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Kramers degeneracy without eigenvectors

Roberts, Bryan W. ORCID: 0000-0003-0548-1280 (2012) Kramers degeneracy without eigenvectors. Physical Review A, 86 (3). ISSN 1050-2947

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Identification Number: 10.1103/PhysRevA.86.034103


Wigner gave a well-known proof of Kramers degeneracy for time reversal invariant systems containing an odd number of half-integer spin particles. But Wigner's proof relies on the assumption that the Hamiltonian has an eigenvector, and thus does not apply to many quantum systems of physical interest. This Brief Report illustrates an algebraic way to talk about Kramers degeneracy that does not appeal to eigenvectors and provides a derivation of Kramers degeneracy in this more general context.

Item Type: Article
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Additional Information: © 2012 American Physical Society
Divisions: Philosophy, Logic and Scientific Method
Subjects: B Philosophy. Psychology. Religion > BC Logic
Date Deposited: 05 Nov 2013 15:26
Last Modified: 16 May 2024 01:32

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