Two-dimensional hydrogen-like atom in a uniform magnetic field: Large-order perturbation theory
INIFTA, División Química Teórica, Blvd. 113 S/N, Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina
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Accepted: 16 October 2018
Published online: 11 December 2018
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018