Perturbative approach to the hydrogen atom in a strong magnetic field View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2003-03

AUTHORS

V. A. Gani, A. E. Kudryavtsev, V. A. Lensky, V. M. Weinberg

ABSTRACT

We consider states of the hydrogen atom with the principal quantum number n≤3 and zero magnetic quantum number in a constant homogeneous magnetic field ℋ. The perturbation theory series is summed using the Borel transformation and conformal mapping of the Borel variable. Convergence of the approximate energy eigenvalues and their agreement with the corresponding existing results are observed for external fields up to n3ℋ/ℋ0∼5, where ℋ0 is the atomic magnetic field. The possibility of restoring the asymptotic behavior of energy levels using perturbation theory coefficients is also discussed. More... »

PAGES

402-406

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/1.1567412

DOI

http://dx.doi.org/10.1134/1.1567412

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048891875


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