Researcher: Scolarici, Giuseppe
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Scolarici, Giuseppe
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Publication Metadata only Pseudo-Hermiticity and electromagnetic wave propagation: The case of anisotropic and lossy media(Elsevier Science Bv, 2010) N/A; Department of Mathematics; Department of Economics; Mostafazadeh, Ali; Scolarici, Giuseppe; Faculty Member; N/A; Department of Mathematics; Department of Economics; College of Sciences; N/A; 4231; N/APseudo-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 loss or gain. We explore three concrete models to demonstrate the utility of our general results and reveal the physical meaning of pseudo-Hermiticity and quasi-Hermiticity of the relevant wave operator. In particular, we consider a uniaxial model where this operator is not diagonalizable. This implies left-handedness of the medium in the sense that only clockwise circularly polarized plane-wave solutions are bounded functions of time.Publication Metadata only Time evolution of quasi-hermitian open systems and generalized entropy functional(2010) Masillo, F.; Solombrino, L.; Department of Mathematics; Scolarici, Giuseppe; Teaching Faculty; Department of Mathematics; College of Sciences; N/AWe study general properties of dynamical maps preserving Hermiticity and quasi-Hermiticity, and prove that the generator of a dynamical semigroup is always a pseudo-Hermitian operator. Moreover, improving a previous proposal by Jakob and Stenholm, we introduce two new Lyapunov functionals for degenerate open systems, and apply such results to a physical example.Publication Metadata only Alternative descriptions and multipartite compound quantum systems(Soc Italiana Fisica, 2009) Masillo, F.; Solombrino, L.; Department of Mathematics; Scolarici, Giuseppe; Researcher; Department of Mathematics; College of Sciences; N/AWe give a necessary and sufficient kinematical condition for compound quantum systems provided with alternative inner products to be described in terms of k subsystems. Moreover, we propose some methods to characterize the dynamics ruled by quasi-Hermitian Hamiltonians associated with multipartite compound quantum systems.