Chiral two-component spinors and the factorization of Kramers's equation

L. C. Biedenharn; L. P. Horwitz

doi:10.1007/bf01889247

Chiral two-component spinors and the factorization of Kramers's equation

L. C. Biedenharn, L. P. Horwitz

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

8 Scopus citations

Abstract

Kramers's equation specialized to the Coulomb field is factored using a rotationally invariant, angular momentum based, algebra of three anticommuting operators. Comparing the explicit chiral two-component solutions for the factored equation to the two-component solutions defined by the Foldy-Wouthuysen series for the Dirac-Coulomb Hamiltonian, it is concluded that this series cannot converge.

Original language	English
Pages (from-to)	953-961
Number of pages	9
Journal	Foundations of Physics
Volume	14
Issue number	10
DOIs	https://doi.org/10.1007/bf01889247
State	Published - Oct 1984
Externally published	Yes

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abstract = "Kramers's equation specialized to the Coulomb field is factored using a rotationally invariant, angular momentum based, algebra of three anticommuting operators. Comparing the explicit chiral two-component solutions for the factored equation to the two-component solutions defined by the Foldy-Wouthuysen series for the Dirac-Coulomb Hamiltonian, it is concluded that this series cannot converge.",

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AB - Kramers's equation specialized to the Coulomb field is factored using a rotationally invariant, angular momentum based, algebra of three anticommuting operators. Comparing the explicit chiral two-component solutions for the factored equation to the two-component solutions defined by the Foldy-Wouthuysen series for the Dirac-Coulomb Hamiltonian, it is concluded that this series cannot converge.

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Chiral two-component spinors and the factorization of Kramers's equation

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