Symbolic computation of energy perturbation expansions for spherically symmetric hydrogenic systems
Barry G. Adams, Gustavo A. Arteca
Abstract
Barry G. Adams, Gustavo A. Arteca
Abstract
We show how symbolic computation using the Maple computer algebra system can be used to obtain explicit large order perturbation expansions using recurrence relations obtained directly from the differential equation and from the Hellmann–Feynman and hypervirial theorems. The approach is used to study several D-dimensional hydrogenic systems in several external spherically symmetric potentials.
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We show how symbolic computation using the Maple computer algebra system can be used to obtain explicit large order perturbation expansions using recurrence relations obtained directly from the differential equation and from the Hellmann–Feynman and hypervirial theorems. The approach is used to study several D-dimensional hydrogenic systems in several external spherically symmetric potentials.
Key concepts: Symbolic computation, Maple, Computation, Perturbation (astronomy), Perturbation theory (quantum mechanics), Differential equation, Algebra over a field, Mathematical physics