Kramers degeneracy theorem in nonrelativistic QED

Michael Loss; Tadahiro Miyao; Herbert Spohn

doi:10.1007/s11005-009-0313-8

Kramers degeneracy theorem in nonrelativistic QED

Michael Loss, Tadahiro Miyao, Herbert Spohn

TUM Emeriti of Excellence

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Degeneracy of the eigenvalues of the Pauli-Fierz Hamiltonian with spin 1/2 is proven by the Kramers degeneracy theorem. The Pauli-Fierz Hamiltonian at fixed total momentum is also investigated.

Original language	English
Pages (from-to)	21-31
Number of pages	11
Journal	Letters in Mathematical Physics
Volume	89
Issue number	1
DOIs	https://doi.org/10.1007/s11005-009-0313-8
State	Published - Jul 2009

Keywords

Atoms coupled to quantized radiation field
Doubly degenerate eigenstates

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10.1007/s11005-009-0313-8

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title = "Kramers degeneracy theorem in nonrelativistic QED",

abstract = "Degeneracy of the eigenvalues of the Pauli-Fierz Hamiltonian with spin 1/2 is proven by the Kramers degeneracy theorem. The Pauli-Fierz Hamiltonian at fixed total momentum is also investigated.",

keywords = "Atoms coupled to quantized radiation field, Doubly degenerate eigenstates",

author = "Michael Loss and Tadahiro Miyao and Herbert Spohn",

note = "Funding Information: This work was supported by the DFG under the grant SP181/24. M.L. would like to acknowledge partial support by NSF grant DMS-0653374.",

year = "2009",

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doi = "10.1007/s11005-009-0313-8",

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AU - Loss, Michael

AU - Miyao, Tadahiro

AU - Spohn, Herbert

N1 - Funding Information: This work was supported by the DFG under the grant SP181/24. M.L. would like to acknowledge partial support by NSF grant DMS-0653374.

PY - 2009/7

Y1 - 2009/7

N2 - Degeneracy of the eigenvalues of the Pauli-Fierz Hamiltonian with spin 1/2 is proven by the Kramers degeneracy theorem. The Pauli-Fierz Hamiltonian at fixed total momentum is also investigated.

AB - Degeneracy of the eigenvalues of the Pauli-Fierz Hamiltonian with spin 1/2 is proven by the Kramers degeneracy theorem. The Pauli-Fierz Hamiltonian at fixed total momentum is also investigated.

KW - Atoms coupled to quantized radiation field

KW - Doubly degenerate eigenstates

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U2 - 10.1007/s11005-009-0313-8

DO - 10.1007/s11005-009-0313-8

M3 - Article

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SN - 0377-9017

VL - 89

SP - 21

EP - 31

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 1

ER -

Kramers degeneracy theorem in nonrelativistic QED

Abstract

Keywords

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