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Bibliographic Details
Main Authors: Jones, Joseph M., Long, M. W.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.05153
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Table of Contents:
  • We provide a systematic formula, in terms of integer partitions, that generates perturbation theory explicitly at an arbitrary order. Our approach naturally includes an infinite number of perturbations and uses a single matrix equation that contains the information for both the eigenvalue and eigenvector corrections. The formula reduces to the standard case of one perturbation in the appropriate limit. This formulation streamlines the derivations that are traditionally tedious in perturbation theory, facilitating high-order calculations.