplace transform" @default.
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- W2465731279 hasPublicationYear "2016" @default.
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