The hydrogen algebra as centerless twisted Kac-Moody algebra

Jamil Daboul; Peter Slodowy; Claudia Daboul

doi:10.1016/0370-2693(93)91003-6

The hydrogen algebra as centerless twisted Kac-Moody algebra

Jamil Daboul, Peter Slodowy, Claudia Daboul

Department of Physics

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

31 Scopus citations

Abstract

We show that the dynamical symmetry of the hydrogen atom leads in a natural way to the infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moody algebras of so(4) and so(3,1), which are isomorphic to each other over R. The relevant automorphism can be associated with parity.

Original language	English
Pages (from-to)	321-328
Number of pages	8
Journal	Physics Letters B
Volume	317
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(93)91003-6
State	Published - 11 Nov 1993

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "The hydrogen algebra as centerless twisted Kac-Moody algebra",

abstract = "We show that the dynamical symmetry of the hydrogen atom leads in a natural way to the infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moody algebras of so(4) and so(3,1), which are isomorphic to each other over R. The relevant automorphism can be associated with parity.",

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AU - Daboul, Jamil

AU - Slodowy, Peter

AU - Daboul, Claudia

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N2 - We show that the dynamical symmetry of the hydrogen atom leads in a natural way to the infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moody algebras of so(4) and so(3,1), which are isomorphic to each other over R. The relevant automorphism can be associated with parity.

AB - We show that the dynamical symmetry of the hydrogen atom leads in a natural way to the infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moody algebras of so(4) and so(3,1), which are isomorphic to each other over R. The relevant automorphism can be associated with parity.

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DO - 10.1016/0370-2693(93)91003-6

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JO - Physics Letters B

JF - Physics Letters B

IS - 3

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The hydrogen algebra as centerless twisted Kac-Moody algebra

Abstract

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