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Quantum Propagator for Arbitrary Potentials on General Grids |
| LIN Shang1;HE Chun-Long1;LI Jia-Ming1 |
| 1Department of Physics, Shanghai Jiaotong University, Shanghai 200030
2Center for Atomic and Molecular Nanosciences, Department of Physics, Tsinghua University, Beijing 100084
3Institute of Physics, Chinese Academy of Sciences, Beijing 100080
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| Cite this article: |
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LIN Shang, HE Chun-Long, LI Jia-Ming 2004 Chin. Phys. Lett. 21 644-647 |
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Abstract The point-to-point Feynman quantum propagator < q1|exp(-iHt/ħ)|q2> has an analytic
form only for quadratic potentials. We apply the split operator approach to obtain a propagator matrix for arbitrary potentials for non-uniform grids, which are particularly useful for real physical potentials with both rapid-varying and smooth regions. We exemplify our method with the wavefunction propagation and the extraction of an eigenvalue and an eigenfunction of a Morse system modelling diatomic molecules.
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| Keywords:
31.15.Kb
31.15.Qg
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Published: 01 April 2004
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