On Invariant Vectors in the Presence of Electric and Magnetic Fields
In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as the Laplace–Runge–Lenz vector, the Redmond vector in the presence of an electric field, the Landau–Avron–Sivardièrevector when the system is subject to a magnetic field, and the supergeneralized...
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| Published in | Atoms Vol. 11; no. 7; p. 105 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
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MDPI AG
01.07.2023
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| Online Access | Get full text |
| ISSN | 2218-2004 2218-2004 |
| DOI | 10.3390/atoms11070105 |
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| Abstract | In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as the Laplace–Runge–Lenz vector, the Redmond vector in the presence of an electric field, the Landau–Avron–Sivardièrevector when the system is subject to a magnetic field, and the supergeneralized Runge–Lenz vector for the two-center problem. The application to the Stark and Zeeman effects are outlined. The existence of constants of motion in the charge-dyon system is also briefly mentioned. |
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| AbstractList | In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as the Laplace–Runge–Lenz vector, the Redmond vector in the presence of an electric field, the Landau–Avron–Sivardièrevector when the system is subject to a magnetic field, and the supergeneralized Runge–Lenz vector for the two-center problem. The application to the Stark and Zeeman effects are outlined. The existence of constants of motion in the charge-dyon system is also briefly mentioned. |
| Audience | Academic |
| Author | Pain, Jean-Christophe |
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| Snippet | In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as the Laplace–Runge–Lenz vector, the Redmond vector in... |
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| SubjectTerms | Atomic physics Charged particles dynamical symmetry Electric fields Electromagnetic fields Energy Hermann–Bernoulli–Laplace–Runge–Lenz vector Hydrogen invariant vectors Invariants Magnetic fields Mathematical models Orbits Quantum dots Quantum physics Redmond invariant supergeneralized Runge–Lenz vector Symmetry |
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| Title | On Invariant Vectors in the Presence of Electric and Magnetic Fields |
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