336 citations · 858 across the 16 of their papers we have counts for
6 papers · 1 filter
PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras
Uwe Guenther, Sergii Kuzhel
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 an…
On the spectrum of the magnetohydrodynamic mean-field alpha^2-dynamo operator
Uwe Guenther, Heinz Langer, Christiane Tretter
The existence of magnetohydrodynamic mean-field alpha^2-dynamos with spherically symmetric, isotropic helical turbulence function alpha is related to a non-self-adjoint spectral pr…
-self-adjoint operators with -symmetries: extension theory approach
S. Albeverio, U. Guenther, S. Kuzhel
A well known tool in conventional (von Neumann) quantum mechanics is the self-adjoint extension technique for symmetric operators. It is used, e.g., for the construction of Dirac-H…
Projective Hilbert space structures at exceptional points
Uwe Guenther, Ingrid Rotter, Boris F. Samsonov
A non-Hermitian complex symmetric 2x2 matrix toy model is used to study projective Hilbert space structures in the vicinity of exceptional points (EPs). The bi-orthogonal eigenvect…
A globally diagonalizable alpha^2-dynamo operator, SUSY QM and the Dirac equation
Uwe Guenther, Boris F. Samsonov, Frank Stefani
A new class of semi-analytically solvable MHD alpha^2-dynamos is found based on a global diagonalization of the matrix part of the dynamo differential operator. Close parallels to…
Third order spectral branch points in Krein space related setups: PT-symmetric matrix toy model, MHD alpha^2-dynamo, and extended Squire equation
Uwe Guenther, Frank Stefani
The spectra of self-adjoint operators in Krein spaces are known to possess real sectors as well as sectors of pair-wise complex conjugate eigenvalues. Transitions from one spectral…