dorsal/arxiv
View SchemaHigh orders of the perturbation theory for hydrogen atom in magnetic field
| Authors | V. A. Gani, A. E. Kudryavtsev, V. M. Weinberg |
|---|---|
| Categories | |
| ArXiv ID | physics/9708005 |
| URL | https://arxiv.org/abs/physics/9708005 |
| DOI | 10.1134/1.558457 |
| Journal | J. Exp. Theor. Phys. 86, 305-311 (1998); Zh. Eksp. Teor. Fiz. 113, 550-562 (1998) |
Abstract
The states of hydrogen atom with principal quantum number $n\le3$ and zero magnetic quantum number in constant homogeneous magnetic field ${\cal H}$ are considered. The coefficients of energy eigenvalues expansion up to 75th order in powers of ${\cal H}^2$ are obtained for these states. The series for energy eigenvalues and wave functions are summed up to ${\cal H}$ values of the order of atomic magnetic field. The calculations are based on generalization of the moment method, which may be used in other cases of the hydrogen atom perturbation by a polynomial in coordinates potential.
{
"annotation_id": "1dd2246e-618d-4b97-af3f-9d8becaf1421",
"date_created": "2026-03-02T18:01:21.416000Z",
"date_modified": "2026-03-02T18:01:21.416000Z",
"file_hash": "5c785a86badd2cb93c18e7fcb2c7e051c72e36a40fdb1542a0a42f76fe4ae94f",
"private": false,
"record": {
"abstract": "The states of hydrogen atom with principal quantum number $n\\le3$ and zero\nmagnetic quantum number in constant homogeneous magnetic field ${\\cal H}$ are\nconsidered. The coefficients of energy eigenvalues expansion up to 75th order\nin powers of ${\\cal H}^2$ are obtained for these states. The series for energy\neigenvalues and wave functions are summed up to ${\\cal H}$ values of the order\nof atomic magnetic field. The calculations are based on generalization of the\nmoment method, which may be used in other cases of the hydrogen atom\nperturbation by a polynomial in coordinates potential.",
"arxiv_id": "physics/9708005",
"authors": [
"V. A. Gani",
"A. E. Kudryavtsev",
"V. M. Weinberg"
],
"categories": [
"physics.atom-ph",
"quant-ph"
],
"doi": "10.1134/1.558457",
"journal_ref": "J. Exp. Theor. Phys. 86, 305-311 (1998); Zh. Eksp. Teor. Fiz. 113,\n 550-562 (1998)",
"title": "High orders of the perturbation theory for hydrogen atom in magnetic field",
"url": "https://arxiv.org/abs/physics/9708005"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "556f89d2-4ac5-4487-9744-42a186a3b531",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}