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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2026-06-11 23:58 |
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Conference: Bucharest University Faculty of Physics 2026 Meeting
Section: Theoretical and Computational Physics, Applied Mathematics
Title:
Numerical study of 2D scattering on central and non-central potentials
Authors:
Eva IOACHIMESCU, Madalina BOCA
Affiliation:
University of Bucharest, Department of Physics
E-mail
eva-maria.ioachimescu@s.unibuc.ro
Keywords:
scattering, phase-shifts, TDSE
Abstract:
We present a numerical study in the framework of quantum theory of the scattering of a particle moving in a two-dimensional plane on a static potential. We first outline the split-operator (SO) method used to integrate the time-dependent Schrödinger equation (TDSE) and introduce the code developed for this study.
To validate our implementation, we present test results for a free particle, comparing them with known analytical formulas.
Next, we analyze the scattering on a centrally symmetric Gaussian potential; we calculate the differential cross-section from the probability current and extract the corresponding phase shifts.
Finally, we consider the case of the non-central Henon-Heiles potential, illustrating how the shape of the scattered probability current depends on the initial energy of the particle.
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