Two-dimensional hydrogen-like atom in a uniform magnetic field: Large-order perturbation theory

  • Francisco M. FernándezEmail author
Regular Article


The well-known hypervirial perturbation method (HPM), based on hypervirial relations and the Hellmann-Feynman theorem, is suitable for the calculation of perturbation corrections of large order for the non-relativistic, spinless, two-dimensional hydrogen-like atom in a uniform magnetic field. We show analytical results in terms of the quantum numbers and large-order corrections for particular states. This approach appears to be simpler and more efficient than the recently proposed one based on the Green’s functions for this particular model.


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© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.INIFTADivisión Química TeóricaLa PlataArgentina

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