PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras

Autor:	Guenther, Uwe, Kuzhel, Sergii
Rok vydání:	2010
Předmět:	Mathematical Physics Quantum Physics
Zdroj:	J.Phys.A43:392002,2010
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/43/39/392002
Popis:	Gauged PT quantum mechanics (PTQM) and corresponding Krein space setups are studied. For models with constant non-Abelian gauge potentials and extended parity inversions compact and noncompact Lie group components are analyzed via Cartan decompositions. A Lie triple structure is found and an interpretation as PT-symmetrically generalized Jaynes-Cummings model is possible with close relation to recently studied cavity QED setups with transmon states in multilevel artificial atoms. For models with Abelian gauge potentials a hidden Clifford algebra structure is found and used to obtain the fundamental symmetry of Krein space related J-selfadjoint extensions for PTQM setups with ultra-localized potentials. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1006.1134 Zobrazit plný text záznamu View this record from Arxiv