\mathcal {P}\mathcal {T}-symmetry, Cartan decompositions, Lie triple systems and Krein space-related Clifford algebras

DOI10.1088/1751-8113/43/39/392002zbMath1213.47043arXiv1006.1134OpenAlexW2165515403MaRDI QIDQ3052856

Uwe Günther, Sergei Kuzhel

Publication date: 3 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1134

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Applications of Lie (super)algebras to physics, etc. (17B81) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Clifford algebras, spinors (15A66) Linear operators on spaces with an indefinite metric (47B50) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Related Items

Artificial Hawking radiation, weak pseudo-Hermiticity, and Weyl semimetal blackhole analogy, On the theory of \(\mathcal{PT}\)-symmetric operators, On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators, Scattering theory for 0-perturbed \(\mathcal{PT}\)-symmetric operators, Hypercomplex representations of the Heisenberg group and mechanics, On a class of \(J\)-self-adjoint operators with empty resolvent set, WEIGHT MODULES OVER SPLIT LIE ALGEBRAS