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Research PaperResearchia:202606.19087

Eigenvector Varieties

Sandra Di Rocco

Abstract

Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvector varieties, with focus on Lie algebras and Hamiltonians of quantum systems. --- Source: arXiv:2606.20432v1 - http://arxiv.org/abs/2606.20432v1 PDF: https://arxiv.org/pdf/2606.20432v1 Original Link: http://arxiv.org/abs/2606.20432v1

Submitted: June 19, 2026Subjects: Quantum Physics; Quantum Computing

Description / Details

Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvector varieties, with focus on Lie algebras and Hamiltonians of quantum systems.


Source: arXiv:2606.20432v1 - http://arxiv.org/abs/2606.20432v1 PDF: https://arxiv.org/pdf/2606.20432v1 Original Link: http://arxiv.org/abs/2606.20432v1

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Date:
Jun 19, 2026
Topic:
Quantum Computing
Area:
Quantum Physics
Comments:
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