articles
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.
2003-03
2019-04-10T13:13
http://link.springer.com/10.1134/1.1567412
Perturbative approach to the hydrogen atom in a strong magnetic field
en
research_article
https://scigraph.springernature.com/explorer/license/
402-406
true
2003-03-01
State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia
Physical Sciences
State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia
readcube_id
e8e95729839ea5e9d0ae302ca631e936cb8ac4938a7e4db69622b047e849f13e
1063-7761
Journal of Experimental and Theoretical Physics
1090-6509
Atomic, Molecular, Nuclear, Particle and Plasma Physics
96
Weinberg
V. M.
Gani
V. A.
Kudryavtsev
A. E.
doi
10.1134/1.1567412
V. A.
Lensky
pub.1048891875
dimensions_id
State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia
State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia
3
Springer Nature - SN SciGraph project