1994Computers in PhysicsRequires access

Symbolic computation of energy perturbation expansions for spherically symmetric hydrogenic systems

Barry G. Adams, Gustavo A. Arteca

Open publisher page 3 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Symbolic computation, Maple, Computation, Perturbation (astronomy), Perturbation theory (quantum mechanics), Differential equation, Algebra over a field, Mathematical physics

Related papers

Back to paper searchBrowse research topicsOriginal source
Symbolic computation of energy perturbation expansions for spherically symmetric hydrogenic systems — Research Paper | ScholarLens