96 citations · 271 across the 11 of their papers we have counts for
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Quaternionic eigenvalue problem
S. De Leo, G. Scolarici, L. Solombrino
We discuss the (right) eigenvalue equation for , and linear quaternionic operators. The possibility to introduce an isomorphism between these…
On the pseudo-Hermitian nondiagonalizable Hamiltonians
G. Scolarici, L. Solombrino
We consider a class of (possibly nondiagonalizable) pseudo-Hermitian operators with discrete spectrum, showing that in no case (unless they are diagonalizable and have a real spect…
Pseudohermitian Hamiltonians, time-reversal invariance and Kramers degeneracy
G. Scolarici, L. Solombrino
A necessary and sufficient condition in order that a (diagonalizable) pseudohermitian operator admits an antilinear symmetry T such that T^{2}=-1 is proven. This result can be used…
Weak pseudo-Hermiticity and antilinear commutant
L. Solombrino
We inquire into some properties of diagonalizable pseudo-Hermitian operators, showing that their definition can be relaxed and that the pseudo-Hermiticity property is strictly conn…