Publications Repository - Helmholtz-Zentrum Dresden-Rossendorf
1 PublicationPTQM related Cartan and Clifford structures
Günther, U.
Abstract
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 and an underlying Lie-triple structure is described. 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.
Keywords: PT quantum mechanics; non-Hermitian Hamiltonians; gauge theory; Abelian gauge field; non-Abelian gauge field; Cartan decomposition; compact and noncompact components; Lie triple system; Clifford algebra; ultra-localized potential; Krein space; J-selfadjoint extension
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Invited lecture (Conferences)
Analytic and algebraic methods VI, 10.-11.05.2010, Prague, Czech Republic
Permalink: https://www.hzdr.de/publications/Publ-14930
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