A numerical algorithm for solving the coupled Schrödinger equations using inverse power method
The inverse power method is a numerical algorithm to obtain the eigenvectors of a matrix. In this work, we develop an iteration algorithm, based on the inverse power method, to numerically solve the Schrödinger equation that couples an arbitrary number of components. Such an algorithm can also be ap...
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| Vydáno v: | Computer physics communications Ročník 303; s. 109284 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier B.V
01.10.2024
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| ISSN: | 0010-4655, 1879-2944 |
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| Abstract | The inverse power method is a numerical algorithm to obtain the eigenvectors of a matrix. In this work, we develop an iteration algorithm, based on the inverse power method, to numerically solve the Schrödinger equation that couples an arbitrary number of components. Such an algorithm can also be applied to the multi-body systems. To show the power and accuracy of this method, we also present an example of solving the Dirac equation under the presence of an external scalar potential and a constant magnetic field, with source code publicly available. |
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| AbstractList | The inverse power method is a numerical algorithm to obtain the eigenvectors of a matrix. In this work, we develop an iteration algorithm, based on the inverse power method, to numerically solve the Schrödinger equation that couples an arbitrary number of components. Such an algorithm can also be applied to the multi-body systems. To show the power and accuracy of this method, we also present an example of solving the Dirac equation under the presence of an external scalar potential and a constant magnetic field, with source code publicly available. |
| ArticleNumber | 109284 |
| Author | Zhao, Jiaxing Shi, Shuzhe |
| Author_xml | – sequence: 1 givenname: Jiaxing surname: Zhao fullname: Zhao, Jiaxing email: jzhao@subatech.in2p3.fr organization: Physics Department, Tsinghua University, Beijing 100084, China – sequence: 2 givenname: Shuzhe orcidid: 0000-0002-3042-3093 surname: Shi fullname: Shi, Shuzhe email: shuzhe-shi@tsinghua.edu.cn organization: Physics Department, Tsinghua University, Beijing 100084, China |
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| Cites_doi | 10.1016/j.physletb.2015.10.038 10.1146/annurev.pc.41.100190.001435 10.1103/PhysRevC.109.024901 10.1103/PhysRevD.102.114001 10.1063/1.2108157 10.1016/j.jcp.2010.04.032 10.1103/RevModPhys.73.33 10.1088/0305-4470/38/10/010 10.1016/j.physletb.2005.11.086 10.1007/s006010050102 10.1103/PhysRevA.65.012109 10.1016/0021-9991(71)90054-4 10.1006/jcph.1994.1211 10.1103/PhysRevD.82.094020 10.1016/0010-4655(96)00063-X 10.1103/PhysRevD.36.3007 10.1016/j.physletb.2017.05.061 10.1002/qua.10472 10.1088/1751-8113/40/8/013 10.1103/PhysRevA.47.4114 10.1063/1.1896437 10.1016/j.ppnp.2020.103801 10.3389/fphy.2020.00069 10.1103/PhysRevC.40.974 10.1103/PhysRevD.88.014021 10.1063/1.431514 10.1016/j.cpc.2020.107183 |
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| Title | A numerical algorithm for solving the coupled Schrödinger equations using inverse power method |
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