An error bound for the time-sliced thawed Gaussian propagation method
We study the time-sliced thawed Gaussian propagation method, which was recently proposed for solving the time-dependent Schrödinger equation. We introduce a triplet of quadrature-based analysis, synthesis and re-initialization operators to give a rigorous mathematical formulation of the method. Furt...
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| Veröffentlicht in: | Numerische Mathematik 2022-11, Vol.152 (3), p.511-551 |
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| creator | Bergold, Paul Lasser, Caroline |
| description | We study the time-sliced thawed Gaussian propagation method, which was recently proposed for solving the time-dependent Schrödinger equation. We introduce a triplet of quadrature-based analysis, synthesis and re-initialization operators to give a rigorous mathematical formulation of the method. Further, we derive combined error bounds for the discretization of the wave packet transform and the time-propagation of the thawed Gaussian basis functions. Numerical experiments in 1D illustrate the theoretical results. |
| doi_str_mv | 10.1007/s00211-022-01319-7 |
| format | Article |
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| language | eng |
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| subjects | Basis functions Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Operators (mathematics) Quadratures Schrodinger equation Simulation Theoretical Time dependence Wave packets Wave propagation |
| title | An error bound for the time-sliced thawed Gaussian propagation method |
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