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On the rules for filling electron shells and the properties of the atomic Hamiltonian
| Content Provider | Scilit |
|---|---|
| Author | Danshin, Artem Gurevich, Mikhail Kovalishin, Alexey |
| Copyright Year | 2021 |
| Description | Journal: Journal of Physics B: Atomic, Molecular and Optical Physics The aim of this work is to determine the dependence of the total energy of the atomic system on the mutual orientation of the orbital angular moments of electrons. It is shown that the minimum value of the energy is attained for those configurations that are an eigenfunction of the orbital angular momentum operator $\widehat{\mathbf{L}}^{2}$. Thus, at least for individual atoms of the periodic table it is shown that Dirac's postulate on the necessity of a wave function to be an eigenfunction of $\widehat{\mathbf{L}}^{2}$ is a consequence that follows from the properties of the Hamiltonian, and it is not a complementary condition. Additionally, it is shown that the second Hund's rule is incorrect with respect to the mutual orientation of the electron orbital angular momentum projections. |
| Related Links | https://iopscience.iop.org/article/10.1088/1361-6455/ac0768/pdf |
| ISSN | 09534075 |
| e-ISSN | 13616455 |
| DOI | 10.1088/1361-6455/ac0768 |
| Journal | Journal of Physics B: Atomic, Molecular and Optical Physics |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2021-06-02 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics B: Atomic, Molecular and Optical Physics Atomic, Molecular and Chemical Physics Condensed Matter Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Atomic and Molecular Physics, and Optics Condensed Matter Physics |
