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Complex trajectories sans isochrones: Quantum barrier scattering with rectilinear constant velocity trajectories
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View: Figures


Image of FIG. 1.
FIG. 1.

(Color online) Real-valued metastable potential setup. The potential is shown by the dashed curve, and the initial wave packet by the solid curve. The observation point is also shown.

Image of FIG. 2.
FIG. 2.

(Color online) Absolute value of the complex-extended metastable potential. The contour representing the barrier height is shown. The white circle denotes the observation point, and the ALE trajectory is represented by the solid line.

Image of FIG. 3.
FIG. 3.

(Color online) Calculated flux vs time for Eckart barriers for two initial wave packet energies: (a) deep tunneling, ; (b) high energy, . The squares represent the value computed via ALE/CVDPM, and the continuous curves by the PSM.

Image of FIG. 4.
FIG. 4.

(Color online) Integrated fluxes for (a) metastable well, (b) Gaussian barrier, and (c) Eckart barrier. The PSM results are represented by the solid lines, while the ALE/CVDPM results are denoted by symbols.

Image of FIG. 5.
FIG. 5.

(Color online) Energy dependence of errors for the Eckart, Gaussian, and metastable potentials: (a) relative errors and (b) absolute errors for the best cases.

Image of FIG. 6.
FIG. 6.

(Color online) Sensitivity of flux integrals to changes in the start and collection points.

Image of FIG. 7.
FIG. 7.

(Color online) ALE/CVDPM integrated fluxes for the Eckart barrier using only constant velocity trajectories on the real axis. The exact result is denoted by a solid line, while the ALE/CVDPM results by symbols.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Complex trajectories sans isochrones: Quantum barrier scattering with rectilinear constant velocity trajectories