Efficient wavefunction propagation by minimizing accumulated action
This paper presents a new technique to calculate the evolution of a quantum wavefunction in a chosen spatial basis by minimizing the accumulated action. Introduction of a finite temporal basis reduces the problem to a set of linear equations, while an appropriate choice of temporal basis set offers...
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| Veröffentlicht in: | Computer physics communications 2011-04, Vol.182 (4), p.935-939 |
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| container_end_page | 939 |
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| container_issue | 4 |
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| container_title | Computer physics communications |
| container_volume | 182 |
| creator | Walters, Zachary B. |
| description | This paper presents a new technique to calculate the evolution of a quantum wavefunction in a chosen spatial basis by minimizing the accumulated action. Introduction of a finite temporal basis reduces the problem to a set of linear equations, while an appropriate choice of temporal basis set offers improved convergence relative to methods based on matrix exponentiation for a class of physically relevant problems. |
| doi_str_mv | 10.1016/j.cpc.2010.12.030 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0010-4655 |
| ispartof | Computer physics communications, 2011-04, Vol.182 (4), p.935-939 |
| issn | 0010-4655 1879-2944 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_864418270 |
| source | Elsevier ScienceDirect Journals Complete |
| subjects | Action Convergence Evolution Linear equations Mathematical analysis Propagator Temporal logic Time dependence Time dependent Schrödinger equation Wave propagation Wavefunctions |
| title | Efficient wavefunction propagation by minimizing accumulated action |
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