Non-Hermitian generalization of Rayleigh-Schrödinger perturbation theory

The authors develop a perturbation theory for non-Hermitian systems based on a geometric formalism that yields relatively simple recursive formulas for the perturbed eigenvectors and eigenvalues. The authors provide an example and show that the method proposed reduces to the standard Rayleigh-Schr"odinger perturbation theory in the Hermitian regime.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2025-02-07
DOI
https://doi.org/10.1103/physreva.111.022211
Citations
4
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
4.99
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article

Non-Hermitian generalization of Rayleigh-Schrödinger perturbation theory

Chia-Yi Ju, Wei-Ming Chen, Yen-Ting Lin
4 citations
Physical review. A/Physical review, A
Quantum Mechanics and Non-Hermitian Physics
4.99
article

Non-Hermitian generalization of Rayleigh-Schrödinger perturbation theory

Chia-Yi Ju, Wei-Ming Chen, Yen-Ting Lin
article en
4 citations

Abstract

The authors develop a perturbation theory for non-Hermitian systems based on a geometric formalism that yields relatively simple recursive formulas for the perturbed eigenvectors and eigenvalues. The authors provide an example and show that the method proposed reduces to the standard Rayleigh-Schr\"odinger perturbation theory in the Hermitian regime.

Physical review. A/Physical review, AVol. 111(2)
National Sun Yat-sen University (TW), National Center for Theoretical Sciences (TW)
Climate action
Openalex Percentile: Top 6%
Quantum Mechanics and Non-Hermitian Physics
4.99
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