Mostafazadeh, A., Scolarici, G.
Pseudo-Hermitian operators can be used in modeling electromagnetic wave propagation in stationary lossless media. We extend this method to a class of non-dispersive anisotropic media that may display...
Alternative descriptions and bipartite compound quantum systems (2008)
We analyze some features of alternative Hermitian and quasi-Hermitian quantum descriptions of simple and bipartite compound systems. We show that alternative descriptions of two interacting...
Quasistationary quaternionic Hamiltonians and complex stochastic maps (2007)
We show that the complex projections of time-dependent $\eta $-quasianti-Hermitian quaternionic Hamiltonian dynamics are complex stochastic dynamics in the space of complex quasi-Hermitian density...
Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems (2005)
Marmo, G., Scolarici, G., Simoni, A., Ventriglia, F.
We discuss the alternative algebraic structures on the manifold of quantum states arising from alternative Hermitian structures associated with quantum bi-Hamiltonian systems. We also consider the...
Classical and Quantum Systems: Alternative Hamiltonian Descriptions (2005)
Marmo, G., Scolarici, G., Simoni, A., Ventriglia, F.
In complete analogy with the classical situation (which is briefly reviewed) it is possible to define bi-Hamiltonian descriptions for Quantum systems. We also analyze compatible Hermitian structures...
Marmo, G., Scolarici, G., Simoni, A., Ventriglia, F.
We discuss the dynamical quantum systems which turn out to be bi-unitary with respect to the same alternative Hermitian structures in a infinite-dimensional complex Hilbert space. We give a necessary...
Alternative structures and bi-Hamiltonian systems on a Hilbert space (2005)
Marmo, G., Scolarici, G., Simoni, A., Ventriglia, F.
We discuss transformations generated by dynamical quantum systems which are bi-unitary, i.e. unitary with respect to a pair of Hermitian structures on an infinite-dimensional complex Hilbert space....
The Quantum-Classical Transition: The Fate of the Complex Structure (2005)
Marmo, G, Scolarici, G, Simoni, A, Ventriglia, F
According to Dirac, fundamental laws of Classical Mechanics should be recovered by means of an "appropriate limit" of Quantum Mechanics. In the same spirit it is reasonable to enquire about the...
Alternative Descriptions in Quaternionic Quantum Mechanics (2004)
Blasi, A., Scolarici, G., Solombrino, L.
We characterize the quasianti-Hermitian quaternionic operators in QQM by means of their spectra; moreover, we state a necessary and sufficient condition for a set of quasianti-Hermitian quaternionic...
Pseudo-Hermitian Hamiltonians, indefinite inner product spaces and their symmetries (2003)
Blasi, A., Scolarici, G., Solombrino, L.
We extend the definition of generalized parity $P$, charge-conjugation $C$ and time-reversal $T$ operators to nondiagonalizable pseudo-Hermitian Hamiltonians, and we use these generalized operators...
Quaternionic eigenvalue problem (2002)
De Leo, S., Scolarici, G., Solombrino, L.
We discuss the (right) eigenvalue equation for $\mathbb{H}$, $\mathbb{C}$ and $\mathbb{R}$ linear quaternionic operators. The possibility to introduce an isomorphism between these operators and...
On the pseudo-Hermitian nondiagonalizable Hamiltonians (2002)
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 spectrum) they are...
Pseudohermitian Hamiltonians, time-reversal invariance and Kramers degeneracy (2002)
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 as a quick test on...