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

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Abstract.

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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  1. INIFTA, División Química Teórica, Blvd. 113 S/N, Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

    Francisco M. Fernández

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  1. Francisco M. Fernández
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Correspondence to Francisco M. Fernández.

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Fernández, F.M. Two-dimensional hydrogen-like atom in a uniform magnetic field: Large-order perturbation theory. Eur. Phys. J. Plus 133, 506 (2018). https://doi.org/10.1140/epjp/i2018-12327-0

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  • DOI: https://doi.org/10.1140/epjp/i2018-12327-0

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