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quant-ph2017
Analysis of wavepacket tunneling with the method of Laplace transformation
Natascha Riahi
We use the method of Laplace transformation to determine the dynamics of a wave packet that passes a barrier by tunneling. We investigate the transmitted wave packet and find that…
quant-ph2016
Solving the time-dependent Schrödinger equation via Laplace transform
Natascha Riahi
We show how the Laplace transform can be used to give a solution of the time-dependent Schrödinger equation for an arbitrary initial wave packet if the solution of the stationary e…
quant-ph2011
The evolution of quantal uncertainties in at most quadratic potentials
Natascha Riahi
We investigate the time evolution of momentum and position uncertainties for wave packets of arbitrary shape in at most quadratic potentials. We consider all possible cases of pote…