dorsal/arxiv
View SchemaPerturbative approach to the hydrogen atom in strong magnetic field
| Authors | V. A. Gani, A. E. Kudryavtsev, V. A. Lensky, V. M. Weinberg |
|---|---|
| Categories | |
| ArXiv ID | physics/0207103 |
| URL | https://arxiv.org/abs/physics/0207103 |
| DOI | 10.1134/1.1567412 |
| Journal | JETP, vol. 96, num. 3, pp. 402-406 (2003) |
Abstract
The states of hydrogen atom with principal quantum number n <= 3 and zero magnetic quantum number in constant homogeneous magnetic field H are considered. The perturbation theory series is summed with the help of Borel transformation and conformal mapping of the Borel variable. Convergence of approximate energy eigenvalues and their agreement with corresponding existing results are observed for external fields up to n^3 H ~ 5. The possibility of restoring the asymptotic behaviour of energy levels using perturbation theory coefficients is also discussed.
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"abstract": "The states of hydrogen atom with principal quantum number n \u003c= 3 and zero\nmagnetic quantum number in constant homogeneous magnetic field H are\nconsidered. The perturbation theory series is summed with the help of Borel\ntransformation and conformal mapping of the Borel variable. Convergence of\napproximate energy eigenvalues and their agreement with corresponding existing\nresults are observed for external fields up to n^3 H ~ 5. The possibility of\nrestoring the asymptotic behaviour of energy levels using perturbation theory\ncoefficients is also discussed.",
"arxiv_id": "physics/0207103",
"authors": [
"V. A. Gani",
"A. E. Kudryavtsev",
"V. A. Lensky",
"V. M. Weinberg"
],
"categories": [
"physics.atom-ph",
"quant-ph"
],
"doi": "10.1134/1.1567412",
"journal_ref": "JETP, vol. 96, num. 3, pp. 402-406 (2003)",
"title": "Perturbative approach to the hydrogen atom in strong magnetic field",
"url": "https://arxiv.org/abs/physics/0207103"
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